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003 10.0 points A circular coil enclosing an area of 80.8 cm2 is made of 235 tur

ID: 1460026 • Letter: 0

Question

003 10.0 points A circular coil enclosing an area of 80.8 cm2 is made of 235 turns of copper wire as shown schematically in the figure. Initially, a 1.12 T uniform magnetic field points perpendicularly left-to-right through the plane of the coil. The direction of the field then reverses to right-to- left. The field reversal takes 1.0 ms. Magnetic Field B(t) During the time the field is changing its direction, how much charge flows through the coil if the resistance is 3.42 ohm? Answer in units of C.

Explanation / Answer

From Faraday's law, we know that

V = N(BA) / t

Vt = NBA
B = 2B

Vt = 2NBA
Q = It = Vt/R = 2NBA/R

Q = [2*235*1.12*0.00808] / 3.42

Q = 4.2533 / 3.42

Q = 1.24 C