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The electric field components in the fig...

The electric field components in the figure below are `E_(x) = 800 x^(2) N //C ,E_(y)= E_(z) = 0`.
Calculate
(1) The flux throught he cube and
(2) The charge withing the cube
Assume that a =0.1 m

Text Solution

Verified by Experts

(a) Except ABCD surface flux through other surfaces is zero
`phi_("cube")=phi_("ABCD")`
`=800a^(2)hati.a^(2)hati`
`=800a^(4)`
`=800xx(0.1)^(4)`
`=8xx10^(2)xx10^(-4)`
`=8xx10^(-2)"Nm"^(2)//C`

(b) Charge `Q=phi epsilon_(0)=8xx10^(-2)xx8.854xx10^(-12)` C
`=7.08xx10^(-13)C`
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