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