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?

Video transcript

Hey everyone in this problem. We have a device for administering electric shock that operates at 1280 volts and delivers a current of 18.8 Mila amperes creating a painful shock on the target. A pulse last 50 milliseconds and were asked to determine the power and energy delivered to the target per pulse. Okay, if the current is constant. Now the first thing we're asked for is power, let's recall that power is equal to the voltage V times the current. I now we're given both the voltage 1280 volts and the current 18.8 mil amperes. So we can plug in those values and salt. So we have 1280 volts times. Now we want to convert our mille amperes into our standard unit of amperes. Okay, so when we do that, what we have to do to go from Mila too, ampere is multiplied by 10 to the negative three. Okay, for R. S. I. Unit. So we get 18.8 miller and pierre times 10 to the negative three amperes. Her miller amp. Okay, the unit of miller ample cancel. And we're left with which is what we want. Okay, so this is going to give us 1280 volts times 0. amps. And when we multiply we get a power of 24.64. We have volts times amps. This is going to give us a watch which is a unit for power that we want. Alright, so there's our power now we need to find the energy per pulse. So the energy recall is going to be equal to the power times time. We know the power. We just found it. So the power is going to be 24. watts. Okay, in the time per pulse is 50 milliseconds. So 50 milliseconds and the same thing as we did with the ants. We want to convert from millisecond to seconds. So we multiply by 10 to the negative three. Okay, seconds per millisecond. The unit of millisecond will divide out and we're going to be left with seconds. And so we get 24. watts Times 0.05 seconds. Which is going to give us an energy of 1.2032. We have watt seconds. We know that that is a jewel. And so we get the unit of jewel that we want for energy. Alright, so we found our energy as well. So now if we look at our answer choices, we found that the power is approximately 24.1 watts. The energy is approximately 1.2 jewels. And so we have answer choice. A thanks everyone for watching. I hope this video helped see you in the next one