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  4. Three resistances each of 4 Ω are connected to form a triangle. The resistance between any two terminals is

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Q. Three resistances each of $4\, \Omega$ are connected to form a triangle. The resistance between any two terminals is

AIPMTAIPMT 1993Current Electricity

Solution:

The two resistances are connected in series and the resultant is connected in parallel with the third resistance.
$\therefore R= 4\, \Omega+4\, \Omega=8\, \Omega$
and $\frac{1}{R''}=\frac{1}{8}+\frac{1}{4} =\frac{3}{8}$
or $R''=\frac{8}{3} \Omega$