Log In Start studying!
Answers without the blur. Sign up and see all textbooks for free! Illustration

Q. 36

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 684

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

A hollow metal sphere has inner radiusand outer radius . The hollow sphere has charge. A point charge sits at the center of the hollow sphere.

a. Determine the electric fields in the three regions ,, and .

b. How much charge is on the inside surface of the hollow sphereOn the exterior surface

a.Three regions have electric fields,and .

b.There is electricity in the interior cavity isand the external surface is.

See the step by step solution

Step by Step Solution

Step 1: Calculation for electric field in (part a)

(a).

The electric flux is the quantity of electricity that flows through a closed surface.

Gauss's law states that the electric field passing through a surface is proportional to the charge within it.

The electric flux is,

For distance,the charge enclosed is.

Chargein the sphere is,

The area is,

.

So,

Step 2: Calculation of electric field inandpart(a) solution

(a).

For distance is inside the conductor.

Inside the conductor, there is no electric field.

For distance ,

The charge enclosed is and.

So,

The area is,

.

Step 3: Calculation for charge on the inner and outer surface of sphere (part b)

(b).

The cavity's positive charge causes a negative charge of the same magnitude on the cavity's inner surface.

As a result, the charge on the cavity's inner surface is the same magnitude as the charge within, but in the opposite direction.

Inner surface charge is,

The sphere has charge.

And the inner surface of the sphere has charge.

On the outside surface,

The total charge becomes,

Most popular questions for Physics Textbooks

Icon

Want to see more solutions like these?

Sign up for free to discover our expert answers
Get Started - It’s free

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

Sign up for free
94% of StudySmarter users get better grades.