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For the circuit below, the switch has been at position A for a long time. At t=0, the switch in the circuit below moves to position B. Find Vc(t), the voltage across the capacitor for 𝑡 ≥ 0.

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One way to analyze a capacitor circuit is to look at the “boundary conditions” of the circuit. The boundary conditions are the states at which the circuit starts and finishes. These states would be the starting voltage:
V_C (0^+) and V_C (∞)
The voltage of a capacitor starts at V_C (0^+) and exponentially approaches V_C (∞...
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