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Two point charges q 1=+2.70nC and q 2=6.30nC are 0.100 m apart. Point A is midwa

ID: 1532417 • Letter: T

Question

Two point charges q1=+2.70nC and q2=6.30nC are 0.100 m apart. Point A is midway between them; point B is 0.080 m from q1 and 0.060 m from q2. (See (Figure 1) .) Take the electric potential to be zero at infinity.

Find the potential at point A.

Express your answer in volts to three significant figures.

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Part B

Find the potential at point B.

Express your answer in volts to three significant figures.

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Part C

Find the work done by the electric field on a charge of 2.25 nC that travels from point B to point A.

Express your answer in joules to two significant figures.

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V =   V  

Explanation / Answer

a)
VA = V1A + V2A
= kq1/r1A + kq2/r2A
= 8.99*10^9 * [((2.70*10^-9)/0.05) + ((-6.30*10^-9)/0.05)]
= -647 J/C

b)
VB = V1B + V2B
= kq1/r1B + kq2/r2B
= 8.99*10^9 * [((2.70*10^-9)/0.08) + ((-6.30*10^-9)/0.06)]
= -640.5 J/C

c)
UBA = qVBA = q(VA VB)
= 2.25*10^-9*(-647.3+640.5)
= -15 nJ

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