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Problem: A small, 1.70-mm-diameter circular loop with R = 1.40x10-2 Ω 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 + 1.0 A to -1.0 A in 9.00x10-2 s.What is the induced current in the inner loop?Express your answer with the appropriate units.

FREE Expert Solution

This problem involves magnetic fields produced by loops and solenoids as well as Fraday's law.

The magnetic field produced by a current loop:

B=Nμ0i2r

Induced emf/Friday's Law:

ε=-dϕBdt

Magnetic flux:

ϕB=BAcosθ

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Problem Details

A small, 1.70-mm-diameter circular loop with R = 1.40x10-2 Ω 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 + 1.0 A to -1.0 A in 9.00x10-2 s.


What is the induced current in the inner loop?

Express your answer with the appropriate units.

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