The time dependent current that passes through a circuit with applied voltage V(t), constant resistance R, and constant inductance L, is de- scribed by the following integral: el-R/L) i V(t)e(R/L)E dt. L Assume that an alternating voltage is applied to the circuit with a form V(t) = Vm sin(wt), where Vm is the peak voltage and w is the alternating frequency. Then, the integral for the current takes form: a(t) = exxejte r = - Yay 17/18 exRLye . e sint el-R/L)t i(t) sin(wt)e(R/L)t dt. L Use the above equation to find the current in the circuit with an applied voltage with peak value Vm = 120 Volts, frequency f = 60 Hz (w 27. 60), inductance L = 10 Henry, resistance R= 100 Ohms. 1