There are three resistors connected in parallel, th

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Solution

Q.
There are three resistors connected in parallel, the resistance of each resistor is 3 ohm. What is the total resistance of all the three resistors

1 $1 Ω$

2 $6 Ω$

3 $15 Ω$

4 $3 Ω$

Ans.
(1)

It is given that the three resistors are connected in parallel and the resistance of each resistor is $3 Ω .$

$R_{1} = R_{2} = R_{3} = 3 Ω$

From the formula given below, we can calculate the total resistance of all the three resistors:

$\frac{1}{R_{p}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + \frac{1}{R_{3}} = \frac{1}{3} + \frac{1}{3} + \frac{1}{3} = \frac{3}{3} ∴ R_{p} = 1 Ω$

Hence, the total resistance is 1 $Ω$

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