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A capacitor is formed from two concentric spherical
Chapter 24, Problem 34E(choose chapter or problem)
A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 12.5 cm, and the outer sphere has radius 14.8 cm. A potential difference of 120V is applied to the capacitor.
(a) What is the energy density at r = 12.6 cm, just outside the inner sphere?
(b) What is the energy density at r = 14.7 cm, just inside the outer sphere?
(c) For a parallel-plate capacitor the energy density is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?
Questions & Answers
QUESTION:
A capacitor is formed from two concentric spherical conducting shells separated by vacuum. The inner sphere has radius 12.5 cm, and the outer sphere has radius 14.8 cm. A potential difference of 120V is applied to the capacitor.
(a) What is the energy density at r = 12.6 cm, just outside the inner sphere?
(b) What is the energy density at r = 14.7 cm, just inside the outer sphere?
(c) For a parallel-plate capacitor the energy density is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?
ANSWER:Solution 34E Step 1: Introduction : We need to find the energy density at r=12.6cm just outside the inner circle We need to find the energy density at r=14.7 cm, just inside the outer sphere We know that the energy density in uniform between the plates except at the edges for parallel plate capacitor, we need to analyse if this is true even for spherical capacitor Data given Radius of inner circle r 1 12.5 cm Radius of outer circle r 2 14.8 cm Potential difference V = 120 V