A 200 turn, 4.0 cm diameter solenoid is placed in a magnetic field of 0.45 T pointing into the page. The solenoid has resistance 4.0 2. The magnetic field reverses in direction in 0.22 s while maintaining its magnitude. a. What direction is the induced current? b. What is the magnitude of the induced current?

a. The magnitude of the magnetic field at a distance R from a long straight wire is equal to B. At what distance will the magnitude of the magnetic field be equal to 3B? b. Two long parallel wires carry equal but opposite currents. Are there any points in space where the total magnetic field is equal to zero? If so, where? If not, why not? C. A simple loop circuit contains two sources, a resistive wire, and a switch. It is placed next to a long straight wire carrying a steady current. As soon as the switch is closed, the loop is suddenly pulled towards the long wire. Which source has a greater emf? Justify your answer. eHe E2

3. The N and S pole faces of a bent cylinder magnet form are separated from one another by a small gap, forming the magnetic analogue of a parallel plate capacitor. Positive magnetic charge is uniformly distributed on the north pole face and negative magnetic charge is uniformly distributed on the south pole face. If the magnetic field B in the gap is 0.2 Tesla, what is the magnetic surface charge density on each of the two pole faces? If the radius of the pole faces is 4.0 cm, what is the force of attraction between them?

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