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ICSE Class 10 Answered

the equivalent resistance of the circuit diagram is 5 ohms. calculate the value of 'x'
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Asked by bharadwajlucky26 | 14 Sep, 2018, 05:06: PM
answered-by-expert Expert Answer
If the equivalent resistance of complete circuit is 5Ω, the equivalent resistance of parallel combination of three resistors 6Ω, xΩ and 2Ω is 1Ω.
 
if three resistances R1, R2 and R3 are connected parallel, then the equivalent resistance is (R1×R2×R3)/(R1×R2 + R2×R3 + R3×R1 )
 
hence we have,  12x / (6x +2x + 12 )  = 1 ................(1)
 
solving eqn.(1) for x, we get x = 3Ω.
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