Book edition 1st Edition

Author(s) Paul Peter Urone

Pages 1272 pages

ISBN 9781938168000

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Short Answer

The power dissipated in a resistor is given by $P = V^{2} / R$ , which means power decreases if resistance increases. Yet this power is also given by $P = I^{2} R$ , which means power increases if resistance increases. Explain why there is no contradiction here.

There is no contradiction because $V$ and $I$ are not always constants and are dependent on one another.

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1: Definition of Resistance

In an electrical circuit, resistance is a measure of the resistance to current

flow. The Greek letter omega (Ω) is used to represent resistance in ohms.

Step 2: Explanation of the contradiction

There is no inconsistency because $V$ and $I$ are not always constants and are dependent on one another.

By Ohm's law,

$V = I R$

$V$ , $I$ , and $R$ are connected to each other.

It is possible to convert one power equation to another.

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College Physics (Urone)

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Short Answer

The power dissipated in a resistor is given by $P = V^{2} / R$ , which means power decreases if resistance increases. Yet this power is also given by $P = I^{2} R$ , which means power increases if resistance increases. Explain why there is no contradiction here.

Step by Step Solution

Step 1: Definition of Resistance

Step 2: Explanation of the contradiction

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College Physics (Urone)

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Short Answer

The power dissipated in a resistor is given by P=V2/R, which means power decreases if resistance increases. Yet this power is also given by P=I2R, which means power increases if resistance increases. Explain why there is no contradiction here.

Step by Step Solution

Step 1: Definition of Resistance

Step 2: Explanation of the contradiction

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The power dissipated in a resistor is given by $P = V^{2} / R$ , which means power decreases if resistance increases. Yet this power is also given by $P = I^{2} R$ , which means power increases if resistance increases. Explain why there is no contradiction here.