1. Given a sinusoid v1 (t) whose phasor is V1 = 4 - j 3 V, use phasor methods to find a voltage v2 (t) that lags v1 (t) by 90 and has an amplitude of 10 V.
2. A new parameter Z is defined as V/I. If V = 9.85 + j 1.74 V and i(t) = -4 sin (ωt) A, find Z
3. Complex power S is defined as VI∗, where I∗ is the complex conjugate of the current phasor. If V = 1200 + j 1600 V and I = 800 - j 600 mA, find S.