A cube has sides of length l=0.2m. It is placed with one corner at the origin as shown in figure. The electric field is uniform and given by →E=(2.5^i−4.2^j)N/C. Find the electric flux through the entire cube.
A
Zero
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B
10N-m2/C
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C
15N-m2/C
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D
5N-m2/C
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Solution
The correct option is A Zero Given: l=0.2m; →E=(2.5^i−4.2^j)N/C
We know that, electric flux through any surface is given by, ϕ=→E.→A
For left surface (1) of cube, −→A1=(−0.04^j)m2[A=l2=0.22m2=0.04m2]
So, ϕ1=→E.−→A1=(2.5^i−4.2^j).(−0.04^j)=0.168N-m2/C