Back to Exercise: Magnetic Fields, Field Lines, and Force

Exercises: Magnetic Fields, Field Lines, and Force

Work through each section in order. Show your work where indicated. For direction problems, state your answer as a cardinal direction (up, down, left, right, into page, out of page) or compass direction as appropriate.

Grade 11·22 problems·~30 min·OpenStax Physics (High School)·section·sec-20-1
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A

Recall / Warm-Up

1.

Which statement best distinguishes a magnetic field from an electric field?

2.

Which of the following is NOT a source of a magnetic field?

3.

A student draws magnetic field lines for a bar magnet and makes one of the following errors. Which rule for magnetic field lines did the student violate?

The student draws field lines that cross each other near the north pole.

B

Fluency Practice

1.

A bar magnet's magnetic field strength is B=0.1 TB = 0.1\ \text{T} near its pole. The SI unit of magnetic field strength is the tesla. Which statement correctly relates the tesla to base SI units?

3D coordinate system showing velocity v pointing right along x-axis, magnetic field B pointing up along y-axis, with the force direction to be determined using the right-hand rule
2.

A proton (q=+eq = +e) moves to the right (in the +x+x direction) through a magnetic field pointing upward (in the +y+y direction). Using the force right-hand rule (fingers along vv, curl toward BB, thumb gives FF), what is the direction of the magnetic force on the proton?

3.

A current-carrying wire lies along the xx-axis with current flowing in the +x+x direction (to the right). A uniform magnetic field B\mathbf{B} points in the +y+y direction (upward). Using the force right-hand rule for a wire (fingers along current, curl toward BB, thumb gives FF), what is the direction of the magnetic force on the wire?

4.

An electron (q=1.6×1019 Cq = 1.6 \times 10^{-19}\ \text{C}, charge magnitude) moves at v=3.0×106 m/sv = 3.0 \times 10^6\ \text{m/s} perpendicular to a magnetic field of B=0.050 TB = 0.050\ \text{T}. Calculate the magnitude of the magnetic force on the electron in newtons. The velocity is perpendicular to the field (θ=90°\theta = 90\degree).

5.

A wire of length L=0.30 mL = 0.30\ \text{m} carries a current of I=5.0 AI = 5.0\ \text{A} and is placed perpendicular (θ=90°\theta = 90\degree) to a uniform magnetic field B=0.40 TB = 0.40\ \text{T}. Calculate the magnitude of the force on the wire in newtons.

6.

A straight wire of length L=0.50 mL = 0.50\ \text{m} carries I=2.0 AI = 2.0\ \text{A} at an angle of θ=30°\theta = 30\degree to a magnetic field of B=0.20 TB = 0.20\ \text{T}. Calculate the magnitude of the force on the wire in newtons.

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