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

ID: 2139893 • Letter: H

Question

he lines show the equipotential contours in the plane of three point charges, Q1, Q2, and Q3. The values of the potentials are in kV as indicated for the +5, 0, and -5 kV contours. The positions of the charges are indicated by the dots. (Give ALL correct answers, i.e., B, AC, BCD...)


The letters are on the equipotential contours.

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The letters are on the equipotential contours.

A) Charge Q3 has the largest magnitude of all.
B) The force on a proton at g points to the bottom of the page.
C) Charge Q2 is the largest negative charge.
D) The electric field at i is stronger than at j.
E) Q1 is a negative charge.
F) The electric field at k is zero.


-I got ADE as the corect answer but need help with the following.


1.Calculate the work performed by an external agent to move a charge of -0.47x10-12 C from `i' to `b'.


2.Calculate the magnitude of the electric field at `g' .

3.Calculate the magnitude of the force on a charge of 8.00E-19 C at `k'.


4.Calculate the magnitude of Q3. The magnitudes of the three charges are in the exact ratios of 1 to 2 to 3.


Explanation / Answer

q = GivenTwo points givenWork is de?ned as ?W = qEl.


But El is just the negative of the change involtage.


That is,?W = ?q?V------------------------->W = q?V


Where ?V is the potential di?erence between the two potential lines each pointlies on.



The electric ?eld is given asE = ?dVdl which can be approximated asE = ??V?l


Thus, ?nd the potential di?erence between the two potential lines nearest to thepoint requested and measure the distance between them.


Only measure the distance perpendicular to both (that is, along a line that perpendicularly intersectseach nearby curve).


The letter should be somewhere near where that line willbe. Remember to convert the distance to meters, and plug in the equation.



q = GivenForce is equal toF = qE


Although it would be nice to think we could use the electric ?eld calculated inpart (8), we can