In the circuit shown in Figure P3.5, the mesh currents are I1 = 5A I2 = 3A I3 = 7A Determine the branch currents through:
a. R1.
b. R2.
c. R3.
Known quantities:
Circuit shown in Figure P3.5 with mesh currents: I1 = 5 A, I2 = 3 A, I3 = 7 A.
Find:
The branch currents through:
a) R1,
b) R2,
c) R3.
Analysis:
a) Assume a direction for the current through (e.g., from node A toward node B). Then summing currents at node A:
This can also be done by inspection noting that the assumed direction of the current through R1 and the direction of I1 are the same.
b) Assume a direction for the current through R2 (e.g., from node B toward node A). Then summing currents at node B:
This can also be done by inspection noting that the assumed direction of the current through R2 and the direction of I3 are the same.
c) Only one mesh current flows through R3. If the current through R3 is assumed to flow in the same direction, then:
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