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Homework Questions/Problems

1/ A student asked, “Since electrical potential is always proportional to potential energy, why bother with the concept of potential at all?” How would you respond?

2/ It is easy to produce a potential difference of several thousand volts between your body and the floor by scuffing your shoes across a nylon carpet. When you touch a metal doorknob, you get a mild shock. Yet contact with a power line of comparable voltage would probably be fatal. Why is there a difference?

3/ A high-voltage dc power line falls on a car, so the entire metal body of the car is at a potential of 10000V with respect to the ground. What happens to the occupants (a) when they are sitting in the car and (b) when they step out of the car? Explain your reasoning.

4/ The electric field inside a hollow, uniformly charged sphere is zero. Does this imply that the potential is zero inside the sphere?

5/ If a negative charge is initially at rest in an electric field, will it move toward a region of higher potential or lower potential? What about a positive charge? How does the potential energy of the charge change in each instance?

6/ A charge of –4.0 µC is initially 40 cm from a fixed charge of –6.0 µC and is then moved to a position 90 cm from the fixed charge. a) What is the change in the mutual potential energy of the charges? b) Does the change depend on the path through which one charge is moved (justify the answer)?

7/ How much work is required to bring two charges of +3.0 µC and +5.0 µC that are separated by an infinite distance to a distance of 0.50 m?

8/ (a) Compute the energy necessary to bring the charges together into the configuration shown in figure 1? (b) What is the electric potential at the center of the triangle in figure 1?

q1 = +4.0 µC

Figure 1

20cm 20cm

20cm

q2 = +4.0 µC q3 = -4.0 µC

9/ Two electrons that are initially rest 10 cm apart are released. What will be their speed when they are 20 cm apart?

10/ In a television picture tube electron are accelerated from rest through potential difference of 10 kV in an electron gun. (a) What is the muzzle velocity of the electrons emerging from the gun? (b) If the gun is directed at a screen 35 cm away, how long does it take the electron to reach the screen?