Question
State Kirchhoff's rules of current distribution in an electrical network. Using these rules determine the value of the current I1 in the electric circuit given below.
✓
Answer
Junction Rule: At any junction of several circuit elements the sum of currents entering the junction must be equal to the sum of currents leaving it.Loop Rule: Algebraic sum of changes in the potential around any closed loop must be zero.
Loop ABCFA
$\text{I}_{1} + 2\text{I}_{3} = 2 ........................$ (1)
Loop FCDEF
$2\text{I}_{3} + \text{I}_{2} = 6 .................................$(2)
At F, $\text{I}_{1} + \text{I}_{2} = \text{I}_{3} ........................................$(3)
Solving (1), (2) and (3)
$\text{I}_{1} = - 0.8 \text{A}$
Loop ABCFA
$\text{I}_{1} + 2\text{I}_{3} = 2 ........................$ (1)
Loop FCDEF
$2\text{I}_{3} + \text{I}_{2} = 6 .................................$(2)
At F, $\text{I}_{1} + \text{I}_{2} = \text{I}_{3} ........................................$(3)
Solving (1), (2) and (3)
$\text{I}_{1} = - 0.8 \text{A}$
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