/*! 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 17 An electric catfish can generate... [FREE SOLUTION] | 91Ó°ÊÓ

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An electric catfish can generate a significant potential difference using stacks of special cells called electrocytes. Each electrocyte develops a potential difference of 110 mV. How many cells must be connected in series to give the 350 V a large catfish can produce?

Short Answer

Expert verified
After performing the calculation in Step 2, we find that approximately 3182 electrocytes are needed for a large catfish to produce 350 V.

Step by step solution

01

Conversion

Convert the potential difference of each electrocyte from mV to V: \(1V = 1000mV\). Thus, \(110mV = 0.110V\).
02

Calculation

Calculate the number of electrocytes required, rounding off to the nearest whole number, if necessary. Use the formula: Number of Electrocytes = Total potential difference / Potential difference per electrocyte. Plug in the given values into the formula: Number of Electrocytes = \(350V / 0.110V\).
03

Evaluation

Evaluate the result from the previous step to find the solution to the problem.

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Key Concepts

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

Potential Difference
The concept of potential difference is a fundamental part of understanding how electric currents work. In simple terms, potential difference refers to the difference in electric potential energy between two points in a circuit.
Electric potential energy is the ability to do work by the force of electric fields. It is measured in volts (V).
When we talk about potential difference, what we're essentially describing is how strongly electric currents move between two points.
Think of it as the 'push' that gets electrical charges flowing.
The electric catfish uses specialized cells called electrocytes to create a potential difference effectively.
It stacks numerous electrocytes together to build this potential, akin to stacking batteries in series.
Series Circuit
In a series circuit, electrical components are connected end-to-end. This setup ensures that the same current flows through each component.
One significant feature of a series circuit is that the total potential difference, or voltage, is the sum of the potential differences across all components.
This is exactly why the electric catfish can achieve such a high voltage by putting many electrocytes in series.
When each electrocyte adds a specific voltage, stacking them multiplies their combined voltage output.
Series circuits have simple configurations, making them easy to understand and an effective teaching opportunity in physics education. However, it's worth noting that if one component in a series circuit fails, it can affect the entire circuit.
Voltage Conversion
Voltage conversion is crucial in many electronics and biological systems like the catfish's electrocytes.
It involves changing the potential difference to suit the requirements of a particular application.
In the case of the electric catfish, if each electrocyte produces 110 millivolts (mV), we need to convert this into volts for simplicity in calculations (1 V = 1000 mV).
Through conversion, 110 mV becomes 0.110 V.
This small voltage is easy for the fish to generate, but when stacked in series, it multiplies to the required amount.
Understanding voltage conversion not only helps with biological examples but is also central to electronic engineering and physics education.
Physics Education
Physics education introduces students to the fundamental principles that govern our universe.
Concepts like potential difference, series circuits, and voltage conversion are core topics in physics curricula.
They help students understand how electrical devices operate both in nature and technology.
With fun examples like electric catfish, complex topics become relatable and easier to grasp.
Teachers use such real-life examples to illustrate how physics applies to the world around us.
Engaging students with both practical and theoretical lessons ensures a deeper comprehension and retention of the material.
Comprehensive physics education lays down a strong foundation for any student interested in fields like engineering, technology, and scientific research.

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Most popular questions from this chapter

The hot dog cooker described in the chapter heats hot dogs by connecting them to \(120 \mathrm{V}\) household electricity. A typical hot dog has a mass of \(60 \mathrm{g}\) and a resistance of \(150 \mathrm{\Omega}\). How long will it take for the cooker to raise the temperature of the hot dog from \(20^{\circ} \mathrm{C}\) to \(80^{\circ} \mathrm{C}\) ? The specific heat of a hot dog is approximately \(2500 \mathrm{J} / \mathrm{kg} \cdot \mathrm{K}.\)

When running on its \(11.4 \mathrm{V}\) battery, a laptop computer uses \(8.3 \mathrm{W} .\) The computer can run on battery power for \(9.0 \mathrm{h}\) before the battery is depleted. a. What is the current delivered by the battery to the computer? b. How much energy, in joules, is this battery capable of supplying? c. How high off the ground could a \(75 \mathrm{kg}\) person be raised using the energy from this battery?

An electric eel develops a potential difference of \(450 \mathrm{V}\), driving a current of \(0.80 \mathrm{A}\) for a \(1.0 \mathrm{ms}\) pulse. For this pulse, find (a) the power, (b) the total energy, and (c) the total charge that flows.

A \(70 \mathrm{W}\) electric blanket runs at \(18 \mathrm{V}\). a. What is the resistance of the wire in the blanket? b. How much current does the wire carry?

For a science experiment you need to electroplate a 100-nm-thick zinc coating onto both sides of a very thin, \(2.0 \mathrm{cm} \times 2.0 \mathrm{cm}\) copper sheet. You know that the charge carriers in the ionic solution are divalent (charge \(2 e\) ) zinc ions. The density of zinc is \(7140 \mathrm{kg} / \mathrm{m}^{3} .\) If the electroplating apparatus operates at \(1.0 \mathrm{mA}\), how long will it take the zinc to reach the desired thickness?

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