Show how you would connect three resistors, each of resistance 6
, so that the combination has a resistance of (i) 9
, and (ii) 4
.
(i) In order to get a resistance of 9
from three resistors of 6
each, we connect two 6
resistors in parallel and then this parallel combination is connected in series with the third 6
resistor .

For parallel connection: ![]()
Or R= 3![]()
And for series connection: R= 3
+ 6
= 9 ![]()
(ii) In order to get a resistance of 4
, their are multiple cases
(a) 1st Case
From three resistors of 6
each, we connect all the three 6
resistors in parallel:

![]()
Then, Net Resistance R= 2
+ 2
= 4
.
(b)2nd Case
We connect two resistors of 6 Ω in series and another resistor of 6 Ω in parallel to them
R= 6 Ω + 6Ω= 12Ω
Then Net Resistance 
Then R= 4 Ω
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