Shough784
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Given that 1 joule = 1 newton × 1 meter and 1 volt = 1 joule per coulomb, show that the units
newtons/coulomb and volts/meter are equivalent.



Answer :

You have two equations:
1st: [tex]1J=1N*1m[/tex]
and
2nd: [tex]1V=\frac{1J}{1C}[/tex]

from the second equation you can extract Joule:
[tex]1J=1V*1C[/tex]
you compare right side of the equation above to the right side of the 1s equation:
[tex]1V*1C=1N*1m[/tex]

then you devide both sides by 1C and by 1m and you get:
[tex]\frac{1V}{1m}=\frac{1N}{1C}[/tex]

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