A circular loop of wire with a radius of 12.0 cm and...

A circular loop of wire with a radius of 12.0 cm and oriented in the horizontal $xy$-plane is located in a region of uniform magnetic field. A field of 1.5 T is directed along the positive z-direction, which is upward. (a) If the loop is removed from the field region in a time interval of 2.0 ms, find the average emf that will be induced in the wire loop during the extraction process. (b) If the coil is viewed looking down on it from above, is the induced current in the loop clockwise or counterclockwise?

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Transcript

00:01 Okay, so we're going to do chapter 29, problem five.

00:04 So this problem says there's a circular loop of wire with a radius 12 sunburns.

00:11 So r equals 12 centimeters.

00:13 This is in the x, y plane.

00:16 So let's call this x, y, and z going up.

00:24 Okay, so it's in a uniform magnetic field, a field of 1 .5 phecels is directed along the positive z direction.

00:32 B equals 1 .5 tesla pointed up.

00:39 So b equals 1 .5 z.

00:45 So the z direction.

00:46 Awesome.

00:48 Okay, so part a asks if the loop is removed from the field region in a time interval of 2 milliseconds.

00:59 So delta t equals 2 .0 milliseconds.

01:04 Find the average.

01:05 Emf that will be induced in the wire loop during the extraction process.

01:10 Okay, so this is a faraday's law question.

01:13 So we're going to use faraday's law and that says that the emf, the average emf, is given as the negative change in magnetic flux over the time of the goal.

01:27 Okay.

01:29 So now we got to figure out what our magnetic flux is.

01:33 So our magnetic flux initially is just b times the cross -sectional area.

01:38 Area, right? okay...

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