Answer Happy

The last homework involved the roots of the characteristic polynomial for the series and parallel RLC circuits; this problem looks at the initial conditions needed to evaluate the unknown coefficients in the transient solution. For this series configuration 27 F 73 w 1=0 w 6 V 86 mH the desired circuit variable is the loop current marked i. Find its final value. i(int): Part #2 - Score: 0/10 Since i is the same as the inductor current (so it stays fixed from time 0 to 01) evaluating it before the switching occurs tells us the initial condition on i. Find this value. (0*): Part #3 - Score: 0/10 As mentioned in class, the third condition needed (since there are 3 unknown coefficients) is the value of the derivative of i at time 0t. To find this you should use KVL around the loop including the facts that the inductor's voltage is proportional to the derivative of its current, YL = L di/dt, and that the capacitor's voltage does not change from times 0-to 0+ (further, let's assume that it is zero). Evaluate this derivative, entering your value assuming units of amps/second (no need to write the words, a unitless submission is fine). di/dt(o); Part #4 - Score: 0/10 Assuming a solution of the form i(t)=B exp(- alpha t) cos ( wd!) + B2 exp(- alpha t) sin ( wd t) +i(inf), find B, and B2 (in this expression alpha and we are the real and imaginary parts of the complex roots, respectively). Your units should be amps for both (no need to enter). B: Part #5 - Score: 0/10 B2: