Amplitude of the voltage drop across the capacitor
Suppose a 10 kHz signal with an amplitude of 1 volt is applied across a 0.25 * 10^-6 F resistor and a capacitor which are connected in series. What is the amplitude of the voltage drop across the capacitor?
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Suppose X is uniform on (0, 1) and Y=X. Find the joint distribution function of X and Y.
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Suppose X has density function x/2 for 0 < x < 2 and 0 otherwise. Find the density function of Y = X(2 - X) by computing P(Y greater than or equal to y) and then differentiating.
Suppose X and Y have joint density f(x,y) = 1 for 0 < x, y < 1. Find P (XY is smaller than or equal to z).
Suppose X is uniform on (0,1) and Y = X. Find the joint distribution function of X and Y.
Calculate the magnitude and direction of the electric force F {using F=qE} acting on an ion of charge -3e if this particle were placed at the origin:
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