Question

n 2D PHYS212 Pennington NAME: 2) [25pts] Find three distinct equations involving the unknown currents in the figure (Ii, I2. I3). You do not need to solve these equations, but plug in all numbers to the formulas except the unknown currents. Show all work for credit. 0.512 R 2.5 Ω l2 R 10Ω Rs 12 0.5 Ω Eq= 47 V

Answer 1

Apply KVL in the upper loop -

20 V = 0.5*I2 + 10*I1 + 2.5*I2

=> 10*I1 + 3*I2 = 20---------------------------------------------(i)

Now, apply KVL in the lower loop -

47 V = 0.5*I3 + 1.5*I3 + 10*I1

=> 10*I1 + 2.0*I3 = 47 ---------------------------------------(ii)

At the node 'a' apply KCL -

I1 = I2 + I3 -----------------------------------------(iii)

So, the above (i), (ii) and (iii) are three distinct equations which are your answers.