Show how would you join three resistors each of resistance 9 ohm so that the equivalent resistance of the combination is 3 ohm and 13.5 Ohm
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Answer: i) For getting an equivalent resistance of 3 ohm, join all the resistors in parallel.
ii)For resistance of 13.5 ohm, join 2 resistors in parallel and 1 in series.
Explanation: i) When resistors are kept in parallel, 1/R= 1/R+1/R+1/R.
Therefore, 1/R= 1/9+1/9+1/9
= 1/3
Therefore, R= 3 ohm
ii) When 2 resistors are kept in parallel, 1/R= 1/9+1/9
=2/9
Therfore, R= 9/2
= 4.5 ohm
Now, when one resistor is kept in series, the totla resistance is R+R
Therefore, R= 4.5+9
= 13 ohm
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