Question

39. What is the equivalent resistance between A and B in the
circuit of figure, if R=3 ohm
Β
(a) 8Ω
(c) 12Ω
(b) 9Ω
(d) 15Ω​

Answer 1

Answer:

(a) 8 ohm

explanation :

Answer 2

Given that,

R = 3 ohms

To find,

The equivalent resistance between A and B.

Solution,

The resistances R and R in lower branch are in series. Their equivalent is 2R. Now, 2R and R are in parallel. So, equivalent is :

$\dfrac{1}{R'}=\dfrac{1}{6}+\dfrac{1}{3}\\\\R'=2\ \Omega$

Finally, R, R and 3 ohm are in series. So,

$R_{eq}=3+2+3=8\ \Omega$

So, the equivalent resistance between A and B in the  circuit is 8 ohms.

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Equivalent resistance

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