Off to Europe! You plan to take your hair dryer to Europe, where the electrical outlets put out 240 V instead of the 120 V seen in the United States. The dryer puts out 1600 W at 120 V. (b) What current will your dryer draw from a European outlet? (c) What resistance will your dryer appear to have when operated at 240 V?

검증된 단계별 안내

To find the current drawn by the dryer from a European outlet, we first need to understand the relationship between power, voltage, and current. The power (P) is given by the formula: P = V * I, where V is the voltage and I is the current.

Given that the dryer outputs 1600 W at 120 V, we can calculate the current it draws in the United States using the formula: I = P / V. Substitute the given values to find the current at 120 V.

Now, to find the current at 240 V, we assume the power output remains the same (1600 W). Use the formula I = P / V again, but this time substitute 240 V for the voltage.

To find the resistance of the dryer when operated at 240 V, use Ohm's Law, which states that V = I * R, where R is the resistance. Rearrange this to find R: R = V / I.

Substitute the values for voltage (240 V) and the current calculated in the previous step into the formula R = V / I to find the resistance of the dryer when operated at 240 V.

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주요 개념

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

Ohm's Law

Ohm's Law is a fundamental principle in physics that relates voltage (V), current (I), and resistance (R) in an electrical circuit. It is expressed as V = IR, meaning the voltage across a conductor is proportional to the current flowing through it, with the resistance being the constant of proportionality. This law is essential for calculating the current and resistance in circuits when voltage changes.

Power Formula

The power formula in electrical circuits is given by P = VI, where P is the power in watts, V is the voltage in volts, and I is the current in amperes. This formula helps determine how much power an electrical device consumes or outputs, and is crucial for understanding how the hair dryer operates at different voltages, such as 120 V and 240 V.

Resistance Calculation

Resistance in an electrical circuit can be calculated using the formula R = V/I, derived from Ohm's Law. It represents how much a device resists the flow of electric current. When the voltage changes, as in the case of using a hair dryer in Europe, recalculating resistance helps understand how the device will behave under different electrical conditions.