TS EAMCET · Physics · Current Electricity
A straight uniform wire of resistance \(36 \Omega\) is bent in the form of a semi-circular loop. The effective resistance between the ends of the diameter of the semi-circular loop is
- A \(\frac{56}{9} \Omega\)
- B \(\frac{36}{7} \Omega\)
- C \(\frac{99}{7} \Omega\)
- D \(\frac{77}{9} \Omega\)
Answer & Solution
Correct Answer
(D) \(\frac{77}{9} \Omega\)
Step-by-step Solution
Detailed explanation
\(R_{arc} = R_{total} \frac{\pi}{\pi+2}\); \(R_{diam} = R_{total} \frac{2}{\pi+2}\) \(R_{eff} = \frac{R_{arc} R_{diam}}{R_{arc} + R_{diam}} = R_{total} \frac{2\pi}{(\pi+2)^2}\)…
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