Equivalence of Resistors

Electricity and Magnetism Level 1

Circuit: 1

Circuit: 2

Circuit: 3

Circuit: 4

In all the above circuits, there are three resistors each of resistance $1 \Omega$ . Let $R_{eq_1}$ , $R_{eq_2}$ , $R_{eq_3}$ and $R_{eq_4}$ be the equivalent resistances of the circuit $1$ , $2$ , $3$ and $4$ respectively.

What is the correct statement about their equivalent resistances?

R_{eq_3} \lt R_{eq_2} \lt R_{eq_4} \lt R_{eq_1}

R_{eq_3} \lt R_{eq_4} \lt R_{eq_2} \lt R_{eq_1}

R_{eq_1} \lt R_{eq_2} \lt R_{eq_3} \lt R_{eq_4}

R_{eq_4} \lt R_{eq_3} \lt R_{eq_2} \lt R_{eq_1}

R_{eq_4} \lt R_{eq_2} \lt R_{eq_3} \lt R_{eq_1}

1 solution

A Former Brilliant Member
Mar 7, 2016

Equivalent resistance of Circuit 1 is 3 ohms.

Equivalent resistance of Circuit 2 is 2/3 ohms.

Equivalent resistance of Circuit 3 is 1/3 ohms.

Equivalent resistance of Circuit 4 is 3/2 ohms.

Therefore, equivalent resistance of Circuit 1>4>2>3.

Equivalence of Resistors

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