Determine the current in each branch of the circuit shown in FigureP18.17. ( R =

Question

Determine the current in each branch of the circuit shown in FigureP18.17. (R = 7.00 , V = 14.0 V). branch containing resistor R 1
. A branch containing the 4.00 V source 2 A branch containing the voltage source V 3 A

Figure P18.17

Explanation / Answer

x.Xe="margin-top: 0px; margin-right: 0px; margin-bottom: 0px; margin-left: 0px; padding-top: 0px; padding-right: 0px; padding-bottom: 0px; padding-left: 0px; list-style-type: none; list-style-position: initial; list-style-image: initial; "> Left loop: i1 Right loop: i2 Loop i1: 7i1 + 5(i1 - i2) + 1(i1 - i2) + 4 = 0    13i1 - 6i2 = -4 (1) Loop i2: 3i2 + i2 + 14 - 4 + 1(i2 - i1) + 5(i2 - i1) = 0    -6i1 + 10i2 = -10 (2) From (1) & (2): i1 = (-50/47) i2 = (-77/47) current for resistor R = -i1    = 1.06 A (from top to bottom) or

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