Question

find the equivalent resistance if the value of R in the circuit is 1.1ohn ​

Answer 1

Answer:

0.6 Ohm

Step-by-step explanation:

According to the given fig,

There are 3 parallel combination along with series.

First solving the series combination we get,

Series combination formula,

• R = R1 + R2

Where R is the equivalent resistance of R1 and R2 connected in series.

Thus for 1st row,

• R1 eq = R

• R2 eq = 2R

• R3 eq = 3R

Where R1 eq , R2 eq and R3 eq are the equivalent resistance of first , second and third row.

Now, these equivalent resistors are in parallel combination.

Parallel combination formula,

• 1/R' eq = 1/R1 + 1/R2

Where R' eq is the equivalent resistance of R1 and R2 connected in parallel.

Thus final combination of resistance is,

• 1/R' = 1/R + 1/2R + 1/3R

Where R' is the final equivalent resistance.

• 1/R' =6R^2+3R^2+2R^2/3R×2R×R

• 1/R' = 11R^2/6R^3

• 1/R' = 11/6R

• R' = 6R/11

Putting the values we get,

• R' = 6×1.1/11

• R' = 6.6/11

• R' = 0.6 ohm

Thus final equivalent resistance is 0.6 ohm.