Gauss Law(please solve)

1.A point charge is placed at the origin.Calculate electric flux through the open hemispherical surface:......
{x-a}2+y2+z2=a2;x≥a
Ans.q/2ε0*{1-1/√2)

2.A point charge is located on the axis of a disc of radius R at a distance b from the plane of the disc .Show that if one fourth of flux pass through the disc then ,R=b.

10 Answers

1
nikunj ·

http://targetiit.com/iit-jee-forum/posts/gauss-s-law-11256.html

49
Subhomoy Bakshi ·

we can use the concpt that the net flux= 0

so the flux through the base part of hemisphere=flux through the spherical part

is this not? verify...

49
Subhomoy Bakshi ·

oops...din see nikunj's post...shall i delete the post #3?

1
ajoy abcd ·

*edited*
Can't we solve question 1 without solid angle stuff...?

11
Tush Watts ·

Ans 2) I am getting R = √3 b LOL [89]

Angle subtended by disc at Q =W = 2 Π(1 - cos α)

W = 2 Î [1 - bb2 +R2 ]

Flux thru the disc = Q W4Πε

Since one fourth of flux pass through the disc,
therefore, Q W4Πε = Q 4 ε

Thus, R = √3 b

1
ajoy abcd ·

Second one has remained unsolved for ages ....

1
xYz ·

tushar is right

1
ajoy abcd ·

we have to prove r=b,thats wat given in question.

39
Pritish Chakraborty ·

So the question can't be wrong you say?

1
ajoy abcd ·

Well its a question is from Arihant,,... (pg 170 ,vol4)
then confirm in the words "question is wrong"

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