1. A DC power line for a light-rail system carries 950 A at an angle of 33° to the Earth’s 5.00 × 10-5 T magnetic field. What is the magnitude of the force (in N) on a 125 m section of this line?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1.  A DC power line for a light-rail system carries 950 A at an angle of 33° to the Earth’s 5.00 × 10-5 T magnetic field.

What is the magnitude of the force (in N) on a 125 m section of this line? 

2. Consider a 150 turn square loop of wire 15.5 cm on a side that carries a 56 A current in a 1.6 T field.

What is the maximum torque on the loop of wire in N⋅m? 

What is the magnitude of the torque in N⋅m when the angle between the field and the normal to the plane of the loop θ is 14°? 

3.  Consider two two long, straight, parallel, current-carrying wires, separated by a distance d = 4.5 cm, as shown in the figure. The left wire is directed out of the page with current I1, and the right wire is directed into the page with current I2. The point P is a distance d from both wires, so the wires and the point form an equilateral triangle.

If both wires are carrying a current of 3.5 A, what is the magnitude of the magnetic field, in teslas, at point P? 

If the current from the left wire is 3.5 A and the current from the right is 13.5 A, what is the magnitude of the magnetic field, in teslas, at point P? 

 

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