Please add a video of you holding your solutions as your answer.  After the test has been submitted, you also must scan a pdf or submit a photo of your work to a separate submission folder. A quarter circle of radius 50 cm has a +300 μC charge distributed uniformly as shown below.  The origin of the x-y axis is also the center of the circle and has a coordinate of (0,0).  a.) How does the electric potential at point B compare that the electric potential at point A.  Justify your response. (1 point) b.) What is the electric potential at the origin of the x-y axis? (1 point) c.) A proton (mass = 1.67 x 10-27 kg and charge = 1.6 x 10-19 C) starts from rest at the origin of the x-y axis.  What is the speed of the proton when it is very far away from its initial position? (1 point)  d.) On the diagram below, draw the direction of the electric field at the origin of the x-y axis. (1 point) e.) What is the magnitude of the electric field at the origin? (2 points)

A 1100 W hair dryer (R1) and a 1600 W space heater (R2) in parallel are plugged into a 120 V outlet.  What is the resistance of hair dryer?

A parallel plate capacitor that is initially uncharged has an area of 0.20 m2. The two plates are separated by 0.5 cm and connected to a 12 V battery.  What is the maximum charge stored on the capacitor if the dielectric between the two plates is air (kair = 1)?

What would be the angle in water (n=1.33) if light enters from air at 20°?

According to Gauss’s Law, what is the relationship between the electric field strength (E) and distance (r) to a point from an infinitely long plane sheet of a charged non-conductor? 

What happens to the flux caused by a single point charge enclosed by a surface if that charge is then moved outside of the surface?

In the circuit shown below, use the given information and Kirchoff’s Rules to find the unknown voltage, V, of the battery on the left.

A positive charge is moving north through a magnetic field pointed vertically upwards.  What direction will the positive charge feel a force?

In the circuit shown below, find the current through the 4 Ω resistor using Kirchoff’s Rules and the given information.

Determine the total capacitance of the four capacitors (C1 = C2 = 0.40 µF, C3 = 0.20 µF, and C4 = 0.60 µF) arranged in the circuit shown below: