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nekit [7.7K]
3 years ago
7

A conducting bar slides without friction on two parallel horizontal rails 50 cm apart. The resistance of the bar and the rails i

s assumed to be constant and equal to 0.1 Ω. A uniform magnetic field is perpendicular to the plane of the rails. A force F = 0.08 N is required to keep the bar moving at a constant speed of 0.5 m/s. What is the magnitude of the magnetic field?
English
1 answer:
Airida [17]3 years ago
5 0

ANSWER:

0.253 T

EXPLANATION:

we know that Lorentz force (force on a moving conductor ) is given by

F= BILSIN\Theta

where B= magnetic field

           I= current through conductor

           sinΘ=90° given

so F=BIL

B=\frac{F}{LI}

\frac{dA}{dt}=0.5\times 0.5 =0.25 m^{2}/sec

V=\frac{d\left ( BA \right )}{dt}=B\frac{dA}{dt}

=B×0.25

I=\frac{V}{0.1}

=B×2.5

B^{2}=\frac{0.08}{0.5\times 2.5}

B=0.253 T

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