A single-turn square loop of side L is centered on the axis of a long solenoid.

Question

A single-turn square loop of side L is centered on the axis of a long solenoid. In addition, the plane of the square loop is perpendicular to the axis of the solenoid. The solenoid has 1240 turns per meter and a diameter of 7.33 cm, and carries a current of 3.62 A.

a) Calculate the magnetic flux through the loop when L = 2.64 cm.

b)Calculate the magnetic flux through the loop when L = 7.33cm.

Hint:Draw a careful picture of the square loop and the solenoid in each of the three cases, showing where they are and how big they are relative to each other. What's different about the first case compared to the other two?

Explanation / Answer

Magnetic Flux is determined by: B = µNI / h where µ is the magnetic constant (4p×10^-7 H/m), h is the height of the loop

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