A circular coil enclosing an area of 157 cm 2 is made of 210 turns of copper wir

Question

A circular coil enclosing an area of 157 cm2 is made of 210 turns of copper wire as shown in the figure. A 7.3 resistor is inserted in the copper wire. Initially, a uniform magnetic field of magnitude 2.38 T points horizontally from left-to-right through the perpendicular plane of the coil. When viewed from the right the coil is wound counter-clockwise.

Magnetic Field B(t) During a 5.7 minute time interval the field uniformly changes at a constant rate, until a reversed field is reached equal in magnitude to the initial field. How much charge flows through the coil? Answer in units of C

Explanation / Answer

Q = I*t

I = e/R

e = Ndphi/dt

phi = BA

A = 157 x 10^-4 m^2

dB = (-2.38 T-2.38T)

N = 210 turns

Q = I*dt

I = e/R = Ndphi/dt*R

Q = N*dphi /R

Q = N*A*dB/R

Q = 2.1498 C

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