In the circuit in the figure, determine the current in eachresistor and the volt

Question

In the circuit in the figure, determine the current in eachresistor and the voltage across the 70 resistor. (Indicate the direction of the current flowthrough each resistor through the sign of your answer. Take upwardcurrent flow as positive.)
current in 200 : 1 A
current in 80.0 : 2 A
current in 20.0 : 3 A
current in 70.0 : 4 A
voltage across 70 resistor:5 V Please help with problem. I know that you have to kirkoff'sRules and the loop rule but I'm stuck on how you would goabout that . Thansk in advance.

Explanation / Answer

   to get the result we apply the kirchoffsvoltage law to each of the loop    let the currents in the loops bei1, i2, i3 in the three loops inanticlockwise direction respectively    then we get    - 40 V + 200 i1 + 80(i1 - i2) = 0    360 V + 40 V + 80 (i2 -i1) + 20 (i2 - i3) = 0    - 80 V - 360 V +20 (i3 - i2) + 70 i3 =0    solve the three equations for the currentsi1, i2 and i3    the current through 200 isi1    the current through 80 isi2 - i1    the current through 200 isi1    the current through 80 isi2 - i1    the current through 20 isi3 - i2    the current through 70 isi3    the voltage across the 70 resistor isthe current flowing through that resistor multiplied by theresistance

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