How can I get the equation of i2=? Junction rule (consequences of the charge con

Question

How can I get the equation of i2=?

Junction rule (consequences of the charge conservation) - The algebraic sum of the currents into any junction is equal to zero (Note: a junction is where 3 or more wires inset. Sigmak ik = 0 By convention the currents entering the junction are positive while the currents exiting the junction are negative. Loop rule (consequence of the energy conservation). The algebraic sum of the potential differences in any loop, including those associated with emfs and those of resistive elements, must equal zero. Sigmak Vk = 0 The figure on the right gives the sign convention for the loop rule for the voltage differences across emfs and resistance, as a function of the direction of travel and direction of the current through the component.

Explanation / Answer

at junction B i1_i2+i3=0......(1)

at junction E i2-i1-i3=0

loop ABEF e1-i1R1-i2R2=0....(2)

loop BCDE i3R3-e2+i2R2=0....(3)

loop ACDF -i1R1+i3R3-e2+e1=0....(4)

e1=i1R1+i2R2 e2=i3R3+i2R2

e1-e2=i1R1-i3R3solve we get for i2

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