# 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

**Q3: **

A nonconducting hard rubber circular disk of radius 20.0 cm
is painted with a uniform surface charge density 1.00 C/m^{2}.
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

**Q6: **

Use Ampereβs law to evaluate for the current configurations and paths shown in each of the following figures.

- A Tβ m
- B Tβ m
- C Tβ m
- D Tβ m
- E Tβ m

- A Tβ m
- 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

- A Tβ m
- B Tβ m
- C Tβ m
- D Tβ m
- E Tβ m