77. A spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. The inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor. (a) What is the capacitance of the capacitor? (b) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?
77. A spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. The inner sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor. (a) What is the capacitance of the capacitor? (b) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for a spherical capacitor?
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Transcribed Image Text:77. A spherical capacitor is formed from two concentric spherical conducting spheres separated by vacuum. The inner sphere
has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential difference of 120 V is applied to the capacitor. (a) What
is the capacitance of the capacitor? (b) What is the magnitude of the electrical field at r = 12.6 cm, just outside the inner
sphere? (c) What is the magnitude of the electrical field at r = 14.7 cm, just inside the outer sphere? (d) For a parallel-plate
capacitor the electrical field is uniform in the region between the plates, except near the edges of the plates. Is this also true for
a spherical capacitor?

Transcribed Image Text:3. (Sce Problem 77, OpenStax Chapter 8) A spherical capacitor is formed from
two concentric spherical conducting spheres separated by vacuum. The inner
sphere has radius 12.5 cm and the outer sphere has radius 14.8 cm. A potential
difference of 120 V is applied to the capacitor. Show steps on how to solve for
parts (a), (b), and (c). Note: Numerical solutions are provided.
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