☰ Contents · Physics

Current-carrying loop and the Lorentz force

Lessons 55–56 · 2 lessons · P.Q. Habibullayev, A. Boydedayev, A.D. Bahromov, J.E. Usarov, K.T. Suyarov, M.K. Yuldasheva. Physics, textbook for Grade 8 of general secondary schools, revised and enlarged 3rd edition. “O‘qituvchi” Publishing and Printing Creative House, Tashkent, 2019
55

Rotation of a current-carrying frame in a uniform magnetic field

Textbook: pp. 153–154
GoalKnow the rotation of a current-carrying loop in a magnetic field and the structure of a moving-coil (magnetoelectric) ammeter.
New words
current-carrying loop · tokli ramkaturning effect · aylantiruvchi momentmoving-coil instrument · magnitoelektr asbobspring · prujina
Explanation

Ampère forces act on the opposite sides of a current-carrying loop in a magnetic field; by the left-hand rule they point in opposite directions, so they turn the loop. The loop turns and stops when its plane is perpendicular to the field lines. The turning effect is directly proportional to the current. This phenomenon is the basis of moving-coil (magnetoelectric) measuring instruments (ammeter, voltmeter): a coil and a pointer sit between the poles of a strong permanent magnet, and a spiral spring holds the coil. When current flows the coil turns and twists the spring; the spring resists the turn, so the pointer deflects through an angle proportional to the current. An ammeter is connected in series; mind the poles and do not pass more current than the measuring limit.

Worked examples
Opposite forces of 2 N act on the two sides of a loop and the distance between them is 0.1 m, so the turning effect (moment) is 2 · 0.1 = 0.2 N·m.
An ammeter deflects the pointer by 20 divisions at 1 A. Since deflection is proportional to current, at 0.5 A it deflects by 10 divisions.
Class activity

Draw a simplified diagram in your notebook of a loop, the poles of a permanent magnet and a spring-type ammeter, labelling each part. Do not open a real instrument.

Practice
1
Why does a current-carrying loop turn in a magnetic field?
2
An ammeter deflects 40 divisions at 2 A. How many divisions at 0.5 A?
3
The arm of a loop is 0.2 m and the forces are 3 N. The moment in N·m?
4
Why does an ammeter need a spring?