Electric eels generate electric pulses along their skin that can be used to stun an enemy when they come into contact with it. Tests have shown that these pulses can be up to 500 V and produce currents of 80 mA (or even larger). A typical pulse lasts for 10 ms. What power and how much energy are delivered to the unfortunate enemy with a single pulse, assuming a steady current?

검증된 단계별 안내

First, understand the relationship between voltage (V), current (I), and power (P). Power can be calculated using the formula:

P = V I

. Here, V is the voltage and I is the current.

Substitute the given values into the power formula. The voltage is 500 V and the current is 80 mA. Remember to convert the current from milliamperes to amperes by dividing by 1000:

I = 80 mA = 0.08 A

Calculate the power using the formula:

P = 500 V 0.08 A

. This will give you the power in watts.

Next, calculate the energy delivered during the pulse. Energy (E) can be calculated using the formula:

E = P t

, where t is the time duration of the pulse.

Substitute the power calculated in the previous step and the time duration of the pulse (10 ms, converted to seconds:

10 ms = 0.01 s

) into the energy formula to find the energy delivered in joules.

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주요 개념

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

Electric Power

Electric power is the rate at which electrical energy is transferred by an electric circuit. It is calculated using the formula P = VI, where P is power in watts, V is voltage in volts, and I is current in amperes. Understanding this concept is crucial for determining the power delivered by the electric eel's pulse.

Energy Delivered

Energy delivered in an electrical context is the total work done by the electric current over a period of time. It can be calculated using the formula E = Pt, where E is energy in joules, P is power in watts, and t is time in seconds. This concept helps in calculating the total energy imparted to the enemy during the pulse.

Steady Current

A steady current refers to a constant flow of electric charge over time, without fluctuations. In the context of the electric eel's pulse, assuming a steady current simplifies calculations, as it allows the use of direct formulas for power and energy without needing to account for variations in current or voltage.