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Problem 1

Find the magnetic field at \(0.250 \mathrm{~m}\) from a long wire carrying a current of \(15.0 \mathrm{~A}\).

Problem 2

Find the magnetic field at \(0.500 \mathrm{~m}\) from a long wire carrying a current of \(7.50 \mathrm{~A}\).

Problem 5

Find the magnetic field at \(0.350 \mathrm{~m}\) from a long wire carrying a current of \(3.00 \mathrm{~A}\).

Problem 7

A solenoid has \(100 \overline{0}\) turns of wire, is \(0.320 \mathrm{~m}\) long, and carries a current of \(5.00 \mathrm{~A}\). What is the magnetic field at the center of the solenoid? Assume that its length is long in comparison with its diameter.

Problem 8

A solenoid has 3000 turns of wire and is \(0.350 \mathrm{~m}\) long. What current is required to produce a magnetic field of \(0.100 \mathrm{~T}\) at the center of the solenoid? Assume that its length is long in comparison with its diameter.

Problem 9

A small solenoid is \(0.150 \mathrm{~m}\) in length and \(0.0150 \mathrm{~m}\) in diameter, and has \(60 \overline{0}\) turns of wire. What current is required to produce a magnetic field of \(1.25 \times 10^{-3} \mathrm{~T}\) at the center of the solenoid?

Problem 10

A solenoid has \(25 \overline{0} 0\) turns of wire and is \(0.200 \mathrm{~m}\) long. What current is required to produce a magnetic field of \(0.100 \mathrm{~T}\) at the center of the solenoid? Assume that its length is long in comparison with its diameter.

Problem 11

A long solenoid has 1000 turns and is \(0.250 \mathrm{~m}\) long. If the wire carries a current of \(2.50 \mathrm{~A}\), what is the strength of the magnetic field at its center?

Problem 12

A small solenoid \(0.100 \mathrm{~m}\) in length has 1000 turns of wire. What current is required to produce a magnetic field of \(1.30 \times 10^{-3} \mathrm{~T}\) at the center of the solenoid?

Problem 14

An earthmover requires a solenoid with \(25 \overline{0} 0\) turns and whose length is \(0.150 \mathrm{~m}\). What current is required to produce a magnetic field of \(0.100 \mathrm{~T}\) at the center of the solenoid?

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