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QJEEM20Ph3d71: JEE Main 2020 Physics - Class 12 JEEM20Ph3d71 Solution: An electric field N/C passes through the box shown in figure.…

An electric field E→=4xi^−(y2+1)j^\overrightarrow E = 4x\widehat i - \left( {{y^2} + 1} \right)\widehat j N/C
passes through the box shown in figure. The
flux of the electric field through surfaces ABCD
and BCGF are marked as ϕI{\phi _I} and ϕII{\phi _{II}}
respectively. The difference between (ϕI−ϕII)\left( {{\phi _I} - {\phi _{II}}} \right) is (in Nm2/C) _______. JEE Main 2020 (Online) 9th January Evening Slot Physics - Electrostatics Question 157 English

Step-by-Step Verified Solution

Flux via ABCD

ϕ\phi I = ∫E→.dA→\int {\overrightarrow E } .d\overrightarrow A = 0

Flux via EFGH

ϕ\phi II = ∫E→.dA→\int {\overrightarrow E } .d\overrightarrow A

= [ 4xi^−(y2+1)j^4x\widehat i - \left( {{y^2} + 1} \right)\widehat j ].4 i^\widehat i

= 16x = 16 ×\times 3 = 48

ϕI−ϕII{\phi _I} - {\phi _{II}} = 0 - 48 = -48 Nm2/C

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