tell me the process I know the answer but not procedure
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Given :
Four resistances are connected as shown in the figure.
To Find :
Equivalent resistance between A and B.
Solution :
First of all we can see that two equal resistances of 1Ω are connected in parallel.
- The reciprocal of the combined resistance of a number of resistance connected in parallel is equal to the sum of the reciprocal of all the individual resistances
➙ 1/r = 1/R₁ + 1/R₂
➙ 1/r = 1/1 + 1/1
➙ r = 1/2 Ω
Finally three resistances r, R₃ and R₄ comes in series. Hence net equivalent resistance between A and B will be;
➙ Req = r + R₃ + R₄
➙ Req = 1/2 + 2 + 3
➙ Req = 0.5 + 5
➙ Req = 5.5 Ω
∴ (D) is the correct answer!
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☆Answer☆
We have two resistance connected in series and two in parallel.
Series Connection
R1 = 2 Ω
R2 = 3 Ω
• R equivalent = R1+R2
= 5 Ω
Parallel Connection
R3 = 1 Ω
R4 = 1 Ω
• 1/R equivalent = R3+R4
= 1/1+1/1
= 2/1
R equivalent = 1/2 Ω
We have,
5 Ω and 1/2 Ω is now in series.
Total resistance across A and B
= (5+1/2) Ω
= 5.5 Ω
Hence, the effective resistance between A and B is 5.5 Ω.
✔
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