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When an electron moves from A to B along...

When an electron moves from A to B along and electric field line as shown in Fig. the electric field does `3.94xx10^(-19)J` of work on it. What are the electric potential differences
`(V_(B) - V_(A)) , (V_(C) - V_(A)) , (V_(C) - V_(B))` ?

Text Solution

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Here, `q = e = -1.6xx10^(-19)C`
`Delta W = 3.94xx10^(-19) J`
By definition, `V_(B) - V_(A) = (-Delta W)/(q)`
`= (-3.94xx10^(-19))/(-1.6xx10^(-19)) = 2.46V`
Again, `V_(C) - V_(A) = V_(B) - V_(A) = 2.46 V`
`( :' V_(C) = V_(B))`
And, `V_(C) - V_(B) = 0` because points B and C lie on the same equipotential surface.
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