A) \[q/{{\varepsilon }_{0}}\]
B) \[q/2{{\varepsilon }_{0}}\]
C) \[q/4{{\varepsilon }_{0}}\]
D) zero
Correct Answer: C
Solution :
[c] \[\alpha =60{}^\circ ,\] Solid angle subtended by BCD is \[\omega =2\pi \left( 1\cos \alpha \right)=\pi \] Solid angle subtended ABDE is \[{{\omega }_{\left( ABCDE \right)}}-{{\omega }_{\left( BCD \right)}}=2\pi -\pi =\pi \] Hence, flux trough ABDE is \[\phi =\frac{q}{{{\varepsilon }_{0}}}\frac{\pi }{4\pi }=\frac{q}{4{{\varepsilon }_{0}}}\]
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