A small, 2.0-mm-diameter circular loop with R = 0.029 ? is at the center of a la

Question

A small, 2.0-mm-diameter circular loop with R = 0.029 ? is at the center of a large 100-mm-diameter circular loop. Both loops lie in the same plane. The current in the outer loop changes from +1.1 A to

in 0.15 s. What is the induced current in the inner loop? (Use

for the permeability constant ?0.)

A small, 2.0-mm-diameter circular loop with R = 0.029 Ohm is at the center of a large 100-mm-diameter circular loop. Both loops lie in the same plane. The current in the outer loop changes from +1.1 A to -1.1 A in 0.15 s. What is the induced current in the inner loop? (Use 4 pi Times 10-7 T m/A for the permeability constant mu 0.) nA

Explanation / Answer

A=pid^2/4 =pi*(100*10^-3)^2/4

A=7.85*10^-3 m^2

L =uoNA =(4pi*10^-7)(1)(7.85*10^-3)

L=9.87*10^-9 H

I =(L/R)(dI/dt) =(9.87*10^-7/0.029)(1.1-(1.1)/0.15)

I=5*10^-6 A

I=5000 nA

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