1) (a) Determine the flux of an electric field of E=(-24x-16y+39z)N/C through a

Question

1)

(a) Determine the flux of an electric field of

E=(-24x-16y+39z)N/C through a plane surface represented by the normal vector .

A=(-1.6x+6.2y+4.1z)m^2

(b) What is the angle between A and E?

2)

During fair weather, an electric field of about 100 N/C points vertically downward into the earth's atmosphere. Assuming that this field arises from charge distributed in a spherically symmetric manner over the surface of the earth, determine the net charge of the earth and its atmosphere if the radius of the earth and its atmosphere is 6.37x106 m.

Explanation / Answer

Flux = E.A = 24*1.6 - 16*6.2 + 39*4.1 = 99.1 units

cos(phi) = 99.1/(48.50)(7.60) = 0.26

phi = cosinv(0.26)

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