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A 0.5-meter solenoid has 16 loops and carries 2.0 A current in the direction shown in the figure below. If the observer can see the magnetic field lines from the position indicated in the figure: a. Draw the appearance of the magnetic field lines as seen by the observer at that position. b. Calculate for the magnitude of the magnetic field produced by the current- carrying loop.

 Question

1. A 0.5-meter solenoid has 16 loops and carries 2.0 A current in the direction shown in the figure below. If the observer can see the magnetic field lines from the position indicated in the figure: a. Draw the appearance of the magnetic field lines as seen by the observer at that position. b. Calculate for the magnitude of the magnetic field produced by the current- carrying loop.

Image Transcription

1. A 0.5-meter solenoid has 16 loops and carries 2.0 A current in the direction shown in the figure below. If the observer can see the magnetic field lines from the position indicated in the figure: a. Draw the appearance of the magnetic field lines as seen by the observer at that position. b. Calculate for the magnitude of the magnetic field produced by the current- carrying loop.

Answer
Step 1

The magnetic field due to a current carrying solenoid is 

B =μo n I

where, n is the number of turns per unit length, I is the current. 

Step 2

(a) The direction of magnetic field is given by the Maxwell's right hand rule , which is inwards from the point of observer. 

(b) Number of loops, N = 16 

length, L = 0.5 m

Current, I = 2 A

The magnetic field is given by 

B = μo NLIB = 4π×10-7×160.5×2B = 8.04×10-5 T

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