In a region of space, the electric field is given by <math> <mover accent="true"> <mrow> <mrow> <mi>E</mi> </mrow> </mrow> <mo>⃗</mo> </mover> <mo>=</mo> <mn>6</mn> <mover accent="true"> <mrow> <mrow> <mi>i</mi> </mrow> </mrow> <mo>̂</mo> </mover> <mo>-</mo> <mn>4</mn> <mover accent="true"> <mrow> <mrow> <mi>j</mi> </mrow> </mrow> <mo>̂</mo> </mover> <mo>+</mo> <mn>7</mn> <mover accent="true"> <mrow> <mrow> <mi>k</mi> </mrow> </mrow> <mo>̂</mo> </mover> </math> . Electric flux through a surface of area <math> <mn>200</mn> </math> unit in <math> <mi>y</mi> <mo>-</mo> <mi>z</mi> </math> plane will be

Flux through a surface ? = E ? . A ? ? = 6 i ? - 4 j ? + 7 k ? . 200 i ? = 1200 u n i t

Ask & Answer Question

In a region of space, the electric field is given by $\vec{E} = 6 \hat{i} - 4 \hat{j} + 7 \hat{k}$ . Electric flux through a surface of area $200$ unit in $y - z$ plane will be

Option 1 -

$1200 u n i t$

Option 2 -

$600 u n i t$

Option 3 -

$200 u n i t$

Option 4 -

$800 u n i t$

4 Views | Posted 2 weeks ago

Answered by

alok kumar singh | Contributor-Level 10

2 weeks ago

Correct Option - 1

Detailed Solution:

Flux through a surface $? = \overset{?}{E} . \overset{?}{A}$

$? = (6 \overset{?}{i} - 4 \overset{?}{j} + 7 \overset{?}{k}) . 200 \overset{?}{i}$

$= 1200 u n i t$

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