Gauss' s Law

A point charge q is placed at origin. Calculate the electric flux through the open hemispherical surface : (x-a) 2 + y2 +z 2 = a 2 ,
x ≥ a.

9 Answers

62
Lokesh Verma ·

You will need the concept of solid angle...

I am not sure if you would want to use that for jee!!

24
eureka123 ·

yups u have to use solid angle...and i believe taht its a concept u shouldnt miss for JEE

The solid angel here is ω
which is given by 2π(1-cosθ)
here θ=π/4

so ω=2Ï€(1- 1/√2)

Now flux through this section of solid angle ω will be \frac{\omega }{4\pi}\frac{q}{\varepsilon _o}=\frac{2\pi(1- 1/\sqrt{2})}{4\pi}\frac{q}{\varepsilon _o}=\frac{q}{2\varepsilon _o}(1-\frac{1}{\sqrt{2}})

1
karan verma ·

isnt the ans zero....

24
eureka123 ·

no

1
karan verma ·

the base of the hemisphere will be the x-y plane,
and all the flusk entering the sphere will leave from the other side....
hence the net flusk will be zero...

i dont know weather this is right... but well lesee.

1
RAY ·

karan u r going wrong in ur concept sumwhere.eurekas got it right...u will ahve to use solid angle..:)

1
RAY ·

had been a closed sphere then net flux is zero.....

62
Lokesh Verma ·

This is the situation here...

66
kaymant ·

The solid angle is not necessary though. You could simply calculate the flux through the flat base of the hemisphere.

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