How Is Charge q2 Calculated Using Electric Potential and Field Equations?

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SUMMARY

The calculation of charge q2 in the context of electric potential and field equations involves two charges, q1 = +4.5nC and an unknown q2, positioned at distances d1 = 2.5cm and d2 = 2.0cm from a point with a potential of 3.2kV. The relevant equation for electric field E is E = kQ/r². The correct approach requires incorporating the potential difference, leading to the correct value of q2 being 3.5nC, rather than the incorrect initial calculation of 1.28μC.

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Have exam tomorrow. I know I should have studied before and more, but please help. If you know the answer, please take some time to reply. Thanks very much.

Homework Statement



There are two charges, q1 = +4.5nC, and q2, ?, which are at distances d1 = 2.5cm and d2 = 2.0cm, from a point which has the tension of 3.2kV. What is the value of q2?

Homework Equations



[tex]E = \frac{kQ}{r^2}[/tex], I think that's all, but I most probably am wrong.

The Attempt at a Solution



This is certainly wrong. I have not even used one of the data given. Anyone, that's the best I was able to come up with.

[tex]\frac{kq_1}{r_1^2} = \frac{kq_2}{r_2^2}[/tex]

which gives [tex]q_2 = 1.28 * 10^{-6}[/tex] which is a wrong answer, since the correct one is supposed to be [tex]3.5nC[/tex].
 
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You have not used that the potential difference U is 3.2 kV.
What does potential have to do with (difference in) electric field E?
 

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