Final answer:
The voltage across the coil can be calculated by multiplying the current through the coil by the inductance. In time domain, the voltage is 0.7sin(377t - 70°) V and in frequency domain it is represented as the phasor 0.7∠-70° V.
Step-by-step explanation:
The voltage across an inductor can be found by multiplying the current through the inductor by the inductance of the coil. In this case, the current through the coil is given by i(t) = 7sin(377t - 70°) A, and the inductance of the coil is 0.1 H. Therefore, the voltage across the coil can be calculated as:
Vₗ(t) = L x i(t) = 0.1 x 7sin(377t - 70°) V = 0.7sin(377t - 70°) V
In the frequency domain, the voltage across the coil can be represented as the phasor of the voltage:
Vₗ(f) = 0.7∠-70° V