A vacuum cleaner has a maximum power consumption of 1000 W and is powered by 240 Volts. What is the current used?*2 pointsa. 24 ampsb. 4.17 ampsc. 0.24 amps

1. Break Down the Problem

To find the current used by the vacuum cleaner, we need to use the formulas that relate power, voltage, and current. The relationship is given by the formula: $P = V \times I$ where:

• $P$ is the power in watts (W),
• $V$ is the voltage in volts (V),
• $I$ is the current in amperes (A).

2. Relevant Concepts

Given:

• Maximum power consumption, $P = 1000 \, \text{W}$
• Voltage, $V = 240 \, \text{V}$

We need to find the current $I$.

3. Analysis and Detail

Using the formula, we can rearrange it to find the current: $I = \frac{P}{V}$

Substituting in the known values: $I = \frac{1000 \, \text{W}}{240 \, \text{V}}$

Now performing the calculation: $I = 4.16667 \, \text{A} \approx 4.17 \, \text{A}$

4. Verify and Summarize

We calculated the current using the power and voltage values provided. The calculated current of approximately 4.17 amps matches one of the provided options.

Final Answer

The current used by the vacuum cleaner is 4.17 amps (Option b).