A single loop of copper wire moves at an unknown constant speed v into a region

Question

A single loop of copper wire moves at an unknown constant speed v into a region of uniform magnetic field B = 2.50 T. The magnetic field points into the page inside the region with crosses. The magnetic field is everywhere else zero. The resistivity of copper is ? = 1.70E-8 ?.m and the cross sectional diameter of the copper wire is 0.800 mm. The magnitude of the induced voltage in the copper wire loop is ? = 4.00 V.

a) Calculate the resistance of the copper wire loop
b

) Calculate the induced current in the copper wire loop

Explanation / Answer

Motional Emf induced=E=VBL

a)

Resistance=rho*L/A

or

R=1.7*10^-8*3/(pi(0.8*10^-3)^2)=0.02536 ohm

b)

Induced current;

i=E/R=4/(0.02536 )=157.695A

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