   Chapter 18, Problem 1CQ

Chapter
Section
Textbook Problem

Choose the words that make each statement correct. (i) When two or more resistors are connected in series, the equivalent resistance is always [(a) greater than; (b) less than] any individual resistance. (ii) When two or more resistors are connected in parallel, the equivalent resistance is always [(c) greater than; (d) less than] any individual resistance.

(i)

To determine
The equivalent resistance in series circuit.

Option (a) greater than

Explanation

The equivalent resistance of two or more resistors in series is,

Req=R1+R2+.....+Rn

The sum of resistances is always greater than the individual resistance.

Conclusion:

When two or more resistors are connected in series, the equivalent resistance is always greater than any individual resistance. Therefore, option (a) is correct.

For the equivalent resistance is always less than any individual resistance, the resistors should be connected in parallel. Therefore, option (b) is incorrect.

(ii)

To determine
The equivalent resistance in parallel circuit.

Option (d) less than

Explanation

The equivalent resistance of two or more resistors in parallel is,

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

Conclusion:

When two or more resistors are connected in parallel, the equivalent resistance is always less than any individual resistance. Therefore, option (d) is correct.

For the equivalent resistance is always greater than any individual resistance, the resistors should be connected in series. Therefore, option (c) is incorrect.

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