Answer to Question #172443 in Physics for Ashley

Question #172443

The 1400-turn coil in a dc motor has an area per turn of 1.2 × 10-2 m2. The design for the motor specifies that the magnitude of the maximum torque is 3.5 N·m when the coil is placed in a 0.23-T magnetic field. What is the current in the coil?


1
Expert's answer
2021-03-21T11:37:42-0400
τmax=NIABsinθ,\tau_{max}=NIABsin\theta,I=τmaxNABsinθ,I=\dfrac{\tau_{max}}{NABsin\theta},I=3.5 Nm14001.2102 m20.23 Tsin90=0.9 A.I=\dfrac{3.5\ N\cdot m}{1400\cdot1.2\cdot10^{-2}\ m^2\cdot0.23\ T\cdot sin90^{\circ}}=0.9\ A.

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