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PHYS 354 Electricity and Magnetism II Problem Set #1 1. Vector Calculus Show that 1 x xy xy 3 xy where x is the field coordinate and y is the source coordinate. 2. Biot-Savart Law in differential form Show that the Biot-Savart Law in integral form Bx 0 4 xy d y J y x y 3 3 can be reduced to the magnetostatic differential form used by Maxwell B 0 J . 3. Magnetic Vector Potential Two long, thin, straight wires parallel to the z-axis carry currents I and I . Calculate the vector potential A by integrating both wires from z a to z b and letting a, b . Show that A is parallel to the z-axis and that the expression for A in terms of r1 and r2 (the distances from the two wires) is 2 I r A 0 ln 2 kˆ . 4 r1