Question

What is the resistance between P and Q?

पर्याय

• 1 Ω

• 2 Ω

• 3 Ω

• 2.5 Ω

Answer 1

1 Ω

Explanation:

The two resistors of \(2\,\Omega\) on the right are connected in parallel.

\[ \frac{1}{R_1}=\frac{1}{2}+\frac{1}{2} \]

\[ =\frac{1 + 1}{2}\]

\[ =\frac{2}{2}\]

\[=1\,\Omega \]

This combination is connected in series with the \(1\,\Omega\) resistor.

\[ R_2=1+1\]

\[ =2\,\Omega \]

This combination is connected in parallel with the left \(2\,\Omega\) resistor.

\[ R=\frac{2\times2}{2+2} \]

\[ =\frac{4}{4} \]

\[{=1\,\Omega} \]