Question

The magnetic field perpendicular to a single 18.8 cm -diameter circular loop of copper wire decre...

The magnetic field perpendicular to a single 18.8 cm -diameter circular loop of copper wire decreases uniformly from 0.610 T to zero.

If the wire is 2.20 mm in diameter, how much charge moves past a point in the coil during this operation?

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Answer #1

Length of wire

L = 2 pi R = 2* 3.14* 9.4*10^-2

L = 0.59 m

Resistance of wire

R = rho* L/A

R = 1.72*10^-8* 0.59 / ( 3.14* (1.1*10^-3)^2)

R = 2.671*10^-3 ohm

Induced emf is given by

e = A B / t

Current corresponding to the above induced emf

I = e/R

I = AB / (Rt)

It = AB / R

Q = AB /R = 3.14* (9.4*10^-2)^2 * 0.61 / (2.671*10^-3)

Q = 6.336 C

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