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Question
How should the two resistances of 2 ohms each be connected so as to produce an equivalent resistance of 1 ohm?
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Solution
The two resistors of 2 Ω each should be connected in parallel combination to produce equivalent resistance of 1 Ω.
`1/R=1/R_1+1/R_2 `
`1/R=1/2+1/2`
or `1/R=2/2`
R=1 Ω
R = 1
Total resistance, R = 1 Ω
Resistance In parallel arangement is given by `
`1R=1R_1+1R_2`
`1R=12+12 or 1R=22 `
`R=1Ω `
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