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Question

Physics Question on Electric charges and fields

Electric flux emanating through a surface element ds=5i^\overrightarrow{ds}=5\hat{i} placed in an electric field E=4i^+4j^+4k^\vec{E}=4\hat{i}+4\hat{j}+4\hat{k} is

A

10 10 units

B

20 20 units

C

4 4 units

D

16 16 units

Answer

20 20 units

Explanation

Solution

Electric flux
ϕ=Eds\phi=\vec{E} \cdot \overrightarrow{d s}
ϕ=(4i^+4j^+4k^)(5i^)\therefore \phi=(4 \hat{i}+4 \hat{j}+4 \hat{k})(5 \hat{i})
=20=20 units