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Voltage, current, power, and stored energy of capacitor

Prior to t=0, a 100- uF capacitance is uncharged. Starting at t=0, the voltage across the capacitor is increased linearly with time to 100V in 2s. Then, the voltage remains constant at 100V. Sketch the voltage, current, power, and stored energy to scale versus time.

Please show equations for the sketches.

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The solution provides a detailed and step-by-step explanation (incl. graphs) for the problem.