# A conductor 20 cm long is located in a uniform magnetic field at an angle of 45 degrees to the induction lines.

June 30, 2021 | education

| **A conductor 20 cm long is located in a uniform magnetic field at an angle of 45 degrees to the induction lines. Find the force acting on the conductor if the current in the conductor is 50 A and the magnetic induction is 0.01 T.**

To calculate the magnitude of the Ampere force acting on the used conductor, you must use the formula: Fa = B * I * l * sinα.

Data: B – magnetic induction (B = 0.01 T); I is the current in the conductor (I = 50 A); l is the length of the conductor (l = 0.2 m); α is the angle between the lines of induction and the used conductor (α = 45º).

Let’s perform the calculation: Fa = B * I * l * sinα = 0.01 * 50 * 0.2 * sin 45º ≈ 0.0707 N.

Answer: A force of 70.7 mN acts on the conductor used.

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