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Question
In parallel combination, the total resistance of the circuit becomes ___ the individual resistances.
In parallel combination, the total resistance of the circuit becomes
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Solution
The correct option is D less than
When resistors are connected in parallel, the equivalent resistance is less than the lowest resistance in the circuit.
Proof is as follows:
As we know when R1, R2, R3 ... Rn resistors are connected in parallel circuit, the equivalent resistance of the circuit is
1Req=1R1+1R2...1Rn
1Req≥1Ri∀ i∈{1,2,3,....,n}
⟹Req≤Ri
less than
When resistors are connected in parallel, the equivalent resistance is less than the lowest resistance in the circuit.
Proof is as follows:
As we know when R1, R2, R3 ... Rn resistors are connected in parallel circuit, the equivalent resistance of the circuit is
1Req=1R1+1R2...1Rn
1Req≥1Ri∀ i∈{1,2,3,....,n}
⟹Req≤Ri
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