Electrostatics Multiple Choice Questions

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The discussion centers on multiple-choice questions related to electrostatics, specifically focusing on capacitors, electric fields, and charge arrangements. For the first question, the voltage across the resistor is initially equal to the EMF of the battery, but this changes as the capacitor charges. In the second question, the electric field's magnitude is greatest at the point closest to the source, with the participant selecting point C based on this reasoning. The third question involves determining where the electric field is zero among four charges, with the participant incorrectly identifying points D and A as correct. The conversation highlights the need for clarification on the electric field's behavior in relation to charge distributions.
bap902
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I bolded the answer I think is correct - I'm just a little unsure on these, any help would be appreciated!

1. A capacitor and resistor are connected in a series with a batter and a switch. The instant after the switch is closed

A. the voltage across the resistor is equal to the emf of the battery
B. the voltage across the capacitor is equal to the emf of the battery
C. the voltage across the resistor is equal to zero
D. the current is equal to zero
E. both A and B are correct

2. The figure below shows a set of equipotential lines. The electric field has the greatest magnitude at point

http://img136.imageshack.us/img136/623/diagram1ks6.png

A. A
B. B
C. C
D. D
E. E

3. Four charges are arranged on the corners of a square as shown below:

http://img126.imageshack.us/img126/1994/diagram2zb7.png

At which point (or points) is the electric field equal to zero?

A. B and E
B. D and A
C. A and C
D. A and B
E. E only
 
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Please can you explain your reasoning as to how you came to your answers?
 
For question #1, I chose that the voltage across the resistor is equal to the EMF of the battery because the EMF of the battery directly relates to the voltage of electrical energy. It is the voltage that is connected with the behavior of the resistance and the capacitor.

For #2, I read online that the electric field has the greatest magnitude at the point closest to the source. The magnitude decreases as the distance from a location to the source increases. I chose C, because it is closest to the smallest equipotential line, which I figured was the initial source.

I chose D and A for question #3 because if the charges are of equal magnitude, then the field is zero halfway between them.
 
bap902 said:
For question #1, I chose that the voltage across the resistor is equal to the EMF of the battery because the EMF of the battery directly relates to the voltage of electrical energy. It is the voltage that is connected with the behavior of the resistance and the capacitor.

Correct, although as the capacitor charges the voltage across the resistor will decrese.
bap902 said:
For #2, I read online that the electric field has the greatest magnitude at the point closest to the source. The magnitude decreases as the distance from a location to the source increases. I chose C, because it is closest to the smallest equipotential line, which I figured was the initial source.

I think this is right.
bap902 said:
I chose D and A for question #3 because if the charges are of equal magnitude, then the field is zero halfway between them.

This is definitely wrong. If you placed a charge at either of these points it would certianly move. See the below sight, set up your charges and look at the field lines. You want a region with no filed lines going through it.

http://www.its.caltech.edu/~phys1/java/phys1/EField/EField.html
 
Thanks! I couldn't get the site to work on my internet for some reason (nothing would load) so any additional help on #3 would be appreciated.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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