Question

Options for first blank: V=PR V=(PR)^(1/2) V=P^2R Options for second blank 16 5 4

Answer 1

The formula to find the voltage is:

`v=√(P*R)`

And the voltage is 4 volts

Explanation:

To get the equation of voltage you need to isolate v in one side of the equation. In order to do that, you need to remove the divisor/denominator and its square. How will you do that?

First, multiply both sides with R:

`P*R=(v^(2) )/(R) *R`

That would result into removing the divisor R from the right side of the equation:

`P*R=v^(2)`

Next, square-root both sides:

`√(P*R) =\sqrt{v^(2) }`

That would result in removing the square of v from the right side of the equation:

`√(P*R) =v`

Thus we get the equation,
`v=√(P*R)`.

To find out the voltage, simply replace R with 32 and P with 0.5

`v=√(0.5*32)`

`r=√(16)`

`r=4`

Thus, the voltage is 4 volts.