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Equivalent Resistance of a System of Resistor

A current of ...

Question

A current of $6 A$ enters one corner $P$ of an equilateral triangle $△ P Q R$ having $3$ wires of resistance $21 Ω$ each and leaves by the corner $R$ . The currents $i_{1}$ in ampere is______.

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Solution

The current $i_{1} = (\frac{R_{2}}{R_{1} + R_{2}}) i$
$i_{1} = (\frac{2}{4 + 2}) \times 6$
$i_{1} = 2 A$

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Equivalent Resistance of a System of Resistor

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