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Figure 22.62 shows a long straight wire just touching a

Chapter 22, Problem 68

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QUESTION:

Figure \(22.62\) shows a long straight wire just touching a loop carrying a current \(I_{1}\). Both lie in the same plane.

(a) What direction must the current \(I_{2}\) in the straight wire have to create a field at the center of the loop in the direction opposite to that created by the loop?

(b) What is the ratio of \(I_{1} / I_{2}\) that gives zero field strength at the center of the loop?

(c)What is the direction of the field directly above the loop under this circumstance?

                

Figure \(22.62\)

Equation Transcription:

Text Transcription:

22.62

I_1

I_2

I_1 / I_2

Questions & Answers

QUESTION:

Figure \(22.62\) shows a long straight wire just touching a loop carrying a current \(I_{1}\). Both lie in the same plane.

(a) What direction must the current \(I_{2}\) in the straight wire have to create a field at the center of the loop in the direction opposite to that created by the loop?

(b) What is the ratio of \(I_{1} / I_{2}\) that gives zero field strength at the center of the loop?

(c)What is the direction of the field directly above the loop under this circumstance?

                

Figure \(22.62\)

Equation Transcription:

Text Transcription:

22.62

I_1

I_2

I_1 / I_2

ANSWER:

Solution 68PE

a.) The direction of magnetic field can be determined by RHR-2, according to which right thumb points in the direction of current and the finger curl in the direction of the magnetic field.

Here for loop right thumb point the current towards left then the fingers curl out of the page. Therefore the direction of magnetic field is out of the page.

So to cancel this magnetic field, the magnetic field due to current

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