Question

In the following circuit potential at point 'A' is zero. Which resistance consumes maximum power?

Answer 1

$V_A=V_B=V_C=V_D=0$ as they are one junction

Similarly

$V_E=V_F=V_G=V_H=10$

as they are one junction

Applying loop law in $AEFR$ Applying loop rule in $AEGC$

$10V+5V-1\times i_1=0$ $10-2i_2-15=0$

$15-i_1=0$ $5=2i_2$

$i=15A$ $i=\frac{5}{2}=2.5A$

Let $2-i_1-i_2=i_3$

Applying loop rule in $AEHD$

$10+5-3i_3=0$ $I-i_1-i_2=i_3$

$15-3i_3=0$ $I=i_1+i_2+i_3$

$i_3=5A$ $=22.5A$

Power dissipated by $1\Omega$ resistor

$P=I_1^{2}R={15}^2\times 1=225w$

Power dissipated by $2\Omega$ resistor

$P=I_2^{2}R=(2.5{)}^2\times 2=12.5w$

Power dissipated by $3\Omega$ resistor

$P=i_{3}R=5^2\times 3=75w$

Max power dissipated by $1\Omega$ resistor between $BF$