1. A wire lying along an x axis from x = 0 to x = 1.00m carries a ccurrent of 3.00 A in the positive x direction. The wire is immersed in a nonuniform magnetic field that is given by B = (4.00T/m²)x²i – (0.500 T/m²)x² j. In unit-vector notation, what is the magnetic force on the wire? (See problem 84, chapter 28 in Fundamentals of Physics)

64.0 cm In an experiment, a particle that has a mass of 6.80 x 1027 kg enters a uniform and out-of- the-page direction magnetic field of 0.350 T and is bent in a semi-circle of diameter 64.0 cm as shown in the figure. If the particle is moving with a speed of 5.40 x 105 m/s, what is the magnitude and sign of particle's charge? O +1.64 x 10-19 C O-1.31 x 10-18 C +8.85 x 10-13 C + 1.31 x 10-18 C 100 O O Not enough information - 8.85 x 10-13 C + 6.10 x 10-18 C - 6.10 x 10-18 C +3.28 x 10-19 C 1.64 x 10-17 C - 3.28 x 10-1⁹ C

Two long straight current-carrying wires are lined up parallel to one another at a distance dd. Currents of 4 A and 2 A flow through the wires, both in the same direction generating the field of 8.7x10-6 T at a midpoint between them. Calculate the distance between the wires. Give your answer in SI units. Use μ0=4π×10−7μ0=4π×10−7 Hm-1.

A solenoid 3.0 cm long consists of 9000 loops of wire. If the magnetic field inside the solenoid is measured as 1.0 T, what is the magnitude of the current that flows through it? a 0.037 A b 0.37 A c 2.65 A d 3.05 A e 0.58 A