Answered

Find the best answers to your questions at Westonci.ca, where experts and enthusiasts provide accurate, reliable information. Connect with professionals ready to provide precise answers to your questions on our comprehensive Q&A platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Select the correct answer from each drop-down menu.

Rewrite the formula to find voltage.

The formula for electrical power (\(P\), in watts) is \( P = \frac{V^2}{R} \), where \(V\) is the voltage in volts and \(R\) is the resistance in ohms. For a particular brand of water heater, \(R\) is 32 ohms and \(P\) is 0.5 watts.

The formula to find [tex]\(V\)[/tex] is [tex]\(\square\)[/tex], and the voltage at which the heater operates is [tex]\(\square\)[/tex] volts.

Sagot :

GinnyAnswer
To solve for the voltage \( V \) given the power \( P \) and resistance \( R \), we start with the formula for electrical power:

[tex]\[ P = \frac{V^2}{R} \][/tex]

We need to isolate \( V \) in this equation. Begin by multiplying both sides of the equation by \( R \) to get rid of the denominator:

[tex]\[ P \times R = V^2 \][/tex]

Next, solve for \( V \) by taking the square root of both sides:

[tex]\[ V = \sqrt{P \times R} \][/tex]

Therefore, the formula to find \( V \) is:

[tex]\[ V = \sqrt{P \times R} \][/tex]

Given that \( P = 0.5 \) watts and \( R = 32 \) ohms, substituting these values into the formula yields:

[tex]\[ V = \sqrt{0.5 \times 32} \][/tex]

Calculating the value inside the square root:

[tex]\[ 0.5 \times 32 = 16 \][/tex]

Thus, the formula simplifies to:

[tex]\[ V = \sqrt{16} \][/tex]

Finally, calculating the square root of 16 gives:

[tex]\[ V = 4.0 \][/tex]

So the completed answer is:
"The formula to find [tex]\( V \)[/tex] is [tex]\( V = \sqrt{P R} \)[/tex], and the voltage at which the heater operates is 4.0 volts."
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.