a charge q = +6.77 mC with a massm = 0.081 kg suspended by a thread of length L = 0.022 mbetween the plates of a capacitor. (a) Plot the electric potentialenergy of the system as a function of the angle u the thread makeswith the vertical. (The electric field between the plates has a magnitude E = 4.16 * 104V/m.) (b) Repeat part (a) for the case of thegravitational potential energy of the system. (c) Show that thetotal potential energy of the system (electric plus gravitational) isa minimum when the angle u satisfies the equilibrium conditionfor the charge, tan u = qE>mg. This relation implies that u = 22°.

a charge q = +6.77 mC with a massm = 0.081 kg suspended by a thread of length L = 0.022 mbetween the plates of a capacitor. (a) Plot the electric potentialenergy of the system as a function of the angle u the thread makeswith the vertical. (The electric field between the plates has a magnitude E = 4.16 * 104V/m.) (b) Repeat part (a) for the case of thegravitational potential energy of the system. (c) Show that thetotal potential energy of the system (electric plus gravitational) isa minimum when the angle u satisfies the equilibrium conditionfor the charge, tan u = qE>mg. This relation implies that u = 22°.