KCET · Physics · Current Electricity
Effective resistance between \( A \) and \( B \) in the following circuit
- A \( 10 \Omega \)
- B \( 20 \Omega \)
- C \( 5 \Omega \)
- D \( \frac{20}{3} \Omega \)
Answer & Solution
Correct Answer
(A) \( 10 \Omega \)
Step-by-step Solution
Detailed explanation
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 \(\mathrm{B}, \mathrm{R}_{\mathrm{eq}}=(10+10)\|(10+10)=20\| 20\)
\(\therefore \quad \mathrm{R}_{\text {eq }}=\frac{20 \times 20}{20+20}=10 \Omega\)
Wheat stone bridge i.e. \(\frac{10}{10}=\frac{10}{10}\)
Equivalent resistance between \(\mathrm{A}\) and \(\mathrm{B}, \mathrm{R}_{\mathrm{eq}}=(10+10)\|(10+10)=20\| 20\)
\(\therefore \quad \mathrm{R}_{\text {eq }}=\frac{20 \times 20}{20+20}=10 \Omega\)
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