Electricity and Magnetism Answers

 commuter airplane takes the route shown in Figure 3.20. First, it flies from the origin of the coordinate system shown to city A, located 175 km in a direction 30.0° north of east. Next, it flies 153 km 20.0° west of north to city B. Finally, it flies 195 km due west to city C. Find the location of city C relative to the origin. after landing in city C, the pilot wishes to return to the origin

along a single straight line. What are the components of the vector representing this displacement?

What should the heading of the plane be?

A commuter airplane takes the route shown in Figure 3.20. First, it flies from the origin of the coordinate system shown to city A, located 175 km in a direction 30.0° north of east. Next, it flies 153 km 20.0° west of north to city B. Finally, it flies 195 km due west to city C. After landing in city C, the pilot wishes to return to the origin along a straight line. What are the components of the vector representing this displacement? What should the heading of the plane be?

Problem 2.12 Use Gauss's law find the electric field inside a uniformly charged sphere (charge density p). Compare your answer to Prob. 2.8.

A person who works with large magnets sometimes places her head inside a strong

field. She reports feeling dizzy as she quickly turns her head. How might this be

associated with induction?

A ray of purple light hits the surface of a metal which has energy
threshold (2/3) times the energy quanta of violet light. If the frequency of the    purple light is 10^16 Hz and Plank's constant = 6.626.10^−34 , determine the kinetic energy of electrons escaping from the metal surface.

The primary winding of the welding transformer has 1000 turns and the secondary winding 110 turns. It is connected to the mains at a voltage of 230 V, giving a secondary current of 120 A. Assume an ideal welding transformer.

a) What is the primary current? How big a fuse should there be behind the socket to which the welding transformer is connected - which of the 10 A, 16 A or 20 A fuses is large enough?

b) What is the secondary voltage?

c) Why is the secondary current in the welding transformer desired high?

3. Among the following which can not be an electric field? E~ = c(xyi +2yzj +3xzk), E~ = c(y^2i + (2xy + z^2)j + 2yzk), where c is a constant.

What would be the dimension of c? (Problem 2.20 of Griffiths, 4th

edition)

2. Using Levi-Civita symbol, prove (A~ ×B~ )·C~ = (B~ ×C~ )·A~ = (C~ ×A~)·B~

1. Verify Stock’s theorem for F~ = x^2i+xyj, where s is the area bonded by

a triangle whose vertices are at (0, 0), (1, −1) and (1, 1), respectively.