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# Show that the unit Vm-1 (volt per meter) is equivalent to NC-1(newtons per coulomb)?

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- 1 decade agoFavorite Answer
F(Newtons) = kQ*Q / r^2 ........coulombs law

=> N/C=F(newtons)/Q = kQ / r^2 .......1

F/Q= E(Electric field) = kQ / r^2

=>V(Electric potential) = E*r ............2

From 1 and 2

F/Q = V/r = (volt /meter) = (newtons/coulombs)

Hence proved (volt per meter) is equivalent to (newtons per coulomb)

Source(s): Fundamentals of Physics (David Halliday, Robert Resnick, and Jearl Walker) - Anonymous5 years ago
That's an interesting question!

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- Anonymous5 years ago
Thanks! very valuable information and this gives me better knowledge on this topic

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