# Paths Through a Uniform Magnetic Field, Solenoids and Net Magnetic Field

1) The figure (*see attachment) shows 11 paths through a region of uniform magnetic field. One path is a straight line; the rest are half circles. The table (*see attachment) gives the masses, charges and speeds of the 11 particles that take these paths through the field in the direction shown. Which path corresponds to which particle in the table?

2) The following table (*see attachment) gives the number of turns per unit length, n, and the current, I, through six ideal solenoids of different radii. You want to combine them concentrically to produce a net magnetic field of zero along the central axis. Can this be done with (a) two of them, (b) three of them, (c) four of them, (d) five of them, (e) six of them? If so, answer by listing which solenoids are to be used and indicate the direction of the currents.

3) Two long parallel wires which are separated by a distance of 18 cm carry currents of 7A and 8A. (a) Where is the net magnetic field zero? (i.e. how many cm from the midpoint between the two wires is the magnetic field=zero?) (b) what is the B-field at a point 5cm to the left of wire 1 and 5cm below both wires?

4) In the figure (*see attached), E = 100 V, R1 = 20 ohms, R3 = 30 ohms and L = 2 H. Find the values of I1 and I2 (a) immediately after closing the switch S, (b) a long time after switch S is closed, (c) immediately after switch S is opened and (d) a long time after switch S is opened.

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This solution is provided in 1,442 words and attached in both .doc and .pdf format. References and diagrams are used to enhance learning and equations are used to solve each problem.