I recently had an exam with the following multiple choice problem:
Consider the circuit below:
The node voltage equation for node A is which of the following?:
- \$ \frac{V_A-kV_a}{R_1}+ \frac{V_A-V_3}{R_2} + \frac{V_A-V_B}{R_6} = 0 \$
- \$ \frac{V_A+kV_A}{R_1} + \frac{V_A-V_3}{R_2} + \frac{V_A-V_B}{R_6} = 0 \$
- \$ \frac{V_A-kV_A}{R_1} + \frac{V_A+V_3}{R_2} + \frac{V_A+V_B}{R_6} = 0 \$
- \$ \frac{V_A+kV_A}{R_1} + \frac{V_A+V_3}{R_2} + \frac{V_A+V_B}{R_6} = 0 \$
- \$ \frac{2V_A}{R_1} + \frac{V_A+V_3}{R_2} + \frac{V_A+V_B}{R_6} = 0\$
- \$ \frac{V_A-V_3}{R_2} + \frac{V_A-V_B}{R_6} = 0\$
My attempt
This is how I would make the node voltage equation for node A:
\$ \frac{V_A}{R_1} + \frac{V_A-V_3}{R_2} + \frac{V_A-V_B}{R_6} + ki_1 = 0 \$
But as you can see, it doesn't match any of the options above and I can't figure out how I'm supposed to reach on of those solutions.
Can somebody help me out?