The magnetic field inside a toroidal solenoid is not uniform as for a long, straight solenoid. Over the cross-sectional area of the toroid, the magnetic field is stronger near the inner radius of the torus and somewhat weaker near the outer radius, according to B(r) = mu0NI/2(pi)r. Use an approximate constant value for an equivalent, uniform magnetic field in a toroidal solenoid. Also, if the toroid has an inner radius of a and an outer radius of b, then the mean/average radius of the toroid rmean = (a + b)/2. a) Suppose a toroidal solenoid has a cross-sectional area of 6.25 cm2 and 500 turns of wire. If its self-inductance is 0.781 mH, calculate its approximate mean radius. b) If the current decreases from 5.84 A to 2.00 A in 3.00 ms, what is the induced voltage in this solenoid?
The magnetic field inside a toroidal solenoid is not uniform as for a long, straight solenoid. Over the cross-sectional area of the toroid, the magnetic field is stronger near the inner radius of the torus and somewhat weaker near the outer radius, according to B(r) = mu0NI/2(pi)r. Use an approximate constant value for an equivalent, uniform magnetic field in a toroidal solenoid. Also, if the toroid has an inner radius of a and an outer radius of b, then the mean/average radius of the toroid rmean = (a + b)/2.
a) Suppose a toroidal solenoid has a cross-sectional area of 6.25 cm2 and 500 turns of wire. If its self-inductance is 0.781 mH, calculate its approximate mean radius.
b) If the current decreases from 5.84 A to 2.00 A in 3.00 ms, what is the induced voltage in this solenoid?
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