Suppose that following the CME it is found that at an altitude of 2500 m the ele

Question

Suppose that following the CME it is found that at an altitude of 2500 m the electric field has magnitude 1100 N/C and at an altitude of 1500 m the magnitude is 3700 N/C. In both cases the direction of the electric field is vertically toward the eart,s surface. find the net amount of charge (also indicate the sign of the charge) contained i a cube with horizontal faces at altitude of 2500 and 1500 m. Assume that the surface of the earth is flat and horizontal. 3.34 Times 10^(-2)C -5.76 Times 10^(-2)C 7.69 Times 10^(-3)pC 7.47 Times 10^(-3)pC -5.19 Times 10^(3)pC

Explanation / Answer

length of the cube l = 2500-1500 = 1000m

electric flux = A*(E2-E1) = 1000^2*(3700-1100) = 2600000000 Nm^2/C

from gauss law

flux = Qin/eo

Qin = 2600000000*8.85*10^-12

Qin = +2.3*10^-2 C

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