Considering the RL series circuit shown in Figure 1, and assuming that the DC power supply is E and the current that flows through the circuit after t seconds is I, the following formula holds true. $$E=RI+L\frac{dI}{dt}\hspace{50pt}(1)$$ Let’s consider how to solve a differential equation using the Laplace transform to find the current I. Laplace …

fig.1 RL series circuit(Alternating current) Now, let’s consider an RL series circuit as shown in Figure 1, assume the AC power source is E, and think about how to find the current I that flows t seconds after turning on the switch. Now, in the circuit of Figure 1, the following circuit equation holds true …