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Questions  

A point charge +Q is placed just outside an imaginary hemispherical surface of radius R as shown in the figure. Which of the following statements is/are correct?

a
The electric flux passing through the curved surface of the hemisphere is  −Q2ε01−12
b
The component of the electric field normal to the flat surface is constant over the surface
c
Total flux through the curved and the flat surface is Qε0
d
The circumference of the flat surface is an equipotential

detailed solution

Correct option is A

A) Flux passing through curved surface + Flux passing through flat surface = 0  ϕ=−Q4πε02π1−cosθ Put θ=45° =−Q2∈01−12       B) at x&r is variable: E E⊥=Esinα =kQr2Rr =KQRr3E⊥ is not constant over the surfaceC) Total flux through the curved and the flat surface is zero, because enclosed charge is zero.D)  V=kQr=kQR2 . Circumference is equidistance from charge Q. Therefore it will be equipotential surface

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A cube of edge L = 10 cm is placed in uniform electric field E =5000 N/C as shown in Fig. (a), if the cube is rotated by angle θ=37 with vertical as shown in Fig. (b). Calculate the flux of electric field (in N - m2 / C) entering the cube.


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