Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

1.) a lamp is plugged into an outlet that provides a voltage difference…

Question

1.) a lamp is plugged into an outlet that provides a voltage difference of 150v. what power does the lamp use if the current is 2a.

Explanation:

Step1: Recall the power formula

The formula for electric power \( P \) in a circuit is \( P = V \times I \), where \( V \) is the voltage (in volts) and \( I \) is the current (in amperes).

Step2: Identify given values

We are given that the voltage \( V = 150 \, \text{V} \) and the current \( I = 2 \, \text{A} \).

Step3: Substitute values into the formula

Substitute \( V = 150 \) and \( I = 2 \) into \( P = V \times I \):
\( P = 150 \, \text{V} \times 2 \, \text{A} \)

Step4: Calculate the power

\( 150 \times 2 = 300 \), so \( P = 300 \, \text{Watts} \) (since power in an electric circuit is measured in watts, where \( 1 \, \text{W} = 1 \, \text{V} \cdot \text{A} \)).

Answer:

The lamp uses a power of \( \boldsymbol{300 \, \text{W}} \).