Calculate the effective resistance between P and Q ?
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Given : five resistors of resistance 3Ω, 7Ω, 10Ω, 6Ω and 4Ω are connected in a circuit as shown in figure.
To find : The effective resistance between P and Q.
solution : step 1 : two resistors 3Ω and 7Ω are joined in series combination.
so, effective resistance of these ones , R₁ = 3Ω + 7Ω = 10Ω
step 2 : two other resistors 6Ω and 4Ω are joined in series combination.
so, effective resistance of these ones , R₂ = 6Ω + 4Ω = 10Ω
step 3 : R₁, 10Ω and R₂ are joined in parallel combination between P and Q.
so, effective resistance, Req :
1/Req = 1/R₁ + 1/10 + 1/R₂
= 1/10 + 1/10 + 1/10 = 3/10
Req = 10/3 Ω
Therefore the effective resistance is 10/3 Ω
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