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Question
What possible values of resultant resistance one can get by combining two resistances, one of value 2 ohm and the other 6 ohm?
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Solution
Connecting a 2 Ω and 6 Ω resistor in series combination:
`R=R_1+R_2`
R= 2Ω+6Ω=8Ω
Thus, we will get an 8 Ω resistor
Connecting a 2 Ω and 6 Ω resistor in parallel combination:
`1/R=1/R_1+1/R_2`
`1/R=1/2+1/6`
⇒`1/R=4/6`
⇒ `R=6/4 `Ω
Thus, we will get a 1.5 Ω resistor.
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