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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.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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