Question

Three resistance 20 ohm 30 ohm and 60 ohm are connected in parallel their combined resistance is given by

Answer 1

Sum of reciprocals of resistors connected in parallel is equal to the reciprocal of the resistance through the circuit

Answer 2

Given that,

Resistance 1, $R_1=20\ \Omega$

Resistance 2, $R_2=30\ \Omega$

Resistance 3, $R_3=60\ \Omega$

To find,

The combined resistance in parallel combination

Solution,

In parallel combination, the equivalent resistance is given by :

$\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}\\\\\dfrac{1}{R}=\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{60}\\\\R=10\ \Omega$

So, the combined resistance of the combination of three resistors in parallel combination is 10 ohms.

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Combination of resistors

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