# You are given three resistance of 1ohm, 2ohm,3ohm how with the help pf these resistance you can get 6ohm,6/11ohm,1.5ohm

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by madhualw999

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by madhualw999

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1) to get 6 ohm

We connect the three resistors in series. so resistances are added to get the effective resistance: 1 + 2 + 3 = 6 Ω

2) to get 6/11 Ω

We connect all the resistances in parallel. The effective resistance be R.

1/R = 1/1 + 1/2 + 1/3 = 11/6

R = 6/11 Ω

3) to get 1.5 Ω

We connect 1 Ω and 2 Ω in series. Hence, resistance of the two will be 3 Ω. Then connect the 3 Ω resistance in parallel with the series connection of 1 Ω and 2 Ω.

so effective resistance = R

1/R = 1/(1+2) + 1/3 = 2/3

R = 3/2 Ω = 1.5 Ω

We connect the three resistors in series. so resistances are added to get the effective resistance: 1 + 2 + 3 = 6 Ω

2) to get 6/11 Ω

We connect all the resistances in parallel. The effective resistance be R.

1/R = 1/1 + 1/2 + 1/3 = 11/6

R = 6/11 Ω

3) to get 1.5 Ω

We connect 1 Ω and 2 Ω in series. Hence, resistance of the two will be 3 Ω. Then connect the 3 Ω resistance in parallel with the series connection of 1 Ω and 2 Ω.

so effective resistance = R

1/R = 1/(1+2) + 1/3 = 2/3

R = 3/2 Ω = 1.5 Ω