.............. $A$ the current flowing through the resistance $R_2$ of the circuit shown in fig if the resistance are equal to $R_1 = 20\ \Omega, R_2 = 30 \ \Omega$ and $R_3 = 60 \ \Omega$ and potentials of points $1, 2$ and $3$ are equal to $V_1= 20\, V,$ $V_2 = 30\ V$ and $V_3 = 60\ V$
Diffcult
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Suppose $V_{0}$ is the potential at Point $\mathrm{O}$ Apply Nodel Method
$\frac{\mathrm{V}_{0}-\mathrm{V}_{1}}{\mathrm{R}_{1}}+\frac{\mathrm{V}_{0}-\mathrm{V}_{2}}{\mathrm{R}_{2}}+\frac{\mathrm{V}_{0}-\mathrm{V}_{3}}{\mathrm{R}_{3}}=0$
$\frac{\mathrm{V}_{0}-20}{20}+\frac{\mathrm{V}_{0}-30}{30}+\frac{\mathrm{V}_{0}-60}{60}=0$
$6 V_{0}=180$
$V_{0}=30 \,V$
$\mathrm{i}_{2}=\frac{\mathrm{V}_{0}-\mathrm{V}_{2}}{\mathrm{R}_{2}}=\frac{30-30}{\mathrm{R}_{2}}=0$
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