The differential equation governing the charge q(t) on the capacitor in an RC circuit is
Chapter 10, Problem 48(choose chapter or problem)
The differential equation governing the charge q(t) on the capacitor in an RC circuit is dq dt + 1 RC q = 1 R E(t), where R and C are constants and E(t) represents the applied EMF. Over a time interval of 10 seconds, the applied EMF has the constant value 20 V. Thereafter, the EMF decays exponentially according to E(t) = 20e(t10) . If the capacitor is initially uncharged and RC = 1, determine the current in the circuit for t > 0. [Recall that the current i(t) is related to the charge on the capacitor by i(t) = dq dt .]
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