2000010806

Let’s have a coil of $0.06\mathrm{H}$ inductance. The current flowing through the coil is given by $$i=0.2\sin (100\pi t),$$ where time $t$ is measured in seconds and current $i$ is measured in amperes. Determine the voltage induced in the coil at time $t=2$ seconds. (Hint: Instantaneous voltage can be expressed as the derivative of current function with respect to time: $u(t)=-L\frac{\mathrm{d}i}{\mathrm{d}t}$. The negative sign indicates only that voltage induced opposes the change in current through the coil per unit time. It does not affect the magnitude of the voltage.)