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Current Electricity

Class 12th Physics Chapter Assertion and Reason


Assertion and Reason Questions Chapter-3 Current Electricity

Assertion (A) and other labelled Reason (R). Select the correct answer to these questions from the options as given below.

A. Both A and R are true, and R is the correct explanation of A.

B. Both A and R are true, but R is not the correct explanation of A.

C. A is true, but R is false.

D. A is false, but R is true.


1. Assertion (A): The unit of electric current is the ampere.

Reason (R): One ampere is defined as the flow of one coulomb of charge per second.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The definition of an ampere directly relates to the flow of charge, confirming that the assertion is true.

2. Assertion (A): The direction of conventional current is opposite to the flow of electrons.

Reason (R): Electrons are negatively charged particles.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Conventional current is defined as the flow of positive charge, which is opposite to the movement of negatively charged electrons.

3. Assertion (A): Ohm's law states that the current through a conductor is directly proportional to the voltage across it.

Reason (R): This relationship holds true for all types of materials.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: While Ohm's law is true for ohmic conductors, it does not apply to all materials, especially non-ohmic ones like semiconductors.

4. Assertion (A): In a series circuit, the current remains constant throughout all components.

Reason (R): The voltage across each component can vary in a series circuit.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The same current flows through each component in a series circuit, while the voltage can differ across them.

5. Assertion (A): In a parallel circuit, the total current is equal to the sum of the currents through each branch.

Reason (R): The voltage across each branch in a parallel circuit is the same.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The current divides in a parallel circuit, and the total current is the sum of the currents in each branch due to the constant voltage.

6. Assertion (A): The resistance of a conductor increases with an increase in temperature.

Reason (R): Increased temperature causes more frequent collisions between charge carriers.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: As temperature rises, charge carriers collide more frequently, leading to increased resistance.

7. Assertion (A): A voltmeter is always connected in series with the circuit elements.

Reason (R): A voltmeter measures the potential difference across two points.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: A voltmeter is connected in parallel to measure potential difference, not in series.

8. Assertion (A): An ammeter is used to measure current flowing through a circuit.

Reason (R): An ammeter has a very high resistance to ensure accurate measurements.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: An ammeter has low resistance to minimize its impact on the circuit while measuring current.

9. Assertion (A): The power consumed in an electrical circuit can be calculated using P=IV.

Reason (R): P represents power, I is current, and V is voltage.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The formula correctly represents the relationship between power, current, and voltage.

10. Assertion (A): The total resistance in a series circuit is the sum of the individual resistances.

Reason (R): In a series circuit, the current is the same through all components.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The total resistance is calculated by summing all individual resistances due to the constant current in series.

11. Assertion (A): Kirchhoff's voltage law states that the sum of the potential differences in any closed loop of a circuit is zero.

Reason (R): This is due to the conservation of energy principle in electrical circuits.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Kirchhoff's voltage law is based on the conservation of energy, asserting that energy gained equals energy lost in a closed loop.

12. Assertion (A): The current in a conductor is directly proportional to the electric field applied across it.

Reason (R): This relationship is described by Ohm's law.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Ohm's law relates current to electric field, confirming the assertion.

13. Assertion (A): The total resistance in a parallel circuit decreases with the addition of more resistors.

Reason (R): Adding more paths for current allows more charge to flow.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: More resistors in parallel provide additional paths, leading to a decrease in total resistance.

14. Assertion (A): A capacitor blocks direct current (DC) while allowing alternating current (AC) to pass.

Reason (R): Capacitors store charge and only allow changes in voltage to pass.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Capacitors charge up with DC and block it, while AC varies and continuously charges and discharges the capacitor.

15. Assertion (A): Superconductors exhibit zero resistance below a certain critical temperature.

Reason (R): This property is due to the alignment of electron pairs in the material.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Superconductivity occurs due to electron pairing, resulting in zero resistance.

