Question

What is the effective resistance between points p and q in the given circuit​

Answer 1

1.5 ohm is the answer

Explanation:

the upper two resistances of 3 ohm and tge lower two resitances of three ohm are in parallel arramgement with tye middle 3 ohm resistance so use the formula for parallel resistances and the answer is 1.5ohm

Answer 2

Answer:

The effective resistance between points p and q is 1.5Ω

Explanation:

In the diagram,we first observe that the resistances 3Ω and 3Ω are in series.

Hence,their combined resistance is

$R_{1}=3Ω+3Ω=6Ω$

Similarly at one more place we hace same resistances in series.Hence,

$R_{2}=3Ω+3Ω=6Ω$

Let the resistance between p and q be

$R_{3}=3Ω$

Now these three resistances are in parallel.Therefore,the effective resistance is

$\frac{1}{R_{e}}=\frac{1}{R_{1}}+\frac{1}{R_{2}}+\frac{1}{R_{3}} \\ = \frac{1}{6} + \frac{1}{3} + \frac{1}{6} = \frac{2}{3} \\ = > R_{e} = \frac{3}{2} = 1.5Ω$

Therefore,The effective resistance between points p and q is 1.5Ω

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