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.

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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.

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Answer

Step 1

The magnetic field due to a current carrying solenoid is 

$B =\mu o n I$

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 

$$\begin{gathered} B = \mu o \frac{N}{L}I \\ B = 4\pi \times {10}^{-7}\times \frac{16}{0.5}\times 2 \\ B = 8.04\times {10}^{-5} T \end{gathered}$$