Two solenoids A and B are arranged as shown in the figure. The separation between the solenoids is h and h is smaller compared to the radius of the coils. Current IA=−47mA is flowing through solenoid A and current IB=−58mA is flowing through solenoid B. Both solenoids have the same length l=57cm and the same number of turns N=696.   Note: positive sign of the current is the direction of the flow of the current shown in the figure. a )Find the magnetic field in unit vector notation at point P due to the solenoid-A. b) Find the net magnetic field in unit vector notation at point P due to both the solenoids. We place a small magnet with magnetic dipole moment μ⃗ =(43.0i^+−53.0k^) Nm/T at point P. It will experience a rotational force due to the net magnetic field set up by the solenoids at P. c)Find the torque on the magnetic dipole in unit vector notation at point P due to the solenoids. Now, we replace the currents in solenoid-A and solenoid-B by the reversed sign i.e. IA→−IA and IB→−IB. Find the net magnetic field at P due to the solenoids. Hence, find the torque on the small dipole magnet.

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Two solenoids A and B are arranged as shown in the figure. The separation between the solenoids is h and h is smaller compared to the radius of the coils. Current IA=−47mA is flowing through solenoid A and current IB=−58mA is flowing through solenoid B. Both solenoids have the same length l=57cm and the same number of turns N=696.

 

Note: positive sign of the current is the direction of the flow of the current shown in the figure.

a )Find the magnetic field in unit vector notation at point P due to the solenoid-A.

b) Find the net magnetic field in unit vector notation at point P due to both the solenoids.

We place a small magnet with magnetic dipole moment μ⃗ =(43.0i^+−53.0k^) Nm/T at point P. It will experience a rotational force due to the net magnetic field set up by the solenoids at P.

c)Find the torque on the magnetic dipole in unit vector notation at point P due to the solenoids.

Now, we replace the currents in solenoid-A and solenoid-B by the reversed sign i.e. IA→−IA and IB→−IB. Find the net magnetic field at P due to the solenoids. Hence, find the torque on the small dipole magnet.

d)Find the net magnetic field in unit vector notation at point P due to both the solenoids.

e)Find the torque on the magnetic dipole in unit vector notation at point P due to the solenoids.

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IA
Transcribed Image Text:IB IA
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