Part B (50 Points): Explain and show your work for the following problems. 1. (10 points) What are the magnetic field strength and direction at points a, b and c in the figure below? a . 2.0 cm 10 A b. 4.0 cm 10 A 2.0 cm C.2. (10 points) The value of the line integral of the magnetic field around a closed path in the figure below is 5.03 x 10" Tm. What is Is? O 12 = 6.0 A 1 = 2.0 A3. (10 points) A proton moves in the magnetic field B = 1.5/T with a speed of 1.0 x 10' m/s in the direction shown in the figure below. For each, what is the magnetic force F on the proton? Give your answers in component form. (a) 459 (b)4. (10 points) The following figure shows a 10-cm-diameter loop in three different magnetic fields. The loop's resistance is 0.25 Ohms. For each situation, determine the magnitude and direction of the induced current. X x Xx x x x x x X X Xi x x X x xx x a) Increasing at 0.5 T/'s b) Decreasing at 0.5 T/s c) Decreasing at 0.5 T/s5. (10 points) What is the magnetic flux through the loop in the figure below? XXXX . X XXX . 2.0 T 20 cm X X X . X XXX . X XXX . 20 cm 20 cm