Write out your equations for the circuit pictured above, using variables for cur

Question

Write out your equations for the circuit pictured above, using variables for current (r1, r2, r3), resistance (R1, R2, R3), and battery emf (E1, E2, E3). Capitalization matters; enter "E1", not "e1". Also, don't enter an equals sign in your answer! (Notice that for all the answer boxes below, the right-hand side of the equation is already provided.) Write a formula for the current junction rule. Write a voltage loop formula for the left-side loop of this system. (e.g., something in the form "E1 - I2*R2 + 3.1416*E2", or similar.) Write a voltage loop formula for the right-side loop of this system.

Explanation / Answer

a) At node c, I2=I1+I3.

In addition, all the voltages between c and f must be equal. Therefore,
E1 + I1*R1 = E2 - I2*R2 = E3 + I3*R3

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