With the circuit in the zero state, the input to the integrator shown in Figure P1061 is v1(t) cos1000t V. The desired output is

With the circuit in the zero state, the input to the integrator shown in Figure P10–61 is v1(t) ¼ cos1000t V.

The desired output is v2(t) ¼ sin 1000t V. Use Laplace to select values of R and C to produce the desired output. If the capacitor had 10 V across it at t ¼ 0, how would that affect the output?

R +W 1/Cs V(s) FIGURE P10-61 > + V2(s)