# Worksheet: Using Ampere’s Law to Calculate the Magnetic Field of Currents

In this worksheet, we will practice using Ampere’s law to relate the current through a closed conducting path to the magnetic field produced by that current.

Q1:

The coil whose lengthwise cross section is shown in the accompanying figure carries a current and has evenly spaced turns distributed along the length .

Evaluate in terms of and for path .

• A0
• B
• C
• D
• E

Evaluate in terms of and for path .

Evaluate in terms of and for path .

• A0
• B
• C
• D
• E

Evaluate in terms of and for path .

• A0
• B
• C
• D
• E

Q2:

The following figure shows a rectangular current loop that carries a current .

Evaluate in terms of and for path .

• A
• B
• C
• D
• E0

Evaluate in terms of and for path .

Evaluate in terms of and for path .

• A
• B0
• C
• D
• E

Evaluate in terms of and for path .

Q3:

A nonconducting hard rubber circular disk of radius 20.0 cm is painted with a uniform surface charge density 1.00 C/m2. It is rotated about its axis with angular speed 400 rad/s. find the magenetic field produced at a point on the axis a distance 2.00 cm from the center of the disk.

• A T
• B T
• C T
• D T
• E T

Q4:

The figure shows a cross section of a long hollow cylindrical conductor of inner radius and outer radius . A 150 A current distributed uniformly over the cross section flows into the page. Consider the permeability of the conductor to be H/m.

Calculate the magnetic field at .

Calculate the magnetic field at .

• A T
• B T
• C T
• D T
• E T

Calculate the magnetic field at .

• A T
• B T
• C T
• D T
• E T

Q5:

A superconducting wire of diameter 50.0 cm carries a current of 2,000 A. What is the magnetic field just outside the wire?

• A T
• B T
• C T
• D T
• E T

Q6:

Use Ampereβs law to evaluate for the current configurations and paths shown in each of the following figures.

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• B Tβm
• C Tβm
• D Tβm
• E Tβm
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• B Tβm
• C Tβm
• D Tβm
• E Tβm
• A Tβm
• B Tβm
• C0 Tβm
• D Tβm
• E Tβm
• A Tβm
• B0 Tβm
• C Tβm
• D Tβm
• E Tβm
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• B Tβm
• C Tβm
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• E Tβm