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The switch in an RC circuit (with voltage AV, resistor R, and capacitor C) closes at t = 0s and, after a very long time, the capacitor is fully charged. Find expressions for a) the total energy supplied by the battery as the capacitor is being charged b) total energy dissipated by the resistor as the capacitor is being charged, and c) the energy stored in the capacitor when it is fully charged. d) Do your results for parts (a) to (c) show that energy is conserved? Explain. Your expressions for parts (a)-(c) will be in terms of AV, R, and C.

The switch in an RC circuit (with voltage AV, resistor R, and capacitor C) closes at t = 0s and, after a very long time, the capacitor is fully charged. Find expressions for a) the total energy supplied by the battery as the capacitor is being charged b) total energy dissipated by the resistor as the capacitor is being charged, and c) the energy stored in the capacitor when it is fully charged. d) Do your results for parts (a) to (c) show that energy is conserved? Explain. Your expressions for parts (a)-(c) will be in terms of AV, R, and C.

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The switch in an RC circuit (with voltage AV, resistor R, and capacitor C) closes at t = 0s and, after a very long time, the capacitor is fully charged. Find expressions for a) the total energy supplied by the battery as the capacitor is being charged b) total energy dissipated by the resistor as the capacitor is being charged, and c) the energy stored in the capacitor when it is fully charged. d) Do your results for parts (a) to (c) show that energy is conserved? Explain. Your expressions for parts (a)-(c) will be in terms of AV, R, and C.
Transcribed Image Text:The switch in an RC circuit (with voltage AV, resistor R, and capacitor C) closes at t = 0s and, after a very long time, the capacitor is fully charged. Find expressions for a) the total energy supplied by the battery as the capacitor is being charged b) total energy dissipated by the resistor as the capacitor is being charged, and c) the energy stored in the capacitor when it is fully charged. d) Do your results for parts (a) to (c) show that energy is conserved? Explain. Your expressions for parts (a)-(c) will be in terms of AV, R, and C.
Expert Solution
Step 1

Given:

The voltage in the RC circuit is, ∆V.

The value of resistance of the resistor is, R.

The value of capacitance of the capacitor is, C.

The switch is closed at, t=0 s.

To compute:

a) the total energy supplied by the battery during the charging of the capacitor.

b) the total energy dissipated by the resistor during the charging of the capacitor.

c) the energy stored in the capacitor when it is fully charged.

d) whether the energy is conserved.

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