The inductor in Figure P6-15 carries an initial current of \(i_{\mathrm{L}}(0)=20 \mathrm{~mA}\). At \(t=0\), the switch opens, and thereafter the voltage across the inductor is \(v_{\mathrm{L}}(t)=-6 e^{-1000 t}\) \(\mathrm{mV}\). Derive expressions for \(i_{\mathrm{L}}(t)\) and \(p_{\mathrm{L}}(t)\) for \(t>0\). Is the inductor absorbing or delivering power?

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L (1) + VL(1) 50 H i(1) t=0 Rest of the circuit