2.191 A uniform line charge of 21.C/m is located on the z axis. Find E in...
Consider an infinite uniform line charge density of 3 nC/m located on the X axis in fre spaee Calculate the electric field vector E of at the point P (2. 3,4) 2. (2 Marks) Calculate the electric field vector E of a uniform surface charge density of -5 nC/m2 at z-2 at the point P (1, 2, 0) in free space. (2 Marks) 3.
to find the electric field along a line bisecting a finite
length assuming that the charge distribution is
points) To find the electric field along aline bisecting a finite length assuming that the charge distribution the contributions the field is -A for -a <x<o and for o ex<a, we integrate to from all the charge in the wire. We assume that the wire lies along the x-axis a 2 /(z 5.635 10-8 C/m, a 0.22m, ask E(y 1.00m).
⑤. (a) Find cov(W,Z) for W and Z defined in Problem 1. e loint densitv of random variables 3r, if 0 <yKrK, (, elsewhere. Find cov(X, Y).
Let the random variable Z follow a standard normal distribution. Find P(-2.35 < Z< -0.65). Your Answer:
For a standard normal distribution, find: P(Z < c) = 0.2523 Find c.
A point charge of-7 μC is located at x = 3 m, y--2 m. A second point charge of 12 μC is located at x-1 m, y 2 m. (a) Find the magnitude and direction of the electric field at x =-1 m, y = 0. N/C o (counterclockwise from +x axis) < (b) Calculate the magnitude and direction of the force on an electron at x-1 m, y0. (counterclockwise from +x axis) eBook
Let X, Y E [0, 1] be distributed according to the joint distribution Íxy (z, y) 6xy2 . Let -XY-3 . Find P(Z < 1 /2)
a = 0.1 and B = 0.9. 21. A uniform distribution has parameters P(0.23 < X < 0.67) =
21.A uniform distribution has parameters a = 0.1 and B = 0.9. P(0.23 < X < 0.67) =
P6. A very long cylinder of radius a 5.00 cm has a uniform charge density 15.0 nC/em. Plot the electric field created by this cylinder as a function of r, the distance from the axis of the cylinder, for 0〈r< 15.0 cm.