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This is the question I am struggling with enter image description here

I have found a node equation:

$$ I_3 = I_1 + I_2 $$

I have found two loop equations:

$$ 50 = I_3 + R_1 \times I_1 $$

$$ 50 = I_3 + R_2 \times I_2 $$

I'm not sure what the third loop equation is.

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Your two loop equations are incorrect. I3 should not appear in either equation. For one, the units don't match: I3 is a current while R1*I1 and R2*R2 are voltages.Since your have 3 unknowns and 3 equations, a third loop equation is unnecessary. You could create a third loop equation using the loop around R1 and R2 but it does not yield any additional information about the unknown quantities: I1, I2 and I3.

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  • \$\begingroup\$ In that case, what would the loop equations be? I'm totally lost \$\endgroup\$ – Spartasporter Apr 22 '18 at 3:10
  • \$\begingroup\$ So two of them would be: 50 = I2R2 and 50 = I1R1? \$\endgroup\$ – Spartasporter Apr 22 '18 at 3:16
  • \$\begingroup\$ Yep @Spartasporter \$\endgroup\$ – Mitu Raj Apr 22 '18 at 5:47
  • \$\begingroup\$ What would the third loop equation be then? \$\endgroup\$ – Spartasporter Apr 22 '18 at 6:07
  • \$\begingroup\$ @Spartasporter You should read what Barry has written. "You could create a third loo...". \$\endgroup\$ – Harry Svensson Apr 22 '18 at 6:16

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