**86. None of the resistors in the circuit shown in the drawing is connected in series or in parallel with one another. Find (a) the current I5 and the resistances (b) R2 and (c) R3.

Below is an annotated circuit identifying more specifically currents and Voltage points. Where a letter repeats that implies that all such points are electrically the same. We have six currents of which four are known, but we can use current in and out of nodes to find the missing currents.

At point B, we have a current node equation that looks like

At point C, we have a current node equation that looks like

Note look at point D

Solve for i₄

Minus sign says i₄ goes the other way and by inspection you can see the currents in and out of point A work. So we know

To find the unknown resistors we must do a voltage walk and solve the resistance. For R₂ do a voltage loop counterclockwise from C back to point C, so the upper left loop.

For R₃ do the right loop and do a voltage walk from C to C but this time counter-clockewise.

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This page last updated on June 19, 2018