16. Assertion (A): The internal resistance of a battery affects its output voltage.

Reason (R): Higher internal resistance results in greater voltage drop when current flows.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Internal resistance leads to a voltage drop according to Ohm's law, affecting the output voltage.

17. Assertion (A): Resistance depends on the material, length, and cross-sectional area of the conductor.

Reason (R): These factors affect the ability of the conductor to allow current flow.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Resistance is determined by the material's resistivity, length, and area, affecting current flow.

18. Assertion (A): The drift velocity of electrons in a conductor is very high.

Reason (R): Electrons collide frequently with the atoms of the conductor.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: The drift velocity is actually quite low due to frequent collisions, contradicting the assertion.

19. Assertion (A): A resistor in an electric circuit can convert electrical energy into heat energy.

Reason (R): The heat generated is proportional to the current squared times resistance.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The relationship P= \(\ I^{2}\) R shows how resistors convert electrical energy to heat.

20. Assertion (A): In a circuit, the voltage across each resistor in series is the same.

Reason (R): In a series circuit, the same current flows through each resistor.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: The voltage is different across resistors in series; however, the same current does flow through each.

21. Assertion (A): The potential difference across a battery is constant regardless of the current drawn.

Reason (R): This is due to the battery's internal resistance.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: The potential difference may drop with increased current due to internal resistance; hence, it is not constant.

22. Assertion (A): The resistivity of a material is independent of its shape and size.

Reason (R): Resistivity is an intrinsic property of a material.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Resistivity is a characteristic of materials and does not change with shape or size.

23. Assertion (A): The electrical power in a circuit can be measured in watts.

Reason (R): One watt is defined as one joule per second.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The definition of a watt supports the assertion about measuring power.

24. Assertion (A): A battery can be modeled as a voltage source in series with a resistor.

Reason (R): The internal resistance of the battery affects its output voltage.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The model reflects how internal resistance impacts the battery’s performance.

25. Assertion (A): The capacitance of a capacitor increases when the distance between the plates is decreased.

Reason (R): Capacitance is directly proportional to the area of the plates.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: While capacitance increases with reduced distance, it is also influenced by plate area, making R an insufficient explanation.

26. Assertion (A): An electrical circuit cannot operate without a complete path for current.

Reason (R): Current requires a closed loop to flow.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A closed loop is essential for current flow, confirming the assertion.

27. Assertion (A): A fuse is used in electrical circuits to prevent excessive current.

Reason (R): A fuse melts when the current exceeds its rating.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The fuse's operation protects the circuit by breaking the current flow when necessary.

28. Assertion (A): In a resistive circuit, the current is not dependent on the voltage.

Reason (R): The relationship between voltage and current is defined by Ohm's law.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: The assertion is incorrect; current is directly dependent on voltage according to Ohm's law.

29. Assertion (A): The equivalent resistance in a parallel circuit can never exceed the smallest resistance in the circuit.

Reason (R): Parallel resistors provide multiple paths for current flow.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The equivalent resistance formula for parallel circuits confirms that it is always less than the smallest resistor.

30. Assertion (A): The current through a capacitor increases with increasing frequency of the applied voltage.

Reason (R): The capacitive reactance decreases with increasing frequency.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Higher frequency leads to lower capacitive reactance, allowing more current to flow through the capacitor.

31. Assertion (A): A short circuit occurs when a low-resistance connection forms between two points in a circuit.

Reason (R): This connection allows excessive current to flow.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The explanation directly supports the assertion regarding short circuits and current flow.

32. Assertion (A): The electric field inside a conductor in electrostatic equilibrium is zero.

Reason (R): Charge carriers within the conductor redistribute to cancel any electric field.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The redistribution of charges leads to a net electric field of zero inside the conductor.

33. Assertion (A): The energy stored in a capacitor is given by the formula U= \(\frac{1}{2}CV^{2}\) .

Reason (R): This formula is derived from the work done to charge the capacitor.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The formula correctly represents the energy stored based on the work done in charging a capacitor.

