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CBSE Class 10 Answered

The equivalent resistor is lesser than the least of all the resistance. Can you please explain me in detail ,in an easy method ,please.
Asked by | 13 Jun, 2013, 08:12: PM
answered-by-expert Expert Answer
If the resistances are connected in a parallel, then the equivalent resistance of the circuit would be lesser than the least of the resistances.
 
So, lets consider 3 resistances connected in parallel. R1 = 2 ohms, R2 = 3ohms, R3 = 5 ohms
So, R1 = 2 ohms is the least of all. 
Now, 1/Req = 1/R1 + 1/R2 + 1/R3 = 1/2 + 1/3 + 1/5  = 31/30 
Req = 30/31 which is lesser than R1 = 2ohms which has the smallest resistance of all the resistances given. 
Answered by | 14 Jun, 2013, 07:57: AM

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