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a) Calculate the magnitude of the average EMF generated in the coil during this

ID: 1288167 • Letter: A

Question

a) Calculate the magnitude of the average EMF generated in the coil during this process.

b) Calculate the average current generated in the coil during this process.

c) What direction is the current induced during this process?

d) Calculate the x component of magnetic force acting on the left side of the coil during this process.

e) Calculate the power needed to pull the coil during this process.

f) Calculate the power dissipated by current moving through the resistance of the coil during this process.

A square coil of 81 loops, with a side of 6.9 cm, and resistance of 270 I (c) is shown above. The loop is positioned in a local magnetic field of 630 mT directed into the page. The loop is initially at the rightmost edge of the field (as shown). The loop is removed from the field at constant speed of 1.3 m/s by exerting an external force in the +x direction. a) Calculate the magnitude of the average EMF generated in the coil during this process. b) Calculate the average current generated in the coil during this process. c) What direction is the current induced during this process? d) Calculate the x component of magnetic force acting on the left side of the coil during this process. e) Calculate the power needed to pull the coil during this process. f) Calculate the power dissipated by current moving through the resistance of the coil during this process.

Explanation / Answer

a) emf = e= N*B*v*L = 81*630e-3*1.3*0.069 = 4.577391 v

b) i = e/R = 4.577391/270 = 0.0169533 A


c) counterclock wise


d) F = N*i*L*B = 81*0.0169533*.069*630e-3 = 0.059693756031 N

e) P = F*v = 0.0776018828403 W

f) P = i^2*R = 4.577391 W