Question

In: Physics

A solid sphere of radius a is uniformly charged with a total charge Q > 0....

A solid sphere of radius a is uniformly charged with a total charge Q > 0.

a. Use Gauss’s law to determine the electric ﬁeld everywhere.

b. Where is the magnitude of the electric ﬁeld the largest?

c. What is its value there?

d. Find two distances from the centre of the sphere where the electric ﬁeld has half of its maximum value.

Solutions

Expert Solution

part a).

At r < a: Gauss's law says that

Since E is directed along the radial direction and uniform so we can take E out of the integral

where rho is the volume charge density.

At r > a: Again using gauss's law

part b).

At the surface, the magnitude is the largest.

part c).

Value at the surface is

part d)

given the condition, we have for r > a

For r < a, we have

genius_generous answered 1 year ago

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