Q94 / 180 · JIPMER 2015 · Physics

A wire of resistance $10 \Omega$ is bent to form a complete circle. Find its resistance between two diametrically opposite point. Figure

  • A
    $5 \Omega$
  • Correct answer
    B
    $2.5 \Omega$
  • C
    $1.25 \Omega$
  • D
    $\frac{10}{3} \Omega$

Solution

The wires $A D C$ and $A B C$ will have resistance $5 \Omega$ each. These two are joined in parallel between $A$ and $C$. The equivalent resistance $R$ between $A$ and $C$ is, therefore given by $R=\frac{5 \Omega \times 5 \Omega}{5 \Omega+5 \Omega}=2.5 \Omega$

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

Relevant Questions