wo spherical capacitors has radii of inner and outer spheres as (a, b) and (c, d) respectively. If they have same capacitance thenChoose answer: a + b = c + d b – a = d – c
Question
wo spherical capacitors has radii of inner and outer spheres as (a, b) and (c, d) respectively. If they have same capacitance thenChoose answer: a + b = c + d b – a = d – c
Solution
The capacitance C of a spherical capacitor is given by the formula:
C = 4πε₀ (ab/(b-a)) for a spherical capacitor with inner radius a and outer radius b.
Given that the two spherical capacitors have the same capacitance, we can set their capacitances equal to each other:
4πε₀ (ab/(b-a)) = 4πε₀ (cd/(d-c))
Solving this equation, we find that b - a = d - c. Therefore, the correct answer is "b – a = d – c".
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