Phy Solve 1,2,3 and 4 or solve what you can Consider the electric field E = Kxi+

Question

Phy Solve 1,2,3 and 4

or solve what you can

Consider the electric field E = Kxi+Kyi + Kzk where K = GNC-1m-1. Suppose that a cube of side length 2 m surrounds the origin. Calculation the flux through the top face of this cube. Use your calculation of the flux and the symmetry of the electric flux and the cube. (HINT: remember that at the top face x and y run from -2 m to +2 m and z=2 m). use your calculation of the flux from 1 and the symmetry of the electric potential difference between the origin and the point (2 cm, 0 cm) is 5 V. What are the x and y components of the electric field? For the problem above, What is the potential difference between the origin and the point at (1 cm, 1 cm)? Two spherical conductors have been bought together and separated, resulting in a final charge of 7 muc on each of them. If 5 times 10 13 electrons flowed from one conductor to the other when they were bought together, what were the original charges of 2 the conductors before being brought together?

Explanation / Answer

1) at top face vector A = A k hat

so E dot A = K z A

A = 4^2

so flux = 6*2*4^2 = 192

for the second part of 1)

by symmetry all faces are the same so

net flux = 6*192 = 1152

2)

net flux = qenc/e0

q enc = 115*8.85E-12=1.018E-9 C

3) Ex = -dV/dx = - 3/0.02 = -150 v/m

Ey = - dV/dy = - 3/(-0.01) = 300 V/m

4) dV = -E*dr = (150,-300)*(0.01,0.01) = 1.5 -3 = -1.5 V

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