Simulation
The operation of the circuit can be simulated as shown below. During 0 <
q < p , the expression
for current is presented as equation (9). During p
< q < 2p , the
expression for current is shown as equation (10). 
The voltage across the inductor is obtained to be
vL(q ) = vs(q)
- R*i(q) , for 0 < q
< p and
vL(q ) = - R*i(q)
, for p < q <
2p .
vs(q) = E*sin (q).
It is preferable to normalize vs with respect to E and the current
with respect to E/R and then the only value required to be known for solving
for the current is t. The applet shown below simulates
this circuit. You have to key-in the ratio t and
then click on the button next to it. Do not key-in a NaN.
click here to open the applet
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