The current in the circuit in the following figure is known to be -2000t i = B1e The capacitor has a value of 80 nF; the initial value of the current is 7.5 mA; and the initial voltage on the capacitor is -30 V.(Figure 1) cos1500t + B2e® -2000t *sin1500t, t > 0. R L Io + i Vo - Find the voltage across the 80 nF capacitor. Assume the reference polarity for the capacitor voltage is positive at the upper terminal. 15e-2000t cos(1500t) + 45e¬2000£ sin(1500t) V -15е 2000г cos(1500t) + 22.5e-2000 sin(1500t) V -15e-2000t cos(1500t) – 22.5e¬2000t sin(1500t) V -15e 2000t cos(1500t) – 45e-2000t sin(1500t) V O -30e-2000t cos(1500t) + 45e-2000t sin(1500t) V -30e-2000t cos(1500t) + 22.5e¬2000t sin(1500t) V O -30e-2000t cos(1500t) 22.5е 2000+ sin(1500t) V — 30е 2000 cos(1500t) – 45e¬2000ł sin(1500t) V O O O O O

Sinusoids are defined as the mathematical waveforms that are used to describe the nature of periodic oscillations.

Electric circuits are a network that comprises of a closed-loop, which helps in providing a return path for the current through a switch. When the switch is activated, the load operates, and the current accepts a path to finish the circuit at a low poten…