Electrostatics> In a spherical capacitor with plate radii...

In a spherical capacitor with plate radii a and b, the PD between them is V. The electric field between the platesnat a radial distance r from the centre is?

Mostafijur Rahaman , 11 Years ago

Grade 12

4 Answers

Arun Kumar

Last Activity: 11 Years ago

Hi Mostafijur,

Let the inner sphere has a charge +Q

outer sphere -Q

then

between the sphere we have

$\\E.4\pi r^2=Q/\epsilon_{0} \\=>E=Q/4\pi r^2\epsilon_{0} \\=>V=Q/4\pi \epsilon_{0}(1/a-1/b) \\=>E=V(1/a-1/b)/r^2$

Thanks & Regards

Arun Kumar

IIT Delhi

Askiitians Faculty

Approved

Yash Chourasiya

Last Activity: 5 Years ago

Hello Student

Let potential of the plate of radius a
Q = CV
V = Q/C
E = KQ/r²
V = KQ(b−a)/ab
Q = Vab/K(b−a)
E = (K/r²)(Vab/K(b−a)) = abV/r²(b−a)

I hope this answer will help you.

Mansi

Last Activity: 3 Years ago

As v= kq[1/a-1/b]kq=abv/b-a

Mansi

Last Activity: 3 Years ago

As v= kq[1/a-1/b]kq=abv/b-aE=kq/r^2=abv/r^2(b-a)Hope this answer helps you a lot !Thanks and RegardsMansi

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Electrostatics> In a spherical capacitor with plate radii...

In a spherical capacitor with plate radii a and b, the PD between them is V. The electric field between the platesnat a radial distance r from the centre is?

Mostafijur Rahaman , 11 Years ago

Arun Kumar

Yash Chourasiya

Mansi

Mansi

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