The lines show equipotential contours in the plane of three point charges, Q 1 ,

Question

The lines show equipotential contours in the plane of three point charges, Q1, Q2, and Q3. The positions of the charges are marked by dots. The values of the potentials are in kilovolts as indicated, e.g., +5 kV, ?5 kV; the contour interval is 1 kV. The letters denote locations on the contours. For distances use the scale below the picture, to an appropriate accuracy. Select all the correct statements, e.g., AB.

QUESTION 1.

A.Charge Q2 has the largest magnitude.

B. The electric field at a is stronger than at d.

C. The force on a proton at g points to the bottom of the page.

D. The electric field at f is zero.

E. Charge Q3 is the largest positive charge.

F. Q3 is a positive charge.

Hint: The potential near a point charge decreases as 1/distance from the charge. The distance at which the potentials have a given value tells the size and sign of the charges involved.

QUESTION 2.  Calculate the work required to move a charge of -6.30

Explanation / Answer

1.

a. False , as shown on a concept test, Q3 has the largest magnitude potential at
the farthest distance from itself making it the largest charge. hence Q2 has not largest magnitude.

b. False, d is closer to a charge than is a so it has a larger potential.

c. False, as we know dat a proton will always want to move away from the positive charge near the
bottom of the page; thus the force would be toward the top.

d. False, the potential is not the field. The field describes the change in potential. Although potential is 0 at f but field is not.

e. True , Q3 has the largest magnitude potential at
the farthest distance from itself making it the largest charge.

f. True , positive potential surrounds positive charge..

2. To calculate the work done, we can use the fact that Wext = delta U and that

delta U = q delta V
.
To find the change in voltage, we can find the voltage at each point and subtract.

3. Electric field is basically E = -dv/dl

which is E = delta V/ delta l

For distance only measure the distance
perpendicular to both (that is, along a line that perpendicularly intersects
each nearby curve). The letter should be somewhere near where that line will
be. Remember to convert the distance to meters, and plug in the equation....

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