The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C f…

The figure shows a circuit containing an electromotive force, a capacitor with a capacitance of C farads (F) , and a resistor with a resistance of R ohms (Ω) . The voltage drop across the capacitor is Q / C, where Q is the charge (in coulombs), so in this case Kirchhoff #x27;s Law gives R I+Q/C=E(t) But I=d Q / d t( see Example 3 in Section 3.7), so we have R d Q/d t+1/C Q=E(t) Suppose the resistance is 5 Ω, the capacitance is 0.05 Fal battery gives a constant voltage of 60 V, and the initial charge is Q(0)=0 C. Find the charge and the current at time t .

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