Q110 / 120 · VITEEE 2011 · Physics

Five resistances are connected as shown in the figure. The effective resistance between points $\mathrm{A}$ and $\mathrm{B}$ is Figure

  • Correct answer
    A
    $\frac{10}{3} \Omega$
  • B
    $\frac{10}{17} \Omega$
  • C
    $40 \Omega$
  • D
    $45 \Omega$

Solution

It is a parallel combination of three resistances, each of $10 \Omega$. $\therefore \quad$ The effective resistance between points $\mathrm{A}$ and $\mathrm{B}$. $\begin{array}{l} \frac{1}{R}=\frac{1}{10}+\frac{1}{10}+\frac{1}{10} \\ \text { or } \quad R=\frac{10}{3} \Omega \end{array}$

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

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