In a region of space- the electric field is given by E - 8 - - 4 - - 3k- The electric flux through a surface of area of 100 units in x-y plane is

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Question

In a region of space, the electric field is given by $\to E = 8^i + 4^j + 3^k$ . The electric flux through a surface of area of $100 units$ in $x - y$ plane is

800 units

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300 units

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400 units

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1500 units

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Solution

The correct option is B $300 units$
Given,
Electric field vector, $\to E = 8^i + 4^j + 3^k$

As , the plane surface is parallel to $x-y$ plane, so the area vector $\to A$ points along the positive direction of $z-$ axis.
So, area vector, $\to A = 100^k$

Electric flux through the surface,
$ϕ = \to E . \to A$

$\Rightarrow ϕ = (8^i + 4^j + 3^k) . (100^k)$

$∴ ϕ = 300 units$

Hence, option (b) is the correct answer.

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In a region of space, the electric field is given by →E=8^i+4^j+3^k. The electric flux through a surface of area of 100 units in x−y plane is

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