Question

17. The resistance 2 ohm,4 ohm and 8 ohm are connected in parallel their equivalent resistance is​

Answer 1

Given :

• The resistance 2 ohm,4 ohm and 8 ohm are connected in parallel connection

To find :

• equivalent resistance

Formula used :

For parallel connection Req is given as :-

$\dfrac{1}{Req} = \dfrac{1}{R1} + \dfrac{1}{R2} + \dfrac{1}{R3} ........$

Where :-

• Req = equivalent resistance

• R1 , R2 , R3 = Resistance of different resistors are connected in parallel connection

Solution :

The resistance 2 ohm,4 ohm and 8 ohm are connected in parallel connection

We know that :-

$\implies \: \dfrac{1}{Req} = \dfrac{1}{R1} + \dfrac{1}{R2} + \dfrac{1}{R3} ........$

Now put :-

• R1 = 2
• R2 = 4
• R3 = 8

$\implies \: \dfrac{1}{Req} = \dfrac{1}{2} + \dfrac{1}{4} + \dfrac{1}{8}$

LCM of 2,4 and 8 = 8

$\implies \: \dfrac{1}{Req} = \dfrac{4 + 2 + 1}{2}$

$\implies \: \dfrac{1}{Req} = \dfrac{7}{2}$

$\implies \: {Req} = \dfrac{2}{7}$

Answer :

${Req} = \dfrac{2}{7} \: ohm$