☰ Contents · Physics

The Ampère force

Lessons 53–54 · 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
53

Action of a magnetic field on a current-carrying conductor

Textbook: pp. 149–151
GoalKnow the force of a magnetic field on a current-carrying conductor (Ampère force) F = BIl and the left-hand rule.
New words
Ampère force · Amper kuchileft-hand rule · chap qo‘l qoidasitesla = N/(A·m) · tesla = N/(A·m)magnetic induction · magnit induksiyasi
Explanation

A force acts on a current-carrying conductor placed in a magnetic field; it is called the Ampère force. If the conductor is perpendicular to the field lines, the force is F = B·I·l: B is the magnetic induction, I the current, l the length of the conductor in the field. From this B = F/(I·l), so 1 T = 1 N/(1 A · 1 m): 1 T is the induction of a field that acts with a force of 1 N on a 1 m long conductor carrying 1 A. The direction of the force is found with the left-hand rule: hold the left palm so that the field lines enter the palm and the four fingers point along the current; then the thumb, turned by 90°, shows the force direction. The force direction changes if we reverse the current or the field. These experiments are done only under the teacher’s supervision with a low-voltage source.

Worked examples
B = 2 T, I = 5 A, l = 0.3 m (perpendicular): F = B·I·l = 2 · 5 · 0.3 = 3 N.
A force F = 0.6 N acts on a conductor with I = 3 A and l = 0.2 m: B = F : (I·l) = 0.6 : (3 · 0.2) = 1 T.
Class activity

Draw 3 diagrams in your notebook for the left-hand rule: field lines entering the page, current to the right; then current to the left; then the field reversed. Find the force direction in each.

Practice
1
Write the formula for the Ampère force and name the quantities.
2
If B = 4 T, I = 2 A and l = 0.5 m, what is F in N?
3
F = 1.5 N, I = 5 A, l = 0.5 m. What is B in T?
4
What happens to the Ampère force if the current is reversed?