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

`1\; \rm V`.

Step-by-step 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} * 1\; {\rm \Omega} \\ &= 1\; {\rm A} * 1\; {\rm V \cdot A^(-1)} \\ &= 1\; {\rm V}\end{aligned}`.