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The Self Potential Energy of Continuous Charge Distributions

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ntA thick shell with inner radius R and outer radius 3R has a uniform charge density sigma c/cm2 . I has a spherical cavity of radius R . The electric field at the center of cavityn ntn

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Q. A thick shell with inner radius

R

and outer radius

3 R

has a uniform charge density

c / m^{3}

.It has a spherical cavity of radius

R

as shown in the figure. The electric field at the center of the cavity is:-

Q. A thick shell with inner radius

R

and outer radius

3 R

has a uniform charge density

σ c / m^{3}

. It has a spherical cavity of radius

R

as shown in the figure. the electric field at the centre of the cavity is

Q. A thick shell with inner radius

R

and outer radius

3 R

has uniform charge density

ρ

c / m^{3}

. It has a spherical cavity of radius

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as shown in the figure. The electric field at the centre of the cavity is

\frac{ρ R}{x ϵ_{0}}

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Q. A spherical conducting shell of inner radius

r_{1}

and outer radius

r_{2}

has a charge Q.

(a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

(b) Is the electric field inside a cavity (with no charge) zero, even if the shell is not spherical, but has any irregular shape? Explain.

Q. A metallic spherical shell has an inner radius

R_{1}

and outer radius

R_{2}

Q

is placed at the centre of the spherical cavity. What will be surface charge density on (i) the inner surface, and (ii) the outer surface?

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