Question

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

Answer 1

Answer:

The formula to find the voltage is:

$v=\sqrt{P*R}$

And the voltage is 4 volts

Step-by-step 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:

$P*R=\frac{v^{2} }{R} *R$

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

$P*R=v^{2}$

Next, square-root both sides:

$\sqrt{P*R} =\sqrt{v^{2} }$

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

$\sqrt{P*R} =v$

Thus we get the equation, $v=\sqrt{P*R}$.

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

$v=\sqrt{0.5*32}$

$r=\sqrt{16}$

$r=4$

Thus, the voltage is 4 volts.