Question

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Answer 1

Between points A and B :

Three resistors R 1 , R 2 ,R 3 of resistance 6 ohm ,3 ohm and 2 ohm respectively are arranged in Parallel combination O

Equivalent resistance for resistances arranged in Parallel combination is given by the formula

$\implies{ \frac{1}{R \: eq } = \frac{1}{R 1} + \frac{1}{R2} + \frac{1}{R3} }$

$\implies{ \frac{1}{R \: eq } = \frac{1}{6} + \frac{1}{3} + \frac{1}{2} }$

$\implies{ \frac{1}{R \: eq } = \frac{1 + 2 + 3}{6} }$

$\boxed{R \: eq = 1 \Omega}$

The equivalent resistance between points A and B is 1 ohm

Between points A and C :

Two resistors R eq and R 4 of resistances 1 ohm and 1 ohm are connected in Series

Equivalent resistance for resistances arranged in series combination is given by the formula

$\implies{ Rs \: = R1 + R2}$

$\implies{ Rs \: = 1 + 1}$

$\boxed{Rs \: =2\Omega}$

The equivalent resistance between point A and C is 2 ohm

Answer 2

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