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Physics Β· Unit 3 Β· Electromagnetism Β· Electrostatics

Solve problems involving the magnetic flux in an electric current-carrying loop using βˆ… = π΅π΄π‘π‘œπ‘ πœƒ.

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Question 1

A square coil of side length 15 cm is positioned in a uniform magnetic field of magnitude 8.0 mT. The plane of the coil makes an angle of 40Β° with the direction of the magnetic field. (a) Identify the angle \(\theta\) between the magnetic field vector and the normal to the plane of the coil. (1 mark) (b) Calculate the magnetic flux through the coil. Show your working. (2 marks)

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Question 2

A circular loop of wire with diameter \(12\) cm is placed in a uniform magnetic field of strength \(8.0\) mT. The plane of the loop makes an angle of \(40^\circ\) to the direction of the magnetic field. (a) Calculate the magnetic flux through the loop. \((1)\) (b) Determine the change in magnetic flux if the loop is then rotated so that its plane is perpendicular to the magnetic field. \((1)\)

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Question 3

A circular loop of wire has a radius of 8.0 cm and carries a current. The loop is placed in a uniform magnetic field of strength 0.25 T. The plane of the loop makes an angle of 60Β° to the magnetic field. What is the magnetic flux through the loop?

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