Parallel Plate Capacitor Design Condition – Rankers Physics
Topic: Capacitors
Subtopic: Parallel Plate Capacitor

Parallel Plate Capacitor Design Condition

Assertion (A): In parallel plate capacitor separation 'd' should be smaller than the linear dimension of the plates \( d^2 << A\).
Reason (R): For \( d^2 << A \) a fringing effect can be ignored in the region sufficiently far from the edge.
 
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution:

Assertion (A) is true; for a parallel plate capacitor, 'd' must be much smaller than plate dimensions for the uniform field approximation. Reason (R) is also true. The condition \( d^2 << A \) (implying \( d << \sqrt{A} )\) allows ignoring fringing effects. Thus, (R) is the correct explanation for (A).

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