Answer:
The formula to find the voltage is:
[tex]v=\sqrt{P*R}[/tex]
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:
[tex]P*R=\frac{v^{2} }{R} *R[/tex]
That would result into removing the divisor R from the right side of the equation:
[tex]P*R=v^{2}[/tex]
Next, square-root both sides:
[tex]\sqrt{P*R} =\sqrt{v^{2} }[/tex]
That would result in removing the square of v from the right side of the equation:
[tex]\sqrt{P*R} =v[/tex]
Thus we get the equation, [tex]v=\sqrt{P*R}[/tex].
To find out the voltage, simply replace R with 32 and P with 0.5
[tex]v=\sqrt{0.5*32}[/tex]
[tex]r=\sqrt{16}[/tex]
[tex]r=4[/tex]
Thus, the voltage is 4 volts.
