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Consider the circuit shown in Fig. 1. Initially, the switch S is open for a long time. At time t, S closes. The switch

  

Consider the circuit shown in Fig. 1. Initially, the switch S is open for a long time. At time t, S closes. The switch then remains closed for a long time. At t, the switch opens. Assume that the rise time is defined as the duration of time it takes for a signal to change from 10% to 90% of its steady-state value, and the fall time is the duration of time it takes to change from 90% to 10%. Determine the rise time of the voltage across the capacitor, Vc, after the switch is closed. Assume the circuit then reaches steady-state. Determine the fall time of Vc after the switch is opened. Assume the switch has been open for a long time. At time t = 0, the switch closes. Determine the voltage across the capacitor at t = 5 ms. Value Units Rise Time Fall Time Vat t = 5 ms Varc +1 S C Vc Fig. 1. RC circuit. Vsrc =5V, C=100 F, R = 33 2.

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