The rectangular loop shown in Fig. P27.68 is pivoted about

Chapter 27, Problem 78P

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QUESTION:

The rectangular loop shown in Fig. P27.78 is pivoted about the \(y\)-axis and carries a current of 15.0 A in the direction indicated. (a) If the loop is in a uniform magnetic field with magnitude 0.48 T in the \(+x\)-direction, find the magnitude and direction of the torque required to hold the loop in the position shown. (b) Repeat part (a) for the case in which the field is in the \(-z\)-direction. (c) For each of the above magnetic fields, what torque would be required if the loop were pivoted about an axis through its center, parallel to the \(y\)-axis?

Equation Transcription:

Text Transcription:

y

+x

-z

y

8.00 cm

15.0 A

6.00 cm

30.0deg

Questions & Answers

QUESTION:

The rectangular loop shown in Fig. P27.78 is pivoted about the \(y\)-axis and carries a current of 15.0 A in the direction indicated. (a) If the loop is in a uniform magnetic field with magnitude 0.48 T in the \(+x\)-direction, find the magnitude and direction of the torque required to hold the loop in the position shown. (b) Repeat part (a) for the case in which the field is in the \(-z\)-direction. (c) For each of the above magnetic fields, what torque would be required if the loop were pivoted about an axis through its center, parallel to the \(y\)-axis?

Equation Transcription:

Text Transcription:

y

+x

-z

y

8.00 cm

15.0 A

6.00 cm

30.0deg

ANSWER:

Solution 78P

Step 1 of 7:

In the given problem, the the rectangular loop has the dimensions of length L= 8 cm and width W= 6 cm , carries a current I= 15 A when placed in the magnetic field  as shown in the figure below.

1.png

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