A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity ( g=10 m/s^2 ) through a uniform horizontal magnetic field of 0.5 Gauss perpendicular to the length of the wire.…

Question

A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity ( g=10 m/s^2 ) through a uniform horizontal magnetic field of 0.5 Gauss perpendicular to the length of the wire. The induced EMF across the wire when it travells a vertical distance of 200 m is \_ \_ \_ \_ mV.

Accepted Answer

Correct answer: A. (a) For a conducting wire falling in a magnetic field, induced EMF is: E= BLv After falling through height h=200 m, velocity: v= 2 gh= 2 10 200= 4000=20 10 m/s Converting magnetic field: B=0.5 Gauss =0.5 10^-4 T Induced EMF: E=(0.5 10^-4) 20 20 10=200 10^-4 10=0.02 10 V=20 10 mV

$A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity (g = 10 m / s^{2}) through a uniform horizontal magnetic field of 0.5 Gauss perpendicular to the length of the wire. The induced EMF across the wire when it travells a vertical distance of 200 m is____mV.$

Solution

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