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current and voltage of the capacitor

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Please answer #5 only. See attached file for full problem description.

7.2-5: The voltage, v(t), and the current, i(t), of a 1-F capacitor adhere to the passive convention. Also, v(0) = 0 V and i(0) = 0 A.

(a) determine v(t) when i(t) = x(t), where x(t) is shown in Figure P 7.2-5 and i(t) has the units of A.

(b) determine i(t) when v(t) = x(t), where x(t) is shown in Figure P 7.2-5 and v(t) has the units of A.

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It finds the current of the capacitor given the voltage across it, and vice versa. The solution is detailed and was rated '5/5' by the student who originally posted the questions.

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