Electrostatics AP Penner 1

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Four charges are placed at the corners of a square of sides 2a as shown above. What is the magnitude and direction of the electric field at the origin?

• $\frac{kq\sqrt{2}}{a^2}\ left$

• $\frac{kq\sqrt{2}}{a^2}\ right$

• $\frac{4kq\sqrt{2}}{a^2}\ left$

• $\frac{4kq\sqrt{2}}{a^2}\ right$

• $\frac{kq\sqrt{2}}{4a^2}\ right$

Four charges are placed at the corners of a square of sides 2a as shown above. What is the electric potential at the origin?

• zero

•  $\frac{kq}{\sqrt{2}}$  
  

•  $\frac{4kq}{\sqrt{2}}$  
  

•  $\frac{-kq}{\sqrt{2}}$  
  

•  $\frac{-4kq}{\sqrt{2}}$  
  

An electron is released in an area of space occupied by an electric field. Which of the following statements is true?

• The electron will move from high to low potential

• The electron will feel a force in the direction of the electric field

• The electron will move parallel to the equipotential lines

• The field will do work on the electron

• The electron will accelerate at a rate directly proportional to its mass

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An insulator plate is rubbed with a cloth to give it a charge. A conducting plate, attached to an insulating handle, is then placed on top to the insulator and briefly grounded by touching it. The conductor is held by the handle and lifted from the insulator plate. Which of the following is true?

• After grounding, the insulator plate is no longer charged

• After grounding, the conductor has no charge

• The cloth used to rub the insulator plate has no charge

• The cloth and the conducting plate will be attracted to each other

• The cloth and the conducting plate will be repelled by each other

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An asymmetrically shaped conducting shell is uncharged and contains an isolated point charge +q inside as shown. Which of the following statements is true?

• The electric field outside the shell is greatest at the tip of the shell

• The electric field just above the surface of the conductor is 0

• There electric field between the charge and the shell is 0

• The electric potential between the charge and the shell is 0

• There are no charges located on the interior of the conductor shell surface

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A proton is traveling to the left when in enters the space between two charged plates as shown. Which path will the proton take?

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• D