A ring of radius 8.0 cm is placed concentrically around a ring of radius 6.0 cm (see figure  below). Each ring carries a current of 4.0 A. (a) What is the magnitude of the magnetic field at the center of the rings if the two currents flow in the  same direction? (b) Find the magnitude of the magnetic field if the currents flow in opposite directions? (c) If the outer ring current is counterclockwise and the inner

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A ring of radius 8.0 cm is placed concentrically around a ring of radius 6.0 cm (see figure 
below). Each ring carries a current of 4.0 A.
(a) What is the magnitude of the magnetic field at the center of the rings if the two currents flow in the 
same direction?
(b) Find the magnitude of the magnetic field if the currents flow in opposite directions?
(c) If the outer ring current is counterclockwise and the inner ring current is clockwise what is the 
direction of the net magnetic field

**Problem 1.** A ring of radius 8.0 cm is placed concentrically around a ring of radius 6.0 cm (see figure below). Each ring carries a current of 4.0 A.

(a) What is the magnitude of the magnetic field at the center of the rings if the two currents flow in the same direction?

(b) Find the magnitude of the magnetic field if the currents flow in opposite directions?

(c) If the outer ring current is counterclockwise and the inner ring current is clockwise, what is the direction of the net magnetic field?

**Diagram Explanation:**

The diagram shows two concentric rings. The outer ring has a radius of 8.0 cm, and the inner ring has a radius of 6.0 cm. Both rings carry a current of 4.0 A. An arrow labeled "B" points upwards, indicating the direction of the magnetic field at the center of the rings.
Transcribed Image Text:**Problem 1.** A ring of radius 8.0 cm is placed concentrically around a ring of radius 6.0 cm (see figure below). Each ring carries a current of 4.0 A. (a) What is the magnitude of the magnetic field at the center of the rings if the two currents flow in the same direction? (b) Find the magnitude of the magnetic field if the currents flow in opposite directions? (c) If the outer ring current is counterclockwise and the inner ring current is clockwise, what is the direction of the net magnetic field? **Diagram Explanation:** The diagram shows two concentric rings. The outer ring has a radius of 8.0 cm, and the inner ring has a radius of 6.0 cm. Both rings carry a current of 4.0 A. An arrow labeled "B" points upwards, indicating the direction of the magnetic field at the center of the rings.
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