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CALC A Voice Coil. It was shown in Section 27.7 that the
Chapter 27, Problem 83P(choose chapter or problem)
CALC A Voice Coil. It was shown in Section 27.7 that the net force on a current loop in a uniform magnetic field is zero. The magnetic force on the voice coil of a loudspeaker (see Fig. 27.28) is nonzero because the magnetic field at the coil is not uniform. A voice coil in a loudspeaker has 50 turns of wire and a diameter of 1.56 cm, and the current in the coil is 0.950 A. Assume that the magnetic field at each point of the coil has a constant magnitude of 0.220 T and is directed at an angle of \(60.0^{\circ}\) outward from the normal to the plane of the coil (Fig. P27.83). Let the axis of the coil be in the \(y\)-direction. The current in the coil is in the direction shown (counterclockwise as viewed from a point above the coil on the \(y\)-axis). Calculate the magnitude and direction of the net magnetic force on the coil.
Equation Transcription:
Text Transcription:
60.0deg
y
y
60.0deg
60.0deg
Vector B
Vector B
Questions & Answers
QUESTION:
CALC A Voice Coil. It was shown in Section 27.7 that the net force on a current loop in a uniform magnetic field is zero. The magnetic force on the voice coil of a loudspeaker (see Fig. 27.28) is nonzero because the magnetic field at the coil is not uniform. A voice coil in a loudspeaker has 50 turns of wire and a diameter of 1.56 cm, and the current in the coil is 0.950 A. Assume that the magnetic field at each point of the coil has a constant magnitude of 0.220 T and is directed at an angle of \(60.0^{\circ}\) outward from the normal to the plane of the coil (Fig. P27.83). Let the axis of the coil be in the \(y\)-direction. The current in the coil is in the direction shown (counterclockwise as viewed from a point above the coil on the \(y\)-axis). Calculate the magnitude and direction of the net magnetic force on the coil.
Equation Transcription:
Text Transcription:
60.0deg
y
y
60.0deg
60.0deg
Vector B
Vector B
ANSWER:
Solution 83P
We need to calculate the magnitude and the direction of the net magnetic field. The current is counterclockwise. The required mathematical relation of the magnetic force is given by …..(1), where N is the number of turns in the coil, I is the current, B is the value of magnetic field, L is the length of the coil and is the angle between the normal to the coil and the magnetic field.
Given,