9 . A square coil of side 9.00 cm contains 150 loops and its plane is positioned

Question

9. A square coil of side 9.00 cm contains 150 loops and its plane is positioned perpendicular to a uniform 0.56-T magnetic field, as shown. It is quickly and uniformly pulled from the field to a region where the B-field drops abruptly to zero. It takes 0.16 s for the whole coil to reach the field-free region. How much power is dissipated in the coil if its resistance is 140 ?

Please show your work!

9. A square coil of side 9.00 cm contains 150 loops and its plane is positioned perpendicular to a uniform 0.56-T magnetic field, as shown. It is quickly and uniformly pulled from the field to a region where the B-field drops abruptly to zero. It takes 0.16 s for the whole coil to reach the field-free region How much power is dissipated in the coil if its resistance is 140 ?

Explanation / Answer

= f - i
= 0 - B*A
= -(0.56)(0.09)^2
= -0.004536 Wb

V = -N*/t
= -150*(-0.004536)/0.16
= 4.25 V

P = V^2/R
= 4.25^2/140
= 0.13 W

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