Assignment:
1. Three point charges are located at the corners of an equilateral triangle as shown in Figure. Calculate the re-sultant electric force on the 7.00-μC charge.
2. Three charges are at the corners of an equilateral triangle as shown in Figure.
(a) Calculate the electric field at the position of the 2.00-μC charge due to the 7.00-μC and - 4.00-μC charges.
(b) Use your answer to part (a) to de¬termine the force on the 2.00-μC charge.
3. An electron and a proton are each placed at rest in an electric field of 520 N/C. Calculate the speed of each particle 48.0 ns after being released.
4. A proton accelerates from rest in a uniform electric field of 640 N/C. At some later time, its speed is 1.20 X 106 m/s (nonrelativistic, because v is much less than the speed of light).
(a) Find the acceleration of the proton.
(b) How long does it take the proton to reach this speed?
(c) How far has it moved in this time?
(d) What is its kinetic energy at this time?
5. A vertical electric field of magnitude 2.00 X 104 N/C exists above the Earth's surface on a day when a thunderstorm is brewing. A car with a rectangular size of 6.00 m by 3.00 m is traveling along a roadway sloping downward at 10.0°. Determine the electric flux through the bottom of the car.
6 Consider a closed triangular box resting within a horizon-tal electric field of magnitude E= 7.80 X 104 N/C as shown in Figure. Calculate the electric flux through (a) the vertical rectangular surface, (b) the slanted surface, and (c) the entire surface of the box.
7. Two point charges, Q1 = + 5.00 nC and Q2 = - 3.00 nC, are separated by 35.0 cm. (a) What is the potential energy of the pair? What is the significance of the algebraic sign of your answer? (b) What is the electric potential at a point midway between the charges?
8. The difference in potential between the accelerating plates in the electron gun of a TV picture tube is about 25 000 V. If the distance between these plates is 1.50 cm, what is the mag¬nitude of the uniform electric field in this region?
9. Two conductors having net charges of + 10.0 μC and - 10.0 μC have a potential difference of 10.0 V between them. (a) Determine the capacitance of the system. (b) What is the potential difference between the two conductors if the charges on each are increased to + 100 μC and - 100 μC?
10. Find the equivalent capacitance between points a and b in the combination of capacitors shown in Figure.
