Looping Back

The questions below are due on Monday March 17, 2025; 10:00:00 PM.
 
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Consider the following circuit:

Assume that at time t=0^-, the inductor is fully discharged, i.e., i_{\rm L}(t=0^-) = 0{\rm A}.

Voltage

For t > 0, the voltage v(t) = A_1 e^{st} + B_1 for some values of A_1, B_1, and s. Find those values, and enter your answers either as exact numbers or simple Python expressions. Assume that t is specified in units of seconds.

A_1 (in Volts) =~

B_1 (in Volts) =~

s (in Hertz) =~

Current

For t > 0, the current i_{\rm L}(t) = A_2 e^{st} + B_2 for some values of A_2, B_2, and s. Find those values, and enter your answers either as exact numbers or simple Python expressions. Assume that t is specified in units of seconds.

A_2 (in Amps) =~

B_2 (in Amps) =~

s (in Hertz) =~