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# ch23_p59 - y = 2.00 m has the same area A(and this one...

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5 9. None of the constant terms will result in a nonzero contribution to the flux (see Eq. 23-4 and Eq. 23-7), so we focus on the x dependent term only: E non-constant = ( 4.00 y 2 ) i ^ (in SI units) . The face of the cube located at y = 4.00 has area A = 4.00 m 2 (and it “faces” the + j ^ direction) and has a “contribution” to the flux equal to E non-constant A = ( 4)(4 2 )(4) = –256 (in SI units). The face of the cube located at
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Unformatted text preview: y = 2.00 m has the same area A (and this one “faces” the –j ^ direction) and a contribution to the flux: − E non-constant A = − ( − 4)(2 2 )(4) = 64 (in SI units). Thus, the net flux is Φ = − 256 + 64 = − 192 N·m/C 2 . According to Gauss’s law, we therefore have q enc = ε ο Φ = − 1.70 × 10 − 9 C ....
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