NEET Physics Question - Capacitors - Spherical Capacitors

Assertion (A): It is not possible to make a spherical conductor of capacitor one farad.

Reason (R): It is possible for earth as its radius is \( 6400 \text{ km} \).

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 an isolated sphere, \( C = 4\pi \epsilon_0 R ). For \( C=1 \text{ F} \), \( R \approx 9 \times 10^9 \text{ m} \), which is astronomically large. Reason (R) is false. Earth's capacitance is \( C \approx 711 \mu\text{F} ), far less than 1 Farad.

Rankers Physics

Spherical Conductor Capacitance

Solution:

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