A typical American family uses 1000 kWh of electricity a month. On average, what is the resistance of a household?

검증된 단계별 안내

Step 1: Begin by understanding the relationship between power, voltage, and resistance. The formula for electrical power is given by:

P^{2} = V I, where P is power, V is voltage, and I is current.

Step 2: Convert the monthly energy usage into power. Since energy (E) is related to power (P) and time (t) by the formula

Energy = Power Time

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Ohm's Law

Ohm's Law states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R). This relationship is expressed by the formula V = IR. Understanding this law is essential for calculating resistance when voltage and current are known.

Power Consumption

Power consumption in electrical systems is defined as the rate at which electrical energy is used, typically measured in watts (W). It can be calculated using the formula P = IV, where P is power, I is current, and V is voltage. In the context of household electricity usage, knowing the power consumption helps in determining the overall energy efficiency and resistance of household appliances.

Energy and Time Relationship

The relationship between energy, power, and time is crucial for understanding electricity usage. Energy (in kilowatt-hours, kWh) is the product of power (in kilowatts) and time (in hours). For a household using 1000 kWh per month, this relationship allows us to derive average power consumption, which can then be used to find the average resistance of the household circuit when combined with voltage information.