You have two metallic wires of resistance 3 ohm how will you connect this was to get the effective resistance of 2 ohm
Answers
Given:
Two metallic wires of resistance 3 ohm.
To find:
How will you connect wires to get the effective resistance of 2 ohm?
Solution:
From the given information, we have the data as follows.
Two metallic wires of resistance 3 ohm.
The resistance of the wires is already given as 3 ohm, so, we can't assume any other values for the resistance.
When these wires are connected in parallel, the effective resistance is given as follows.
1/R_{p} = 1/R + 1/R
1/R_{p} = 2/R
Substitute the values in the above equation.
R_{p} = R/2
R_{p} = 3/2
R_{p} = 1.5 ohm
When these wires are connected in series, the effective resistance is given as follows.
R_{s} = R + R
R_{s} = 2R
Substitute the values in the above equation.
R_{s} = 2 × 3
R_{s} = 6 ohm
Therefore, the equivalent resistance of 2 ohm is not at all possible.