The initial values for i_1 and i_2 are 3A and -5A. If the voltage across the terminal is given as the following:
\(v(t)=-50e^{-2t} V\)
Where t is greater than or equal to zero.
L_1= 10mH and L_2=30mH
Find:
a) If the parallel inductor is replaced with a single inductor, what would be the value of the inductor?
b) What would be the initial current through the equivalent inductor (with the same reference values as the figure)?
c) Find i_1(t) and i_2(t) and verify that they satisfy using the Kirchoff's Current Law.