Question

Consider two infinitely long, concentric cylinders, with their axes along the z-axis. The inner solid cylinder has radius a = 0.08 m and carries a current I_a=4.5 A directed out of the page. This current is uniformly distributed throughout the cylinder. The outer (hollow) cylinder has radius b = 0.16 m, and carries current I_b = 7.5 A into the page as shown in the figure.

1)

What is the magnitude of the magnetic field at point A (y=0.04 m) due to the current in the two cylinders?

|B_A| = 5.62 × 10^-6 T

|B_A| = 1.12 × 10^-5 T

|B_A| = 2.25 × 10^-5 T

|B_A| = 3.19 × 10^-5 T

|B_A| = 1.5 × 10^-5 T

2)

What is the direction of the magnetic field at point A (y=0.04 m) due to the current in the two cylinders?

-x

+y

-y

3)

What is the magnitude of the magnetic field at point C (y=0.24 m) due to the current in the two cylinders?

|B_C| = 2.5 × 10^-6 T

|B_C| = 10^-5 T

|B_C| = 1.87 × 10^-6 T

Answer 1

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