PHY 123: Torque on a Current Loop in a Uniform Magnetic Field

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29 Questions

What is the magnetic dipole moment of a coil equal to?

The unit vector normal to the loop times the area

What is the unit of the magnetic dipole moment?

Ampere square meter

What is the direction of the magnetic dipole moment of a coil?

Perpendicular to the plane of the coil

What is the magnitude of the magnetic dipole moment of the coil in the example?

1.72 × 10⁻³ (A⋅m²)

What is the magnetic field strength in the example?

0.35 T

What is the direction of the area vector 𝐴Ԧ in a rectangular loop?

In the direction normal to the loop

What is the force experienced by the charges moving in sides 2 and 4 of the rectangular loop?

𝐹𝐵 = 𝐵𝐼𝑎

What is the expression for the torque 𝜏𝑚𝑎𝑥 in a rectangular loop carrying current 𝐼 in a uniform magnetic field 𝐵?

𝜏𝑚𝑎𝑥 = 𝐵𝐼𝑎𝑏

What is the reason for the force acting only on the charges moving in sides 2 and 4 of the rectangular loop?

Because the charges are moving in a direction perpendicular to the magnetic field

What is the direction of the torque 𝜏 in a rectangular loop carrying current 𝐼 in a uniform magnetic field 𝐵?

In the direction of the cross product of the magnetic field and the area vector

What is the expression for the torque 𝜏 in a rectangular loop carrying current 𝐼 in a uniform magnetic field 𝐵?

𝜏 = 𝐼𝐴𝐵 𝑠𝑖𝑛𝜃

What is the direction of the magnetic force FB on a positive charge according to Fleming's left-hand rule?

Thumbed out of the page

What is the magnetic dipole moment of the loop in the given situation?

6.02 × 10−4 N·m

What is the Hall voltage VH for opposite charge carriers?

Opposite in sign but same in magnitude

What is the purpose of applying another force in the opposite direction in the Hall effect?

To balance the magnetic force FB

What is the direction of the magnetic field with respect to the coil in the given situation?

Parallel to the coil

What is the expression for the magnetic force FB acting on a charge moving in a magnetic field?

FB = qv × B

What is the condition for the Hall voltage VH to become zero?

When FB equals FE

What is the relationship between the Hall voltage VH and the current I?

VH is directly proportional to I

What is the Hall coefficient RH?

1 / nq

What is the purpose of a properly calibrated conductor in the Hall effect?

To measure the magnetic field strength

What is the direction of the magnetic field with respect to the strip in the given example?

Perpendicular to the strip

What is the unit of the Hall coefficient RH?

Meter squared per coulomb

What is the physical quantity that is being measured by the Hall voltage?

Current density

What is the direction of the magnetic field in the example with respect to the copper strip?

Perpendicular to the strip

What is the relationship between the Hall voltage and the current in the strip?

The Hall voltage is directly proportional to the current

What is the unit of the molar mass of copper?

g/mol

What is the purpose of the Hall effect?

To measure the current density in a material

What is the significance of the Avogadro's number in the Hall voltage equation?

It represents the number of electrons in a mole of copper

This quiz covers the concept of torque on a current loop in a uniform magnetic field, including the effect of magnetic field on a rectangular loop and the Hall Effect. It also explores the force acting on charges moving in a magnetic field.

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