the equivalent resistance between the point A and B in the following circuit
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starting from the left corner
R1=5+5=10
1/10+1/5=3/10
R2=10/3
R2+5=R3
10/3+5=25/3=R3
1/R3+1/R4=1/R
3/25+1/5
=8/25
=1/R
R=25/8
=3.12
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Given,
A network of resistors is given in the figure.
To Find,
The equivalent resistance between A and B.
Solution,
First, we will find the net resistance of the resistors connected in series
R net = 5+5 = 10 Ω
Now,
The middle resistor and R net is connected in parallel
1/R' = 1/10+1/5
1/R' = 3/10
R' = 10/3 Ω
Now,
Again R' and lowermost 5 Ω resistor is connected in series
So,
R'' = 10/3+5
R'' = 25/3 Ω
Now,
R'' and the last 5 Ω resistor is connected in parallel
So,
1/R = 1/R''+1/5
1/R = 3/25+1/5
1/R = 8/25
R = 25/8 = 3.12 Ω
Hence, the correct answer is option (a) 3.12 Ω.
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