Question

The total resistance between x and y in ohms is :-

• A. 1 $\Omega$
• B. 4 $\Omega$
• C. $\frac{4}{3}\Omega$
• D. $\frac{3}{4}\Omega$

Answer 1

The correct option is C $\frac{4}{3}\Omega$

From the figure, resistance across X and Y is

8 ohm and 2ohm are in parallel and 4 ohm and 6 ohm are in parallel. 4 ohm and 4 ohm are also in parallel.

So, equivalent between 8 ohm and 2 ohm

$\frac{1}{R_{eq1}}=\frac{1}{8}+\frac{1}{2}$

$R_{eq1}=\frac{8}{5}\Omega$

Equivalent between 4 ohm and 6 ohm

$\frac{1}{R_{eq2}}=\frac{1}{4}+\frac{1}{6}$

$R_{eq2}=\frac{12}{5}\Omega$

These two resistors are in series.

$R_{eq3}=\frac{20}{5}=4\Omega$

Now, $R_{eq3},4\Omega and4\Omega$are in parallel

$\frac{1}{R_{eq4}}=\frac{1}{4}+\frac{1}{4}+\frac{1}{4}$

$R_{eq4}=\frac{4}{3}\Omega$