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(A ): When a capacitor is getting charge...

(A ): When a capacitor is getting charged the conduction current in the connecting wires at any instant is equal to the displacement current in between the capacitor plates. (R) : Conduction current is always greater than the displacement current.

A

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

B

Both 'A' and ’R' are true and 'R' is not the correct explanation of 'A

C

A' is true and 'R' is false

D

'A' is false and R' is true

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion (A) and the reason (R) provided. ### Step-by-Step Solution: 1. **Understanding the Assertion (A)**: - The assertion states that when a capacitor is being charged, the conduction current in the connecting wires is equal to the displacement current between the capacitor plates. - This is based on Maxwell's concept of displacement current, which accounts for the changing electric field in the dielectric between the capacitor plates. 2. **Understanding the Displacement Current**: - Displacement current (Id) is defined as: \[ I_d = \epsilon_0 \frac{d\Phi_E}{dt} \] where \(\Phi_E\) is the electric flux and \(\epsilon_0\) is the permittivity of free space. - The displacement current arises due to the changing electric field in the capacitor when it is charged. 3. **Conduction Current in Wires**: - The conduction current (Ic) in the wires is the actual flow of charge (electrons) through the conductive material. - According to Kirchhoff's laws, the conduction current flowing into the capacitor must equal the displacement current flowing out of the capacitor. 4. **Applying Ampere's Law**: - When applying Ampere's law, we can consider a closed loop that includes the conduction current in the wires and the displacement current in the capacitor. - The law states that the line integral of the magnetic field around a closed loop is proportional to the total current (including both conduction and displacement currents) passing through the loop. 5. **Conclusion on Assertion (A)**: - Since the conduction current in the wires is equal to the displacement current in the capacitor, the assertion (A) is true. 6. **Understanding the Reason (R)**: - The reason states that the conduction current is always greater than the displacement current. - This is incorrect because, during the charging of a capacitor, the conduction current is equal to the displacement current at any instant. 7. **Final Evaluation**: - Therefore, the assertion (A) is true, while the reason (R) is false. The correct answer is that (A) is true and (R) is false. ### Final Answer: - (A) is true and (R) is false.
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Knowledge Check

  • The conduction current is the same as displacement current when the source is

    A
    ac only
    B
    dc only
    C
    either ac or dc
    D
    neither dc nor ac
  • In the question 3, the ratio of conduction current and the displacement current is

    A
    `((api)/(lamda))^(2)`
    B
    `((a pi)/(lamda))`
    C
    `((lamda)/(api))^(2)`
    D
    `((lamda)/(2pi))`
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