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# In Figure P20.14, what is the direction of the current induced in the resistor at the instant the switch is closed?

## \text { right-to-left }

### Discussion

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##### Christina K.

Rutgers, The State University of New Jersey

LB

### Video Transcript

So for this question, we can use Len's law, so the charge is gonna move from high potential toe low potential. Therefore, the current direction through the rod is from right to left. So let's go ahead and write that down. The current through the rod is equal to right to left. Well, to say is right to left. Okay, But looking at the image, um, but according to a let's law, the direction of the current inducing the resist er is going to resist that current. So it's gonna be left to right because when the switch disclosed, the magnetic field due to the current from the battery will be directed fromthe left along the access of the cylinder to oppose the increasing leftward flux, the induced current in the other Luke must produce a field directed from left to right through the area it enclosed. Therefore, the direction of the current induced in the resistance is from left to right. So we can say according because the current through the rod is right to left. Therefore, the current in resist er is left to right. We can go ahead and box set in as our solution to the question

University of Kansas
##### Christina K.

Rutgers, The State University of New Jersey

LB