A=23 B=33 C=133 Q1. Two very long, straight, parallel wires carry currents il= 5.0A and i2-2.0A are separated distance B cm as shown in the figure. a. Draw the FBD of magnetic fields at P, the midpoint between two wires? (12points) b. Calculate magnetic field at P due to in, what is the direction (angle w.r.t +X)? (12points) c. Calculate magnetic field at P due to iz, what is the direction (angle w.r.t +X)? (12 points) d. What is the total magnitude and direction of the magnetic field at point P? (12 points) e. If you project a proton (charge 1.602 x10-19 C) with speed of A x10 m/s perpendicular to net magnetic field at P, calculate the magnetic force on the proton and find its direction by drawing the perpendicular direction of the speed that you choose and magnetic field you calculated above. What will be the particle acceleration? (12 points) f. The right figure shows a circuit consisting of concentric half circular arcs of radii ri and r2 that carries the current I= - A. Calculate the magnetic field at the center if 2r1=12 = 0.20m. What direction it will be? (13 Points) g. A moveable massless and frictionless bar with a length of /= 0.25 m is being moved at a constant velocity of m/s from left to right along two conducting rails as shown in the Figure below. If the system is immersed in a uniform magnetic field of 0.003 T as shown, calculate the induced current if the resistance R is 2.0 $2 (6 points). What is its direction (CCW or CW), you should explain which right-hand rule, which law and how you conclude the direction in your words to receive full credit. (6Points) h. Unpolarized light with intensity lo is incident on set of polarizing sheets. The first sheet has its transmission axis oriented at 0 and the second polarizer has its transmission axis oriented at Bo and third polarizer has its transmission axis oriented at 90 All angles are given with respect to +X axis. Determine the fraction of light intensity exiting from the last sheet? (15 Points)