For this problem, you need to determine the magnetic field at the center of the

Question

For this problem, you need to determine the magnetic field at the center of the large loop. The formula for that is B = where R is the radius of the loop 2R A small circular loop of wire of radius 5.0 cm and resistance R : 1 2 x 1O3 is centered inside a large circular loop of wire of radius 50 cm eefigure below the larger loop, which initially carries a clockwise current 1 = 8.5 A, is cut and its current is reduced to zero over a time interval of 9.0 × 10-7 s. Find the voltage & current in the smaller loop during this time interval. (The B-field of the larger loop is approximately constant over the smaller loop.) current direction clockwise 10 cm

Explanation / Answer

Magnetic field at the center of circular loop

B=uoI/2r =(4pi*10-7)(8.5)/(2*0.5)=1.068*10-5 T

Induced emf

V=AdB/dt =(pi*0.052) *(1.068*10-5)/(9*10-7)

V=0.0932 Volts or 93.2 mA

Current

I=V/R =0.0932/(1.2*10-3)

I=77.68 A

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