A spherical capacitor (centered on the origin) is initially uncharged. It is con

Question

A spherical capacitor (centered on the origin) is initially uncharged. It is connected to a battery (right) which pulls charge from one conductor to the other, such that a total charge q flows onto the inner surface. What is the surface charge density, sigma_b, on the inner sphere? What is the electric field in the space between the two conductors? What is the potential in that region? What is the potential difference between the two conductors? What is the capacitance? What is the electric field outside the capacitor?

Explanation / Answer

here,

the charge on the plates is q

a.

the surface charge density , sigma = q/4*pi*a^2

b.

the electric feild between the two conductor , E = q/( 4 * pi*e0* r^2)

r is the distance of the point from the centre

c.

the potential in that region , V = Q/4*pi*e0 * ( 1/r - 1/b)

r is the distance of the point from the centre

d.

potential difference in between the conductors ,delta V = Q/4*pi*e0 * ( 1/a - 1/b)

e.

the capacitance , C = Q/V

C = 4*pi*e0 /( 1/a - 1/b)

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