Problem Set 7.pdf

# Problem Set 7.pdf - ProblemSet7 1.Four,long,....

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Problem Set 7 1. Four, long, parallel power lines each carry 100A currents. A cross‐sectional diagram of these lines is a square, 20.0cm on each side. For each of the three cases shown, calculate the magnetic field at the center of the square. 2. Three parallel wires each carry current ܫ in the directions shown. If the separation between adjacent wires is ݀ , calculate the magnitude and direction of the net magnetic force per unit length on each wire. 3. The figure shows an end view of two long, parallel wires perpendicular to the ݔݕ ‐plane, each carrying current ܫ but in opposite directions. a) Copy the diagram and draw vectors to show the ܤ ሬԦ field of each wire and the net ܤ ሬԦ field at point ܲ . b) Derive the expression for the magnitude of ܤ ሬԦ at any point on the ݔ axis in terms of the ݔ ‐coordinate of the point. What is the direction of ܤ ሬԦ ?

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4. A 15.0cm long solenoid with radius 0.750cm is closely wound with 600 turns of wire. The current in the windings is 8.00A . Compute the magnetic field at a point near the center of the solenoid. 5. A coaxial cable (sometimes called a “coax”) is a long, layered cylindrical wire. You might find a coax attached to the back of your TV.
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