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.
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.
Trending now
This is a popular solution!
Step by step
Solved in 2 steps