Answered

Select the correct answer. A toaster is plugged into an 120-volt outlet. If it has a resistance of 460 ohms, how much power does it use? A. 1,800 watts B. 3.8 watts C. 31 watts D. 55,000 watts E. 340 watts



Answer :

Answer:

The correct answer is C. 31 watts.

Explanation:

Here's why answer C (31 watts) is the correct answer for the toaster's power usage:

We can use the formula for power (P) in an electrical circuit: P = V^2 / R

P: Power (in watts)

V: Voltage (in volts)

R: Resistance (in ohms)

We are given the voltage (V) = 120 volts and resistance (R) = 460 ohms.

Plugging the values into the formula:

P = (120 volts)^2 / 460 ohms

To simplify the calculation, we can break down 120^2 into (100 + 20)^2 and distribute:

P = [(100)^2 + (20 x 20) + (2 x 100 x 20)] / 460 ohms

Calculate each term separately:

P = [10,000 + 400 + 4000] / 460 ohms

P = 14,400 / 460 ohms

Divide to find the power:

P ≈ 31.3 watts (rounded to two decimal places)

Therefore, the toaster uses approximately 31 watts of power.

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