Five equal resistance, each of resistance \(\mathrm{R}\), are connected as shown in figure below. A battery of \(\mathrm{V}\) volt is connected between \(A\) and \(B\). The current flowing in \(\mathrm{FC}\) will be

• A

  \(\frac{3 \mathrm{~V}}{\mathrm{R}}\)
• B

  \(\frac{V}{R}\)
• Correct answer
  C

  \(\frac{\mathrm{V}}{2 \mathrm{R}}\)
• D

  \(\frac{2 \mathrm{~V}}{\mathrm{R}}\)

Solution

Hints:
\(\mathrm{I}=\frac{\mathrm{V}}{\mathrm{R}} \therefore \text { Current in } \mathrm{FC}=\frac{\mathrm{I}}{2}=\frac{\mathrm{V}}{2 \mathrm{R}}\)

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