An ideal toroidal solenoid (Figure 1) has inner radius r_1 = 15.5 cm and outer r

Question

An ideal toroidal solenoid (Figure 1) has inner radius r_1 = 15.5 cm and outer radius r_2 = 18.3 cm .The solenoid has 230 turns and carries a current of 8.80 A. What is the magnitude of the magnetic field at 12.6 cm from the center of the torus? Express your answer to three significant figures and include the appropriate units. What is the magnitude of the magnetic field at 16.3 cm from the center of the torus? Express your answer to three significant figures and include the appropriate units. What is the magnitude of the magnetic field at 20.3 cm from the center of the torus? Express your answer to three significant figures and include the appropriate units. B.

Explanation / Answer

Part A and Part C are both 0. For part A, 11.5 cm is still inside the toroidal solenoid,

so B is zero. For part C, 20.7 cm is outside of the toroidal solenoid, so B 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 (230)

I is the current also given in the problem (8.80)

r for part b is simply 0.163 m.

: B = (mu_0*N*I)/(2*pi*r)

= (4*pi*10^-7 *230*8.80)/(2*pi*0.163)

B = 2.4834*10^-3Tesla

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