Need some checking on these Multiple choice questions

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catch22
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Homework Statement


Three vector field plots labelled A, B and C, each on axes from -2 to 2, showing arrows radiating outward from the origin under the heading Which field diagram represents F_x = x, F_y = y.

Vector field plot of many arrows on a grid from about -4 to 4 in x and -4 to 4 in y, arrows pointing toward the center; beside it, multiple-choice options a) through d) listing candidate force components.

Handwritten 'Question: #3' above four rows labelled A to D, each with a red plus-sign source charge and a black dot test charge, with charge values written above them: A +1e and +1e; B +2e and +5e; C +3e and +3e; D +4e and +1e.

Multiple-choice question: a line of charge of length L with linear charge density λ lying along the x axis from x = d, with five integral expressions for the electric field at the origin labelled a to e.


Diagram of five electric dipoles A to E between two charged plates, with vertical red field lines pointing up and labelled E-vector; each dipole shows a plus and a minus charge at different orientations.

For #5, I added option E, it's the same as B, but the charges are switched around.

Homework Equations

The Attempt at a Solution


[/B]

1) Even though A and B look similar, B seems more accurate. The arrows in the corner of A don't seem to point directly to the corner.

2) plugging in values for x and y, answer should be B

3) D, the electric field is independent of the test charge.

4) Most unsure with this one, but I think the answer is C because the bounds looks correct there.

5) So I added option E, but option B is my answer.
If I were to rank the dipoles from highest potential energy: B > E > A > C > D.
 
catch22 said:
1) Even though A and B look similar, B seems more accurate. The arrows in the corner of A don't seem to point directly to the corner.

2) plugging in values for x and y, answer should be B

3) D, the electric field is independent of the test charge.
Correct.
catch22 said:
4) Most unsure with this one, but I think the answer is C because the bounds looks correct there.
Right, as long as the integrand doesn't include a shift (e. g. (x-d)2 in the denominator).
catch22 said:
5) So I added option E, but option B is my answer.
If I were to rank the dipoles from highest potential energy: B > E > A > C > D.
How did you get that order? In particular, where is the difference between A and C, or D and E?
 
mfb said:
Correct.
Right, as long as the integrand doesn't include a shift (e. g. (x-d)2 in the denominator).
How did you get that order? In particular, where is the difference between A and C, or D and E?
I look at how far the negative charge is from the positive plate, as the distance increases, the potential increases. The same for positive charge from negative plate. Is the order wrong?
 
catch22 said:
I look at how far the negative charge is from the positive plate, as the distance increases, the potential increases. The same for positive charge from negative plate.
How do you combine the two different things then?
catch22 said:
Is the order wrong?
It is.
 
mfb said:
How do you combine the two different things then?
It is.
can you specify what two different things?
 
I look at how far the negative charge is from the positive plate, as the distance increases, the potential increases.
One.
The same for positive charge from negative plate.
Two
 
mfb said:
One.
Two
I don't know if my reasoning is correct, but for this case, that is what I used.
For example, look at B and E, the midpoints of each dipole is at the same height from the positive plate but B's negative charge is higher than the negative charge of E.

Again, I don't know the answer, I don't even know if my reasoning is right.
 
I think of the positive plate as the floor, and the negative charge is a baseball. If the baseball is higher up in the air, the potential energy is higher. If the baseball is on the floor, PE is 0.
 
Last edited:
Ok, after doing more reading on dipoles.

the order should be B>D> A=C

and E probably is between B and D? I'm not sure.
 
A=C is right.
Why D>A?

catch22 said:
I don't know if my reasoning is correct, but for this case, that is what I used.
Your explanation is missing something, so I don't know where the error is.
"I compare two persons by body height and by weight, and then rank them on a single scale" - how do you combine the two measurements to a single ranking system?