Determine the voltage vC across the capacitor shown in Figure P5.32 for t > 0. The voltage across the capacitor just before the switch is thrown is vC (0?) = ?7V. Assume:

Determine the voltage vC across the capacitor shown in Figure P5.32 for t > 0. The voltage across the capacitor just before the switch is thrown is vC (0?) = ?7V. Assume:


Analysis:

The current source and the capacitor will be in series so the current to the capacitor will be constant at I0. Therefore, the rate at which charge accumulates on the capacitor will also be constant and, consequently, the voltage across the capacitor will rise at a constant rate. The integral form of the capacitor i-V relationship best expresses this accumulation process. The continuity of the voltage across the capacitor requires:



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