Question

What is physical quantity to prove volt/meter=Newton/coulomb?

Answer 1

V/m ===> Equivalent to N/C

As we know that Voltage is equal to the work done on per unit charge so V= W/q ....now the S.I unit of work is Joule, its denoted by J and the unit of charge is coulomb, its denoted by C. so .....

V= W/q ==> J/C.......(i)

where as......... W= F.d   ====> S.I unit is  ( N.m )  putt in eq;( i) and   in terms of unit of the Electric field  E=V/m .......(ii).  compare eq; (i) and (ii) as

N .m/C.m ===> N/C.

hence proved that the both units are the same physical quantity which is Electric Field (E).

hope it helps you