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Several resistors are connected in parallel. Which of the following statements are correct? Choose all that are correct. (a) The equivalent resistance is greater than any of the resistances in the group. (b) The equivalent resistance is less than any of the resistances in the group. (c) The equivalent resistance depends on the voltage applied across the group. (d) The equivalent resistance is equal to the sum of the resistances in the group. (e) None of those statements is correct.

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Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399

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Chapter
Section
BuyFindarrow_forward

Physics for Scientists and Enginee...

9th Edition
Raymond A. Serway + 1 other
Publisher: Cengage Learning
ISBN: 9781305116399
Chapter 28, Problem 28.13OQ
Textbook Problem
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Several resistors are connected in parallel. Which of the following statements are correct? Choose all that are correct. (a) The equivalent resistance is greater than any of the resistances in the group. (b) The equivalent resistance is less than any of the resistances in the group. (c) The equivalent resistance depends on the voltage applied across the group. (d) The equivalent resistance is equal to the sum of the resistances in the group. (e) None of those statements is correct.

To determine

The statements that are correct for several resistors connected in parallel.

Explanation of Solution

The formula to calculate the resistance in parallel is,

1Req=1R1+1R2+....

Here,

R1 is the resistance of the device connected in parallel.

R2 is the resistance of the device connected in parallel.

Consider the smallest resistance be R1 . So the other resistances are greater than R1 by some factor so R2=c2R1 , R3=c3R1

1Req=1R1+1c2R1+....+1cnR1Req=R1(1+1/c2+

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Chapter 28 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)
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