1.

how can 3 resistors of resistances 1ohm ,3ohm and 5ohm be connected to give a total resistance of 2ohm​

Answer»

Answer:

1 ohm and 5 ohm in series then their equivalent resistance in parallel with 3 ohm.

Explanation:

According to the given QUESTION,

R1 = 1 ohm

R2 = 3 ohm

R3 = 5 ohm

And we are asked to find what combination of these three can GIVE equivalent resistance as 2 ohm.

We know for series combination

  • R = R1+R3

Where R is the equivalent resistance of R1 and R3 joined in series combination.

Putting the values we GET,

  • R = 1+5 = 6 ohm

Again, for parallel combination

  • 1/R' = 1/R + 1/R2

Where R' is the equivalent resistance of R and R2 joined in parallel combination.

Putting the values we get,

  • 1/R' = 1/6 + 1/3

  • R' = 6×3/6+3

  • R' = 18/9

  • R' = 2 ohm

Thus we got 2 ohm as final equivalent resistance when 1 and 5 are in series and their equivalent resistance is parallel with 3 ohm.


Discussion

No Comment Found

Related InterviewSolutions