Consider the circuit shown in Fig. The circuit elements are as follows: ε = 32.0 V, L = 0....

Consider the circuit shown in Fig. The circuit elements are as follows: ε = 32.0 V, L = 0.640 H, C = 2.00 µF, and R = 400 Ω. At time t = 0, switch S is closed. The current through tire inductor is i1, the current through the capacitor branch is i2, and the charge on tire capacitor is q2. (a) Using Kirchhoff’s rules, verify the circuit equations

(b)what are the initial values of i1, i2 and q2? (c) Show by direct substitution that the following solutions for i1 and q2 satisfy the circuit equations from part (a). Also, show that they satisfy the initial conditions

(d) determine the i1 at which i2 first becomes zero.

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