Question

9 ohm resistor is cut into 3 equal parts and connected in a parallel find equivalent​

Answer 1

Answer :

Given -

• A 9 ohm resistor is cut into 3 equal parts.
• All the three are connected in parallel.

To Find -

• Equivalent net resistance ?

Solution -

If a 9 ohm resistor is cut into 3 equal parts, the resistance of all the three parts will be 3 ohm.

Now, latest find the net resistance in parallel connection.

⇒ 1/Rp = 1/R1 + 1/R2 + 1/R3

➸ 1/Rp = 1/3 + 1/3 + 1/3

➸ 1/Rp = (1 + 1)/3 + 1/3

➸ 1/Rp = 2/3 + 1/3

➸ 1/Rp = (2 + 1)/3

➸ 1/Rp = 3/3

➸ 1/Rp = 1 ohm

Hence, the equivalent net resistance will be 1 ohm.