An old style wood mousetrap as drawn to the right develops an an- gular velocity

Question

An old style wood mousetrap as drawn to the right develops an an- gular velocity of w 260Hz about the segment of the coil at the mid dle of the trap; therefore, the an gle between the normal and the earth's magnetic field changes at 0(t) o+wt. For this problem assume 6o -0. The earth's mag netic field is still about 4 10-5T The sides of the square coil are 7cm long. Compute the maximum emf that would be measured across this mousetrap as it snaps shut Select One of the Following: (a) 2.0 x 10-7V (b) 5.1 x 10-5V (c) 7.2 x 10-4 (d) 1.3 x 1o-2V (e) 2.3 x 10-ly

Explanation / Answer

flux = N A B cos wt

Area = l2

maximum emf = N A B w sin wt

maximum emf = N B l2 w

= 1 * 4 * 10-5 * (7 * 10-2)2 * 260

= 5.1 * 10-5 V [option B]

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