Determine the voltage vLt across the inductor Leave your ans

Determine the voltage v_L(t) across the inductor. Leave your answer in polar form.

Solution

V_S(t) = 24 cos( 1000t ) = 24 sin( 1000t - 90^o)

L = 3 mH.

X_L = L = 1000 x 3 x 10^-3= 3.

I_L = V_S/jX_L = 24 -90^o / 3 90^o = 8 0^o

V_L=X_LI_L=24 0^o