The switch in this circuit has been closed for a long time, and is opened at...

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The switch in this circuit has been closed for a long time, and is opened at time t = 0. Suppose Is = 26 mA, L = 2.6 H, C = 0,25 pF, and the resistance values are Rg = 260 N and R = 430 n. t=0 (a) Determine the following initial conditions for the inductor current i: (0) = diL(o') - mA/s dt (b) Determine the roots of the characteristic equation for i. (If the roots are real, state the smaller-magnitude one first; if they are complex, state them in rectangular form, giving the one with positive imaginary part first and using j for v-1. |s (c) Determine the inductor current i (t) as a function of time t (in seconds), for t> 0. Identify the numerical values of the parameters in whichever of the following forms is appropriate i, (t) = k, el + k, e-bt (with la < [b|), or (t) = ent. [kj cos(br) + k,sin(bt)]. ki = mA mA The switch in this circuit has been closed for a long time, and is opened at time t = 0. Suppose Is = 26 mA, L = 2.6 H, C = 0,25 pF, and the resistance values are Rg = 260 N and R = 430 n. t=0 (a) Determine the following initial conditions for the inductor current i: (0) = diL(o') - mA/s dt (b) Determine the roots of the characteristic equation for i. (If the roots are real, state the smaller-magnitude one first; if they are complex, state them in rectangular form, giving the one with positive imaginary part first and using j for v-1. |s (c) Determine the inductor current i (t) as a function of time t (in seconds), for t> 0. Identify the numerical values of the parameters in whichever of the following forms is appropriate i, (t) = k, el + k, e-bt (with la < [b|), or (t) = ent. [kj cos(br) + k,sin(bt)]. ki = mA mA