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JEE Main 20249 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Evening Shift
Subject
Physics
Chapter
Electrostatics

JEE Main 2024 · 9 April · Evening Shift · Physics · Electrostatics

An electric field E =(2 x i ) N C^ -1 exists in space. A cube of...

An electric field E⃗=(2xi^)NC−1\vec{E}=(2 x \hat{i}) N C^{-1} exists in space. A cube of side 2 m2 \mathrm{~m} is placed in the space as per figure given below. The electric flux through the cube is ______ Nm2/C\mathrm{Nm}^2 / \mathrm{C}. An electric field E =(2 x i ) N C^ -1 exists in space. A cube of side 2 ~m is placed in the space as per figure given

Correct answer

0

Step-by-step solution

E→=2xi^ϕ=E→⋅A→\begin{aligned} & \overrightarrow{\mathrm{E}}=2 x \hat{\mathrm{i}} \\ & \phi=\overrightarrow{\mathrm{E}} \cdot \overrightarrow{\mathrm{A}}\end{aligned}ϕin =−4×4=−16Nm2/cϕout =8×4=32Nm2/cdnet =ϕin +ϕout =−16+32=16Nm2/c\begin{aligned} & \phi_{\text{in }}=-4 \times 4=-16 \mathrm{Nm}^2 / \mathrm{c} \\ & \phi_{\text{out }}=8 \times 4=32 \mathrm{Nm}^2 / \mathrm{c} \\ & d_{\text{net }}=\phi_{\text{in }+} \phi_{\text{out }}=-16+32=16 \mathrm{Nm}^2 / \mathrm{c}\end{aligned}$
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