Magnetic Field Produced by Loops and Solenoids Video Lessons

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# Problem: The wire carries current I2, which is 20 times the current I1 of the loop; the direction of the current in the wire is shown. The magnetic field in the center of the loop is zero. The radius R of the loop is 1.5 cm.A.) What is the direction of the current in the loop?B.) What is the distance d from the wire to the center of the loop?

###### FREE Expert Solution

In this problem, we have a combination of the magnetic field due to straight currents and loops.

Magnetic field around a wire carrying current:

$\overline{){\mathbf{B}}{\mathbf{=}}\frac{{\mathbf{\mu }}_{\mathbf{0}}\mathbf{i}}{\mathbf{2}\mathbf{\pi }\mathbf{r}}}$ r is the distance from the wire to a point perpendicular to the wire.

The magnetic field produced by a current loop:

$\overline{){\mathbf{B}}{\mathbf{=}}{\mathbf{N}}\frac{{\mathbf{\mu }}_{\mathbf{0}}\mathbf{i}}{\mathbf{2}\mathbf{r}}}$ r is the radius of the loop

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###### Problem Details

The wire carries current I2, which is 20 times the current I1 of the loop; the direction of the current in the wire is shown. The magnetic field in the center of the loop is zero. The radius R of the loop is 1.5 cm.

A.) What is the direction of the current in the loop?

B.) What is the distance d from the wire to the center of the loop?

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Magnetic Field Produced by Loops and Solenoids concept. You can view video lessons to learn Magnetic Field Produced by Loops and Solenoids. Or if you need more Magnetic Field Produced by Loops and Solenoids practice, you can also practice Magnetic Field Produced by Loops and Solenoids practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Seidler's class at UW-SEATTLE.