Electric Field and Potential AP C

A solid conducting sphere is given a positive charge Q. How is the charge Q distributed in or on the sphere?

•  It is concentrated at the center of the sphere. 

• It is uniformly distributed throughout the sphere. 

• Its density decreases radially outward from the center. 

• Its density increases radially outward from the center. 

• It is uniformly distributed on the surface of the sphere only. 

One joule of work is needed to move one Coulomb of charge from one point to another with no change in  velocity. Which of the following is true between the two points? 

• The resistance is one ohm.

• The current is one ampere.  

• The potential difference is one volt.

• The electric field strength is one newton per coulomb.  

• The electric field strength is one joule per electron. 

Two identical conducting spheres are charged to +2Q and –Q. respectively, and are separated by a distance d  (much greater than the radii of the spheres) as shown above. The magnitude of the force of attraction on the left  sphere is F1. After the two spheres are made to touch and then are re-separated by distance d, the magnitude of  the force on the left sphere is F2. Which of the following relationships is correct? 

Two conducting spheres of different radii, as shown above, each have charge –Q. Which of the following  occurs when the two spheres are connected with a conducting wire? 

• No charge flows. 

• Negative charge flows from the larger sphere to the smaller sphere until the electric field at the surface of   each sphere is the same. 

• Negative charge flows from the larger sphere to the smaller sphere until the electric potential of each   sphere is the same. 

• Negative charge flows from the smaller sphere to the larger sphere until the electric field at the surface of   each sphere is the same. 

• Negative charge flows from the smaller sphere to the larger sphere until the electric potential of each   sphere is the same. 

The hollow metal sphere shown is positively charged. Point C is the center of the sphere and point P is any other point within the sphere. Which of the following is true of the electric field at these points? 

• It is zero at both points.  

   

• It is zero at C, but at P it is not zero and is directed inward.  

• It is zero at C, but at P it is not zero and is directed outward.  

• It is zero at P, but at C it is not zero. 

• It is not zero at either point. 

An electron e and a proton p are simultaneously released from rest in a uniform electric field E, as shown above.  Assume that the particles are sufficiently far apart so that the only force acting on each particle after it is  released is that due to the electric field. At a later time when the particles are still in the field, the electron and  the proton will have the same 

• direction of motion 

• speed 

• displacement 

• magnitude of acceleration  

• magnitude of force acting on them

Two large, flat, parallel, conducting plates are 0.04 m apart, as shown above. The lower plate is at a potential of  2 V with respect to ground. The upper plate is at a potential of 10 V with respect to ground. Point P is located  0.01 m above the lower plate. 

The electric potential at point P is 

• 10 V  

• 8 V

• 6 V

• 4 V

• 2 V

A hollow metal sphere 1.0 m in diameter carries a charge of 4.0 μC. The electric field at a distance of 2.0 m  from the center of the sphere is most nearly