A square loop made of copper wire is falling out of a region where there is a ma

Question

A square loop made of copper wire is falling out of a region where there is a magnetice field Bext = 0.13 T. The loop is falling with a constant velocity because of the current induced in the loop.

What is the velocity of the loop? Give your answer in m/s to at least three significant digits.

It will be useful to know that:

The mass density of copper (mass per volume) is 9.0x103 kg/m3.

The resistivity of copper is ? = 1.7x10-8 ?-m.

Remember that the resistance of a wire of length L and cross-sectional area A is R = ? L/A.

Explanation / Answer

for constant velocity

mg = BIL ( gravitational force must balanced with magnetic force)

induced emf = VBL

=> I = VBL/R

9.0x103*A*4L*g = B*VBL/R*L = B^2L*V*A/

=> 9*10^3*4*9.8 = 0.13^2*V/1.7*10^-8

=> V = 0.354 m/s

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