A toroidal solenoid has a radius of 10.0 cm and a cross-sectional area of 0.500cm2 a) How many turns does the solenoid have if its inductance is 0.100 mH? b) What is the resistance of the solenoid if the wire being wound has a resistance per unit length of 0.0860 Q/ m? Now a current of 70 A is passed through the solenoid. Calculate: c) the magnetic field of the solenoid. d) the energy density of the magnetic field if the solenoid is filled with air. e) the total energy contained in the magnetic field of the coil (assume that the field is uniform)

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Chapter14: Inductance
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Problem 34P: A solenoid of N1turns has length l1and radius R1, and a second smaller solenoid of N2turns has...
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NOTE consider the cross-sectional area of the toroid to be circular.

A toroidal solenoid has a radius of 10.0 cm and a cross-sectional area of
0.500cm2
a) How many turns does the solenoid have if its inductance is 0.100 mH?
b) What is the resistance of the solenoid if the wire being wound has a resistance
per unit length of 0.0860 Q/ m?
Now a current of 70 A is passed through the solenoid.
Calculate:
c) the magnetic field of the solenoid.
d) the energy density of the magnetic field if the solenoid is filled with air.
e) the total energy contained in the magnetic field of the coil (assume that the
field is uniform)
Transcribed Image Text:A toroidal solenoid has a radius of 10.0 cm and a cross-sectional area of 0.500cm2 a) How many turns does the solenoid have if its inductance is 0.100 mH? b) What is the resistance of the solenoid if the wire being wound has a resistance per unit length of 0.0860 Q/ m? Now a current of 70 A is passed through the solenoid. Calculate: c) the magnetic field of the solenoid. d) the energy density of the magnetic field if the solenoid is filled with air. e) the total energy contained in the magnetic field of the coil (assume that the field is uniform)
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