Question
Asked Dec 8, 2019
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Use Gauss's Law to find the charge enclosed by the cube with vertices (±4, ±4, ±4) if the electric field is 

E(x, y, z) = x i + y j + z k.
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Expert Answer

Step 1

Given:

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E(x.,y,z)= xi + y} + zk

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Step 2

Formula Used:

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The net charge enclosed by a closed surface S is given by Q= 6, [[ E.ds Divergence Theorem: ſE.ds = [[[EaV

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Step 3

The Charge is giv...

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SſE.dS = [[[(V.E)dv ljEdS = [| = [[[(a +1+1)dV j+E(xi+ »j + zk }aV = 3[[[av dV = 3(8) = 1536

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Tagged in

Math

Calculus

Integration