34. Assertion (A): A circuit breaker automatically interrupts current flow to protect the circuit.

Reason (R): Circuit breakers rely on fuses to function.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: Circuit breakers operate independently of fuses, using electromechanical systems to interrupt current.

35. Assertion (A): The potential difference across a resistor is directly proportional to the current flowing through it.

Reason (R): This relationship is defined by Ohm's law.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: Ohm's law establishes the direct relationship between voltage and current in a resistor.

36. Assertion (A): The thermal effect of current is utilized in electric heaters.

Reason (R): Electric heaters convert electrical energy into heat energy.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The assertion accurately reflects the principle of electric heaters utilizing thermal effects.

37. Assertion (A): A potentiometer can be used to measure the potential difference without drawing current from the circuit.

Reason (R): It operates based on the principle of null deflection.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: A potentiometer measures voltage without drawing current, confirming the assertion.

38. Assertion (A): A battery connected in series with a resistor will have a constant voltage across it during discharge.

Reason (R): The internal resistance of the battery does not change during discharge.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: The battery voltage decreases during discharge due to internal resistance effects; thus, A is incorrect.

39. Assertion (A): The effective resistance in a series circuit can be calculated using \(\ {R_total} = {R_1} + {R_2} + {R_3} + ....\)

Reason (R): In series, the total current remains the same through each resistor.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The assertion is true, and the explanation aligns with the behavior of series circuits.

40. Assertion (A): Capacitors block DC while allowing AC to pass.

Reason (R): Capacitors store energy in the electric field.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The ability of capacitors to block DC while allowing AC is due to their energy storage characteristics.

41. Assertion (A): In a parallel circuit, the voltage across each resistor is the same.

Reason (R): This property allows for individual operation of resistors.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The explanation highlights the fundamental principle of parallel circuits.

42. Assertion (A): Kirchhoff's voltage law states that the total voltage around a closed circuit is zero.

Reason (R): This law is a consequence of the conservation of energy.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The law reflects energy conservation, confirming the assertion.

43. Assertion (A): The internal resistance of a battery decreases as it discharges.

Reason (R): This is due to the chemical changes occurring within the battery.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: The internal resistance typically increases as a battery discharges due to chemical processes.

44. Assertion (A): Supercapacitors have higher capacitance than traditional capacitors.

Reason (R): This allows them to store more energy per unit volume.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The explanation accurately relates to the nature of supercapacitors and their energy storage capacity.

45. Assertion (A): The current in a series circuit decreases when additional resistors are added.

Reason (R): Adding resistors increases the total resistance of the circuit.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The increase in total resistance directly results in a decrease in current.

46. Assertion (A): The total energy consumed in a circuit can be calculated using the product of power and time.

Reason (R): Power is defined as energy consumed per unit time.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: This relationship is fundamental in understanding energy consumption in electrical circuits.

47. Assertion (A): The magnetic field around a current-carrying wire can be detected using a compass.

Reason (R): The magnetic field is generated due to the movement of electric charge.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The assertion and explanation together confirm the interaction of electric current and magnetic fields.

48. Assertion (A): The voltage drop across a resistor is always less than the supply voltage in a circuit.

Reason (R): Energy is dissipated in the form of heat in the resistor.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The energy dissipation leads to a voltage drop that is less than the supply voltage.

49. Assertion (A): Ohm's law can be applied to both DC and AC circuits.

Reason (R): Ohm's law is applicable to linear components in circuits.

  • (a) Both A and R are true, and R is the correct explanation of A.
  • Answer: (a)
    Explanation: The explanation emphasizes the applicability of Ohm's law under certain conditions.

50. Assertion (A): The power dissipated in a resistor is independent of the resistor's temperature.

Reason (R): Temperature changes do not affect the resistance of the material.

  • (b) Both A and R are true, but R is not the correct explanation of A.
  • Answer: (b)
    Explanation: The power dissipation in a resistor is affected by its temperature; thus, A is incorrect.