What is the magnitude of the magnetic field at 12.3 cm from the center of the to

Question

What is the magnitude of the magnetic field at 12.3 cm from the center of the torus? Express your answer to three significant figures and include the appropriate units onstants An ideal toroidal solenoid (Figure 1) has inner radius r1 15.0 cm and outer radius T218.0 cm. The solenoid has 250 turns and carries a current of 8.20A B-Value Units Submit Request Answer Part B What is the magnitude of the magnetic field at 16.5 cm from the center of the torus? Express your answer to three significant figures and include the appropriate units Figure 1 of 1 B-Value Units Submit Request Answer Part C Path I What is the magnitude of the magnetic field at 21.4 cm from the center of the torus? Express your answer to three significant figures and include the appropriate units Path 2 Path 3 HA

Explanation / Answer

Part A and Part C are both 0. For part A, 12.3 cm is still inside the toroidal solenoid, so B is zero. For part C, 21.4 cm is outside of the toroidal solenoid, so B(field) is zero.

For Part B, use the formula: B = (mu_0*N*I)/(2*pi*r)

mu_0 is a known constant which is 4*pi*10^-7

N, the number of turns, is given in the problem (250)

I is the current also given in the problem (8.20)

r for part b is simply 0.165 m.

Just plug these numbers into the formula, and you should have your answer.

We get:

B = 2.48 x 10-3 T

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