Question

How many volts would it take to push 1 amp through a resistance of 1 ohm?

Answer 1

V=I x R so V= 1 x 1 =1V

Answer 2

Answer:

$1\; \rm V$.

Explanation:

Ohm's Law give the following relationship between the potential $V$ across a conductor, the electrical resistance $R$ of that conductor, and the current $I$ through that conductor:

$V = I \, R$.

It is given that the current through this conductor is $I = 1\; {\rm A}$, and that the electrical resistance of this conductor is $R = 1\; \rm \Omega$.

Note, that the unit of electrical resistance Ohm is a composite unit; $1\; {\rm \Omega} = 1\; {\rm V \cdot A^{-1}}$ (volts per ampere.)

Substitute the value of $I$ and $R$ into the equation $V = I \, R$ from Ohm's Law to find the potential across this conductor:

$\begin{aligned}V &= I \, R \\ &= 1\; {\rm A} \times 1\; {\rm \Omega} \\ &= 1\; {\rm A} \times 1\; {\rm V \cdot A^{-1}} \\ &= 1\; {\rm V}\end{aligned}$.