Figure 20-30 shows a charge q = +6.77 ?C with a mass m =

Chapter 20, Problem 101GP

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Problem 101GP

Figure 20-30 shows a charge q = +6.77 μC with a mass m = 0.071 kg suspended by a thread of length L = 0.022 m between the plates of a capacitor, (a) Plot the electric potential energy of the system as a function of the angle θ the thread makes with the vertical. (The electric field between the plates has a magnitude E = 4.16 × 104 V/m.) (b) Repeat part (a) for

tine case of the gravitational potential energy of the system, (c) Show that the total potential energy of the system (electric plus gravitational) is a minimum when the angle θ satisfies the equilibrium condition for the charge, tan θ = qE/mg. TIn s relation implies that θ = 22°.

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