2020 Phase-2 Current ElectricityKirchhoff's voltage law - multi-loop circuits Medium Question 47 of 130 in Current Electricity

For the circuit given below, the Kirchoff's loop rule for the loop BCDEB is given by the equation

A $-i_2R_2+E_2+E_3+i_3R_1=0$
B $-i_2R_2+E_2-E_3+i_3R_1=0$
C $i_2R_2+E_2-E_3-i_3R_1=0$
D $i_2R_2+E_2+E_3+i_3R_1=0$

The answer is C.

Solution

Applying Kirchhoff's voltage law around loop BCDEB, summing the potential drops/rises due to the EMFs and $iR$ terms encountered while traversing the loop in the given direction, gives $i_2R_2+E_2-E_3-i_3R_1=0$.

Concept Kirchhoff's voltage law - multi-loop circuits

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130 questions from this chapter have appeared across 27 exam years.