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Suppose a conducting rod is 86 cm long and slides on a pair of rails at 4.75 m/s.

Randomized Variables v = 4.75 m/s l = 86 cm

What is the strength of the magnetic field in T if a 5 V emf is induced?
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Added Sat, 08 Aug '15
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Let the length of the rail be x m

So, Area of the system = x X L (length of the conducting rod)

= 0.86x

Let the magnitude of the magnetic field perpendicular to the area of the system be B

So Flux across the area = B X Area = B X 0.86x

Rate of change of flux = Emf induced in the system

- \frac{\mathrm{d} \phi }{\mathrm{d} t} = E

\frac{\mathrm{d} \phi }{\mathrm{d} t} =0.86B\frac{\mathrm{d} x }{\mathrm{d} t}=0.86Bv = 0.86 X B X4.75 = 4.1 B

So, 4.1 B = E = 5

B = 1.22 T

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