Consider the battery of constant voltageE0 that charges the capacitor shown in FIGURE
Chapter 4, Problem 35(choose chapter or problem)
Consider the battery of constant voltageE0 that charges the capacitor shown in FIGURE 4.3.9. Divide equation (20) by Land define 2,\ = RIL and w2 = l/LC. Use the Laplace transform to show that the solution q(t) of q" + 2,\q' + w2q = E0/L, subject to q(O) = 0, i(O) = 0, is E0c[ 1 - e-At(coshVA2 - w2t + V A sinhVA.2 - w21)] . A> w ,\2 _ w2 q(t) = E0c[ 1 - e-At(l + A t)] . A = w E0c[ 1 - e-.1.{ cos V w2 - A.2t + V A sin V w2 - A2t)] . ,\. < w.
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