You are designing a new solenoid and experimenting with material for each turn.

Question

You are designing a new solenoid and experimenting with material for each turn. The particular turn you are working with is a circular loop of radius 5.00 cm thet carries a current of 17.0 A. Calculate the magnetic field B at the center of the loop. Consider the corrdinate system in the figure. If the circular loop lies in the xy plane and if the current flows clockwise around the loop, which direction does the magnetic field point inside the loop? positive z negative y negative z positive x if we decrease the radius the magnetic field will.

Explanation / Answer

Magnitude of field at centre of loop:

B = u0 I / 2R

B = (4pi x 10^-7 x 17 ) / (2 x 0.05)   = 2.136 x 10^-4 T ....Ans

direction -> curling finger of right hand in the direction of current then thumb will give direction ]
of field.

ANs. Negative z

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