For t gt 0 the voltage across an energy storage element is

Question

1. For t > 0 the voltage across an energy storage element is v (t) = 5 - 20 e^-500t V and the current through the element is i (t) = 2000t + 16 e^-500t mA. What are the element, the element value, and its initial condition?

2. The OP AMP integrator in given Figure has R = 33 kΩ, C=0.056μF, and v_O(0) = 10 V. The input is v_S(t)= 5 e^-500t u(t) V. The OP AMP has a V_CC =± 15 V. Find v_O(t) for t > 0.