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If E= 6hat(i) + 3hat(j) + 4hat(k), then ...

If `E= 6hat(i) + 3hat(j) + 4hat(k)`, then calculate the electric flux through a surface of area 20 units in YZ-plane.

Text Solution

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As, the area vector S in the YZ-plane points along outward drawn normal. So, the direction of S is along positive X-axis.
`therefore E= 20 hat(i)`
Now, `phi_(E )= E.S = (6hat(i) + 3hat(j) + 4hat(k)).20hat(i)`
`therefore phi_(E )= 120` units ...(1)
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