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NEET
Exam
NEET
Subject
Physics
Chapter
Electromagnetic Waves

NEET · Physics · Electromagnetic Waves

Given below are two statements: one is labelled as Assertion (A)...

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A): For a charging circular parallel plate capacitor, the induced magnetic field at the central axis connecting the plates is zero.

Reason (R): The displacement current density is zero at the central axis of the capacitor.

In the light of the above statements, choose the most appropriate answer from the options given below:

Options

  1. ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
  2. BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
  3. C(A) is correct but (R) is not correct
  4. D(A) is not correct but (R) is correct

Correct answer

C. (A) is correct but (R) is not correct

Step-by-step solution

Assertion (A) is correct: According to the Ampere-Maxwell law, ∮B⃗⋅dl⃗=μ0Id,enclosed\oint \vec{B} \cdot d\vec{l} = \mu_0 I_{d,\text{enclosed}}. At the central axis (r=0r = 0), an Amperian loop encloses zero area, meaning the enclosed displacement current is zero. Hence, the induced magnetic field BB is zero.

Reason (R) is incorrect: The changing electric field EE is uniform across the entire area of the plates. Therefore, the displacement current density Jd=ϵ0dEdtJ_d = \epsilon_0 \dfrac{dE}{dt} is uniform and non-zero everywhere between the plates, including at the central axis.

Thus, (A) is correct but (R) is not correct.

Answer: (A) is correct but (R) is not correct
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