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You\'re an electrical engineer designing an alternator (the generator that charg

ID: 2037377 • Letter: Y

Question

You're an electrical engineer designing an alternator (the generator that charges a cars battery). Mechanical engineers specify a 10-cm-diameter rotating coil, and you determine that you can fit 250 turns in this coil. To charge a 12-V battery, you need a peak output of 19 V when the alternator is rotating at 1100 rpm. What do you specify for the alternator's magnetic field? HINT: Notice that the rotation rate of the coil is given in revs per minutes, not revs per second. Express your answer to two significant figures and include the appropriate units. B-Value Units

Explanation / Answer

Here,

w = 1100 rpm = 115.2 rad/s

Now, let the magnetic field is B

peak emf = N * A * B * w

19 = 115.2 * 250 * pi * (0.10/2)^2 * B

solving for B

B= 0.084 T

the magnetic field needed is 0.084 T

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