Find the voltage $V_2$ across $R_2$ for the given circuit

• A

  $0.56 \mathrm{~V}$
• B

  $1.61 \mathrm{~V}$
• C

  $0.63 \mathrm{~V}$
• Correct answer
  D

  Can not be determined.

Solution

Using Kirchhoff's loop rule, we get $$ \begin{aligned} 12 V & =8 i_1+2\left(i_1-i_2\right) \\ 6 V & =2\left(i_2-i_1\right)+i_2 R_3+2 i_2 \end{aligned} $$
As value of $R_3$ is not given solution cannot be found (data insufficient).

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