Effective resistance between \( A \) and \( B \) in the following circuit

• Correct answer
  A

  \( 10 \Omega \)
• B

  ( \( 20 \Omega \)
• C

  \( 5 \Omega \)
• D

  \( \frac{20}{3} \Omega \)

Solution

Equivalent circuit of the given circuit is shown above which is a balanced Wheat stone bridge i.e. \(\frac{10}{10}=\frac{10}{10}\) Equivalent resistance between \(\mathrm{A}\) and \(\mathrm{B}, \mathrm{R}_{\mathrm{eq}}=(10+10)\|(10+10)=20\| 20\) \(\therefore \quad \mathrm{R}_{\text {eq }}=\frac{20 \times 20}{20+20}=10 \Omega\)

Hence, the correct answer is option: 'A'.