find resistance in the circuit? please answer
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Answer:
The effective resistance of the circuit is 40 Ω.
Explanation:
Two 20 Ω resistors are in parallel connection. So their effective resistance can be calculated as:
1/R₁ = 1/R + 1/R
1/R₁ = 1/20 + 1/20 = 2/20
1/R₁ = 1/10
∴ R₁ = 10 Ω
Two 10 Ω resistors are also connected in a parallel manner. Their effective resistance is:
1/R₂ = 1/R + 1/R
1/R₂ = 1/10 + 1/10 = 2/10
1/R₂ = 1/5
∴ R₂ = 5 Ω
We have R₃ = 15 Ω and R₄ = 10 Ω
Now all the remaining resistances are connected in a series pattern and the effective resistance can be calculated using the equation:
R = R₁ + R₂+ R₃+ R₄
R = 10 + 5 + 15 + 10
R = 40 Ω
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