Questions
Question 1
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State the magnetic dipole moment magnitude for an \(N\)-turn current loop.
Question 2
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State the torque magnitude on a current loop in a uniform magnetic field.
Question 3
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What is the direction of a current loop's magnetic moment?
Question 4
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A \(20\)-turn coil has area \(3.0\times10^{-3}\,\mathrm{m^2}\) and current \(0.50\,\mathrm{A}\). Find \(\mu\).
Question 5
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A coil has \(N=50\), \(I=0.40\,\mathrm{A}\), \(A=2.0\times10^{-3}\,\mathrm{m^2}\), and \(B=0.30\,\mathrm{T}\). Find maximum torque.
Question 6
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When is the torque on a current loop maximum?
Question 7
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When is the torque on a current loop zero?
Question 8
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A coil with \(\mu=0.080\,\mathrm{A\,m^2}\) is in \(0.50\,\mathrm{T}\) at \(30^\circ\) to the field. Find the torque.
Question 9
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State the vector torque law for a magnetic dipole in a magnetic field.
Question 10
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State the potential energy of a magnetic dipole in a magnetic field.
Question 11
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Which orientation of a current loop in a magnetic field is stable?
Question 12
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Which orientation of a current loop in a magnetic field is unstable?
Question 13
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A coil has maximum torque \(0.060\,\mathrm{N\,m}\) in \(0.20\,\mathrm{T}\). Find its magnetic moment.
Question 14
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A \(100\)-turn coil with current \(0.20\,\mathrm{A}\) must have \(\mu=0.50\,\mathrm{A\,m^2}\). Find the area per turn.
Question 15
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Why can a current loop have zero net force but nonzero torque in a uniform field?
Question 16
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If the current in a loop is doubled, what happens to its maximum torque?
Question 17
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If the number of turns and the current are both doubled, what happens to maximum torque?
Question 18
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A dipole with \(\mu=0.10\,\mathrm{A\,m^2}\) rotates from perpendicular to parallel with a \(0.40\,\mathrm{T}\) field. Find the change in potential energy.
Question 19
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A loop has \(\vec\mu\) along \(+x\) and \(\vec B\) along \(+z\). What is the torque direction?
Question 20
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Explain how the torque equation \(\tau=NIAB\sin\theta\) connects wire forces to magnetic dipole alignment.