# Worksheet: Magnetic Field due to a Constant Current Loop

In this worksheet, we will practice using the Biot–Savart law to determine the magnitude of the magnetic field produced by a loop of current-carrying wire.

**Q3: **

Two flat circular coils, each with radius and wound with 30 turns, are mounted along the same axis so that they are parallel and 1.5 m apart. What is the magnitude of the magnetic field at the center of either coil at the common axis if a current flows in the same direction through each coil?

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**Q6: **

A charge of 8.0 µC is distributed uniformly around a thin ring of insulating material. The ring has a radius of 0.50 m and rotates at rpm around the axis that passes through its center and is perpendicular to the plane of the ring. What is the magnitude of the magnetic field at the center of the ring?

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- E T

**Q7: **

A thin, non-conducting ring of radius 50 cm is free to rotate around the axis that passes through its center. The ring is charged uniformly with a total charge of 10 µC. If the ring rotates at a constant angular velocity rpm, calculate the magnetic field at a point on its central axis that is a distance 30 cm above the ring.

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- E T

**Q11: **

A portion of a long cylindrical coaxial cable is shown in the figure. A current of 1,000 A flows down the central conductor and is returned in the outer conductor, where , , and .

Determine the magnitude of the magnetic field at .

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Determine the magnitude of the magnetic field at .

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Determine the magnitude of the magnetic field at .

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