Question

Direction: Question consists of two statements, one labeled as the 'Assertion (A)' and the other as 'Reason (R)'. Examine these two statements carefully and select the answer to this question using the codes given below:

Assertion (A): Capacitance between two parallel plates of area 'A' each and distance of separation 'd' is εA/d for a large A/d ratio.

Reason (R): Fringing electric field can be neglected for a large A/d ratio.

1. Both A and R are individually true and R is the correct explanation of A
2. Both A and R are individually true but R is not the correct explanation of A
3. A is true but R is false
4. A is false but R is true

Answer 1

Correct Answer - Option 1 : Both A and R are individually true and R is the correct explanation of A

Concept:

If the A/d ratio is large then a uniform electric field present between the parallel plates of capacitors.

Definition:

Fringing Effect:

Due to the Fringing effect, we observe a non-uniform electric field between the parallel plates of capacitors.

Conclusion:

The capacitance of parallel plate \(C = \frac{{A\epsilon}}{d}\) only when large A/d ratio present, because Fringing effect can be neglected for large A/d ratio.