/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 40 BIO Electric Eels. Electric eels... [FREE SOLUTION] | 91Ó°ÊÓ

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BIO Electric Eels. 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 \(500 \mathrm{~V}\) and produce currents of \(80 \mathrm{~mA}\) (or even larger). A typical pulse lasts for \(10 \mathrm{~ms}\). What power and how much energy are delivered to the unfortunate enemy with a single pulse, assuming a steady current?

Short Answer

Expert verified
The power delivered to the enemy with a single pulse is 40W and the energy delivered is 0.4J.

Step by step solution

01

Calculate Power

Power is given by the formula Power = Voltage x Current. Substituting the values given, we have Power = \(500 \mathrm{V}\) x \(80 \mathrm{mA}\) = \(40 \mathrm{W}\).
02

Convert time from ms to s

To calculate energy, time must be in seconds. Given time is 10ms which is equivalent to \(10*10^{-3}\) or \(0.01 \mathrm{s}\).
03

Calculate Energy

Energy is calculated using the formula Energy = Power x Time. Substituting the values, we have Energy = \(40 \mathrm{W}\) x \(0.01 \mathrm{s}\) = \(0.4 \mathrm{J}\).

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Electric Current
To understand electric power, it's crucial to first grasp the concept of electric current. Electric current is essentially the flow of electric charge through a conductor. In most practical cases, this flow is carried by electrons moving through a wire. We measure electric current in amperes (A), which indicates how many electrons pass a certain point in the circuit per second.
In the case of electric eels, they can generate a current of up to 80 milliamperes (mA). It's important to remember that 1 ampere equals 1000 milliamperes, so electric eels produce a current of 0.08 A.
Understanding current helps us comprehend how energy flows and is utilized, whether in biological systems like electric eels or in man-made electrical circuits.
Voltage
Voltage is often described as the "pressure" that pushes electric charges through a conductor. More precisely, it is the potential difference between two points in an electric field. Voltage is measured in volts (V), and it can be seen as the driving force that propels electric current through a circuit.
In our exercise, electric eels generate up to 500 volts during a pulse. This high voltage provides the necessary force to deliver the electric current effectively, ensuring electricity can be transmitted rapidly to stun their prey.
Just like water pressure in a pipe system, higher voltage means higher energy potential, which is critical for understanding how electrical systems work, both naturally and artificially.
Energy Calculation
Energy calculation in an electrical context refers to determining how much energy is transferred or produced within a system. In the exercise, we need to calculate the energy delivered by a single electric pulse.
We use the formula: Energy = Power x Time. To calculate power, we applied the formula: Power = Voltage x Current, finding the electric eels produce 40 Watts (W) of power.
Time often needs a conversion; in our example, 10 milliseconds was converted to 0.01 seconds. So, Energy = 40 W x 0.01 s = 0.4 joules (J).
It helps us understand the efficiency and impact of electrical systems, showing how every element—from voltage to time—fits together to quantify energy output.
Physics Education
Physics education provides the foundation for understanding complex systems like those seen in electric eels. By breaking down these biological phenomena into familiar principles such as electric current, voltage, and energy, we can grasp how nature manipulates electricity to its advantage.
Learning physics not only involves memorizing formulas but also understanding underlying concepts that can be applied to real-world examples. It's about connecting the dots between theoretical knowledge and practical application.
Incorporating detailed, context-rich examples such as electric eels into physics education helps in engaging students and fostering a more comprehensive learning experience that extends beyond textbook problems.

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Most popular questions from this chapter

A metal wire has a circular cross section with radius \(0.800 \mathrm{~mm}\) You measure the resistivity of the wire in the following way: You connect one end of the wire to one terminal of a battery that has emf \(12.0 \mathrm{~V}\) and negligible internal resistance. To the other terminal of the battery you connect a point along the wire so that the length of wire between the battery terminals is \(d\). You measure the current in the wire as a function of \(d\). The currents are small, so the temperature change of the wire is very small. You plot your results as \(I\) versus \(1 / d\) and find that the data lie close to a straight line that has slope \(600 \mathrm{~A} \cdot \mathrm{m} .\) What is the resistivity of the material of which the wire is made?

A slender rod, \(0.240 \mathrm{~m}\) long, rotates with an angular speed of \(8.80 \mathrm{rad} / \mathrm{s}\) about an axis through one end and perpendicular to the rod. The plane of rotation of the rod is perpendicular to a uniform magnetic field with a magnitude of \(0.650 \mathrm{~T}\). (a) What is the induced emf in the rod? (b) What is the potential difference between its ends? (c) Suppose instead the rod rotates at \(8.80 \mathrm{rad} / \mathrm{s}\) about an axis through its center and perpendicular to the rod. In this case, what is the potential difference between the ends of the rod? Between the center of the rod and one end?

An incandescent light bulb uses a coiled filament of tungsten that is \(580 \mathrm{~mm}\) long with a diameter of \(46.0 \mu \mathrm{m} .\) At \(20.0^{\circ} \mathrm{C}\) tungsten has a resistivity of \(5.25 \times 10^{-8} \Omega \cdot \mathrm{m} .\) Its temperature coefficient of resistivity is \(0.0045\left(\mathrm{C}^{\circ}\right)^{-1},\) and this remains accurate even at high temperatures. The temperature of the filament increases linearly with current, from \(20^{\circ} \mathrm{C}\) when no current flows to \(2520^{\circ} \mathrm{C}\) at 1.00 A of current. (a) What is the resistance of the light bulb at \(20^{\circ} \mathrm{C} ?\) (b) What is the current through the light bulb when the potential difference across its terminals is \(120 \mathrm{~V} ?\) (Hint: First determine the temperature as a function of the current; then use this to determine the resistance as a function of the current. Substitute this result into the equation \(V=I R\) and solve for the current \(I .\) ) (c) What is the resistance when the potential is \(120 \mathrm{~V} ?\) (d) How much energy does the light bulb dissipate in 1 min when \(120 \mathrm{~V}\) is supplied across its terminals? (e) How much energy does the light bulb dissipate in 1 min when half that voltage is supplied?

Light Bulbs. The power rating of a light bulb (such as a \(100 \mathrm{~W}\) bulb is the power it dissipates when connected across a \(120 \mathrm{~V}\) potential difference. What is the resistance of (a) a \(100 \mathrm{~W}\) bulb and (b) a \(60 \mathrm{~W}\) bulb? (c) How much current does each bulb draw in normal use?

Lightning Strikes. During lightning strikes from a cloud to the ground, currents as high as 25,000 A can occur and last for about \(40 \mu\) s. How much charge is transferred from the cloud to the earth during such a strike?

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