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Problem: The value of the line integral around the closed path in the figure is 1.70×10−5 Tm .a. What is the direction (in or out of the page) of I3?b. What is the magnitude of I3?

FREE Expert Solution

Ampere's law:

B·ds=μ0Ienclosed, where permeability, μ0 = 4π × 10-7 H/m

(a)

We use the right-hand rule to determine the direction of the current, I3.

The magnetic field is moving in a clockwise direction around the loop. 

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Problem Details

An integration path runs clockwise and encloses two currents labelled I 2 and I 3 with two other currents outside the loop labelled I 1 and I 4. I 1 lies to the left of the path outside of it and it is 18 amperes into the page. I 2 is 12 amperes out of the page. I 4 lies to the right of the path outside of it and it is 20 amperes into the page.

The value of the line integral around the closed path in the figure is 1.70×10−5 Tm .

a. What is the direction (in or out of the page) of I3?

b. What is the magnitude of I3?

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