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In a common classroom demonstration, a magnet is dropped down a long, vertical copper tube. The magnet moves very slowly as it falls through the tube, taking severa seconds to reach the bottom. Explain this behavior.

Many equal-arm balances have a small metal plate attached to one of the two arms. The plate passes between the poles of a magnet mounted in the base of the balance. Explain the purpose of this arrangement.

Many equal-arm balances have a small metal plate attached to one of the two arms. The plate passes between the poles of a magnet mounted in the base of the balance. Explain the purpose of this arrangement.

A \(0.055\)-T magnetic field passes through a circular ring of radius \(3.1 \mathrm{~cm}\) at an angle of \(16^{\circ}\) to the normal. Find the magnitude of the magnetic flux through the ring.

A \(0.055-\mathrm{T}\) magnetic field passes through a circular ring of radius \(3.1 \mathrm{~cm}\) at an angle of \(16^{\circ}\) to the normal. Find the magnitude of the magnetic flux through the ring.

A magnetic field is oriented at an angle of \(47^{\circ}\) to the normal of a rectangular area \(5.1 \mathrm{~cm}\) by \(6.8 \mathrm{~cm}\). If the magnetic flux through this area has a magnitude of \(4.8 \times 10^{-5} \mathrm{~T} \cdot \mathrm{m}^{2}\), what is the strength of the magnetic field?

Find the magnitude of the magnetic flux through the floor of a house that measures \(22 \mathrm{~m}\) by \(18 \mathrm{~m}\). Assume that the Earth's magnetic field at the location of the house has a north-pointing horizontal component of \(2.6 \times 10^{-5} \mathrm{~T}\) and a downward vertical component of \(4.2 \times 10^{-5} \mathrm{~T}\).

MRI Solenoid The magnetic field produced by an MRI solenoid \(2.5 \mathrm{~m}\) long and \(1.2 \mathrm{~m}\) in diameter is \(1.7 \mathrm{~T}\). Find the magnitude of the magnetic flux inside the core of this solenoid.

MRI Solenoid The magnetic field produced by an MRI solenoid \(2.5 \mathrm{~m}\) long and \(1.2 \mathrm{~m}\) in diameter is \(1.7 \mathrm{~T}\). Find the magnitude of the magnetic flux inside the core of this solenoid.

A conducting loop has an area of \(7.4 \times 10^{-2} \mathrm{~m}^{2}\) and a resistance of \(110 \Omega\). Perpendicular to the plane of the loop is a magnetic field of strength \(0.48 \mathrm{~T}\). At what rate (in \(\mathrm{T} / \mathrm{s}\) ) must this field change if the induced current in the loop is to be \(0.32 \mathrm{~A}\) ?