Calculate equivalent resistance when three resistances of $2$ ohms, $3$ ohms and $6$ ohms are connected in parallel combination.

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Solution

Given: $R_{1} = 2$ ohm, $R_{2} = 3$ ohm, $R_{3} = 6$ ohm
Formula: $\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}} = \frac{1}{2} + \frac{1}{3} + \frac{1}{6}$
$∴ R = \frac{3 + 2 + 1}{6} = \frac{6}{6} = 1$ ohm.

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Calculate equivalent resistance when three resistances of 2 ohms, 3 ohms and 6 ohms are connected in parallel combination.

Given: R1=2ohm, R2=3 ohm, R3=6ohmFormula: 1R=1R1+1R2+1R3=12+13+16∴R=3+2+16=66=1ohm.

Calculate equivalent resistance when three resistances of $2$ ohms, $3$ ohms and $6$ ohms are connected in parallel combination.

Given: $R_{1} = 2$ ohm, $R_{2} = 3$ ohm, $R_{3} = 6$ ohm
Formula: $\frac{1}{R} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}} = \frac{1}{2} + \frac{1}{3} + \frac{1}{6}$
$∴ R = \frac{3 + 2 + 1}{6} = \frac{6}{6} = 1$ ohm.