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

Q. 76

Expert-verified
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 765

Answers without the blur.

Just sign up for free and you're in.

Illustration

Short Answer

76. A thin metal cylinder of length and radius is coaxial with a thin metal cylinder of length and a larger radius . The space between the two coaxial cylinders is filled with a material that has resistivity . The two cylinders are connected to the terminals of a battery with potential difference , causing current to flow radially from the inner cylinder to the outer cylinder. Find an expression for the resistance of this device.

An expression for the resistance of this device is .

See the step by step solution

Step by Step Solution

Step 1: Given information

The two cylinders are connected to the terminals of a battery with potential difference , causing current to flow radially from the inner cylinder to the outer cylinder.

Step 2: Explanation

The metal cylinders are light and have an enormous cover area, and will ignore their resistance and only regard the inner material's resistance. To uncover the resistance, split the space between the cylinder into little shots of thickness . The differential resistance of one of these shells will be similar to

The point that is the surface area of this cylindrical shell that recreates the cross-section's function via which the current flows. Now the total resistance is only the integral of where integrate from to of these shells:

Step 3: Graphical Representation

An expression for the resistance of this device is .

Recommended explanations on Physics Textbooks

94% of StudySmarter users get better grades.

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