A closed curve encircles several conductors. The line integral ∲B...

Question

A closed curve encircles several conductors. The line integral ∲B .dl around this curve is 3.83 * 10^-4 T m. (b) If you were to integrate around the curve in the opposite direction, what would be the value of the line integral? Explain.

Accepted Answer

Hey everyone. So this problem is working with magnetic fields. It's asking us to consider a close loop that surrounds a long cable consisting consisting of cylinder shape conductors that are spaced apart by insulators. They give us the anti clockwise line integral value. And they're asking us to determine the value of the clockwise line integral, the same integral of B. D. L. Which is the magnitude of the magnetic field. So really this problem is just asking if you remember some of the basics of magnetic fields and their directions and their signs. So let's just recall that the magnitude of a counterclockwise um line integral is the opposite of that same line in a girl in the clockwise direction. And that's really all we need to remember for this problem. So our counterclockwise um value is 1.27 times 10 to the negative to Tesla meters, which means that our clockwise value, this is what we're searching. This is what we're looking for is the opposite of that. So clockwise is negative 1.27 times 10 to the negative to Tesla m. And we look at our possible answers. That's answer a That's all we have for this problem. See you in the next video

A closed curve encircles several conductors. The line integral ∲B .dl around this curve is 3.83 * 10^-4 T m. (b) If you were to integrate around the curve in the opposite direction, what would be the value of the line integral? Explain.

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