A conductor of mass 0.16 kg and length 80 cm is suspended horizontally in a vertical uniform magnetic field on two thin threads. The ends of the conductor are connected to a current source by flexible wires located outside the field. Find the angle by which the suspension threads deviate from the vertical if a current of 2 A flows through the conductor and the magnetic field induction is 1 T.

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Solutions of Savchenko Problems in Physics
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    <h3> Statement </h3>
    <p>
        $9.1.5.$ A conductor of mass $0.16$ kg and length $80$ cm is suspended horizontally in a vertical uniform magnetic field on two thin threads. The ends of the conductor are connected to a current source by flexible wires located outside the field. Find the angle by which the suspension threads deviate from the vertical if a current of $2$ A flows through the conductor and the magnetic field induction is $1$ T.
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    <h3>Solution</h3>
    <p>

Ampere force acting on a conductor $$F = Il\cdot B$$ From Newton's second law, the condition of equilibrium on the horizontal and vertical axes $$T\cos\alpha = mg;\quad T\sin\alpha = F$$ dividing one expression by the other, we get $$\tan\alpha = \frac{F}{mg}$$ $$\boxed{\alpha = \arctan \left(\frac{IlB}{mg}\right) = 45^{\circ}}$$

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    <h4>Answer: $\alpha = 45^{\circ}$</h4>
	<p style="text-align: right; font-style: italic; font-size: 14;">
      Andrei Yersh<br>
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