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If 1 joule of work is done to move a charge of 1 coulomb from one point to another, then the potential difference across those points is _____.
1. 1 hertz
2. 1 tesla
3. 1 ampere
4. 1 volt

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Correct Answer - Option 4 : 1 volt

CONCEPT:

Electric potential (V):

  • The potential difference between two points in an electric field may be defined as the amount of work done in moving a unit positive charge from one point to the other against the electrostatic force i.e.,

\({\rm{Electric\;potential\;}}\left( {\rm{V}} \right) = \frac{{{\rm{Work\;done\;}}\left( {\rm{W}} \right)}}{{{\rm{Charge\;}}\left( {\rm{q}} \right)}}\)

  • The electric potential V at a point P due to point charge +q at a distance r is given by

\(V=\frac{1}{{4{\rm{\Pi }}\varepsilon_o }}\frac{q}{r}\)     

EXPLANATION:

​Given - Work done (W) = 1 joule and charge (q) = 1 C

  • The potential difference across those points is

\(\Rightarrow {\rm{Electric\;potential\;}}\left( {\rm{V}} \right) = \frac{1\, J}{1\, C}=1\, J/C=1 \, Volt\)

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