Solved Problems in Physics, Physical Chemistry, and Computer Simulation Projects for College and Graduate Students.  # Variable Capacitor in an Old-Fashioned Radio

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Question:

An old-fashioned radio is tuned by means of a variable capacitor whose capacitance varies through 10 < C < 100 pF as the shaft is rotated through 0 < θ < π.
a) The potential across the capacitor is maintained at Φ = 100 V . Show that the torque on the shaft is What is the value of the torque?

b) The capacitor is rotated to θ = π (C=100 pF), charged to Φ = 100 V, and the voltage source disconnected. The capacitor is then rotated to θ = 0 (C=10 pF). What is the voltage on the capacitor now? What is the energy in the electric field?

c) The capacitor is rotated to θ = π (C=100 pF) and charged to Φ = 100 V . The capacitor is then rotated to θ = 0 (C=10 pF) with the voltage source connected. What is the energy in the electric field now?

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