Question

20. State Kirchhoff's rules. Apply Kirchhoff's rules to
the loops ACBPA and ACBQA to write the
expressions for the currents 11,12 and 13 in the
network.
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Answer 1

$x_{3}$Answer:

Kirchhoff’s Rules

1  Kirchhoff’s first rule—the junction rule. The sum of all currents entering a junction must equal the sum of all currents leaving the junction.

2  Kirchhoff’s second rule—the loop rule. The algebraic sum of changes in potential around any closed circuit path (loop) must be zero.

From the figure

  $I_{3}= I_{1}+ I_{2}$

In loop ACBPA,

-Rc*I3+Vp-Rp*I1=0

-12*I3+6-0.5*I1=0

0.5$I_{1}$+12$I_{3}$=6

In loop ACBQA,

-Rc*I3+Vq-Rq*I2=0

-12*I3+10-1*I2=0

12$I_3}$+$I_{2}$=10

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