A 62.5 m length of insulated copper wire is wound to form a solenoid of radius...
A 62.5 m length of insulated copper wire is wound to form a solenoid of radius 2.3 cm. The copper wire has a radius of 0.51mm. (Assume the resistivity of copper is ρ = 1.7 ✕ 10−8 Ω · m.)
(a) What is the resistance of the wire?
Ω
(b) Treating each turn of the solenoid as a circle, how many turns
can be made with the wire?
turns
(c) How long is the resulting solenoid?
m
(d) What is the self-inductance of the solenoid?
mH
(e) If the solenoid is attached to a battery with an emf of 6.0 V
and internal resistance of 350 mΩ, compute the time constant of the
circuit.
ms
(f) What is the maximum current attained?
A
(g) How long would it take to reach 99.9% of its maximum
current?
ms
(h) What maximum energy is stored in the inductor?
mJ
Homework Answers
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A 62.5 m length of insulated copper wire is wound to form a
solenoid of radius...
A 62.5 m length of insulated copper wire is wound to form a solenoid of radius 2.3 cm. The copper wire has a radius of 0.51mm. (Assume the resistivity of copper is ρ = 1.7 ✕ 10−8 Ω · m.) (a) What is t...
A 62.5 m length of insulated copper wire is wound to form a solenoid of radius 2.3 cm. The copper wire has a radius of 0.51mm. (Assume the resistivity of copper is ρ = 1.7 ✕ 10−8 Ω · m.) (a) What is the resistance of the wire? Ω (b) Treating each turn of the solenoid as a circle, how many turns can be made with the wire? turns (c) How long is the resulting solenoid? m (d) What is...
A 57.0 m length of insulated copper wire is wound to form a solenoid of radius...
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A solenoid is wound with a single layer of insulated copper wire of diameter 3.000 mm...
A solenoid is wound with a single layer of insulated copper wire
of diameter 3.000 mm and has a diameter of 3.000
cm and is 1.800 m long. Assume that adjacent
wires touch and that insulation thickness is negligible.
1. How many turns are on the solenoid?
2. What is the inductance per meter (H/m) for the solenoid near
its center?
R
For a physics lab assignment, a student needs to create a solenoid using copper wire with...
For a physics lab assignment, a student needs to create a solenoid using copper wire with diameter d = 0.500 mm. The resistance of the solenoid needs to be 3.10 Ω and the magnetic field of the solenoid with a current of 2.50 A should be 5.10 ✕ 10−2 T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use ρ = 1.70 ✕ 10−8 Ω · m for the resistivity...
A solenoid 10 cm in diameter and 630 cm long is made from copper wire of...
A solenoid 10 cm in diameter and 630 cm long is made from copper wire of diameter 0.050 cm, with very thin insulation. The wire is wound onto a cardboard tube to make a solenoid. (a) Determine the resistance in the wire. You may take the resistivity of copper to be 1.68 times 10^-8 Ohm m. (b) The number of turns in the wire is ten. Find the current necessary to produce a magnetic field of strength 1.5T. (c) How...
Suppose insulated wire of length 7.20 m is coiled into a 0.0145-m radius solenoid of length...
Suppose insulated wire of length 7.20 m is coiled into a 0.0145-m radius solenoid of length 0.0605 m. Determine the following if the current is changing at a rate of 5.55 ✕ 102 A/s. a) number of loops b) inductance of solenoid c) magnitude of the induced emf
A solenoid 10.0 cm in diameter and 82.7 cm long is made from copper wire of...
A solenoid 10.0 cm in diameter and 82.7 cm long is made from copper wire of diameter 0.100 cm, with very thin insulation. The wire is wound onto a cardboard tube in a single layer, with adjacent turns touching each other. What power must be delivered to the solenoid if it is to produce a field of 8.35 mT at its center? (Assume the resistivity of the copper wire is 1.70 ✕ 10−8 Ω · m.)
A solenoid 10.0 cm in diameter and 72.8 cm long is made from copper wire of...
A solenoid 10.0 cm in diameter and 72.8 cm long is made from copper wire of diameter 0.100 cm, with very thin insulation. The wire is wound onto a cardboard tube in a single layer, with adjacent turns touching each other. What power must be delivered to the solenoid if it is to produce a field of 9.45 mT at its center? (Assume the resistivity of the copper wire is 1.70 ✕ 10−8 Ω · m.)
A solenoid 10.0 cm in diameter and 83.3 cm long is made from copper wire of...
A solenoid 10.0 cm in diameter and 83.3 cm long is made from copper wire of diameter 0.100 cm, with very thin insulation. The wire is wound onto a cardboard tube in a single layer, with adjacent turns touching each other. What power must be delivered to the solenoid if it is to produce a field of 9.15 mT at its center? (Assume the resistivity of the copper wire is 1.70 ✕ 10−8 Ω · m.) ___________ W
For a technical application, an electrical engineer needs to create a solenoid using copper wire with...
For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d 0.500 mm. The resistance of the solenoid needs to be 3.500 and the magnetic field of the solenoid with a current of 2.50 A should be 6.50 x 10-T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p - 1.70 x 10-40-m for the resistivity of copper.) (a) How many turns...
A solenoid is wound with a single layer of insulated copper wire
of diameter 3.000 mm and has a diameter of 3.000
cm and is 1.800 m long. Assume that adjacent
wires touch and that insulation thickness is negligible.
1. How many turns are on the solenoid?
2. What is the inductance per meter (H/m) for the solenoid near
its center?
R
A solenoid 10 cm in diameter and 630 cm long is made from copper wire of diameter 0.050 cm, with very thin insulation. The wire is wound onto a cardboard tube to make a solenoid. (a) Determine the resistance in the wire. You may take the resistivity of copper to be 1.68 times 10^-8 Ohm m. (b) The number of turns in the wire is ten. Find the current necessary to produce a magnetic field of strength 1.5T. (c) How...
For a technical application, an electrical engineer needs to create a solenoid using copper wire with diameter d 0.500 mm. The resistance of the solenoid needs to be 3.500 and the magnetic field of the solenoid with a current of 2.50 A should be 6.50 x 10-T. Assume the resistance does not change significantly with temperature, and the radius of the solenoid is 1.00 cm. (Use p - 1.70 x 10-40-m for the resistivity of copper.) (a) How many turns...
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