Question

Calculate the potential difference between points $A$ and $B$. (in $V$ )

Answer 1

Answer: 50.00

In Circuit $3\Omega ,10\Omega$ and $15\Omega$, resistance is in parallel
So $\frac{1}{R_1}=\frac{1}{3}+\frac{1}{10}+\frac{1}{15}$
$R_1=2\Omega$
$6\Omega$ and $3\Omega$ Resistance are in parallel
$\frac{1}{R_2}=\frac{1}{6}+\frac{1}{3}$
$R_2=2\Omega$
Then $R_{\text{eq }}$ between $A$ and $B$
$R_{\text{eq }}=4+2+2+2=10\Omega$
Current in $15\Omega$ resistor
$I=\frac{V}{R}=\frac{10}{15}=\frac{2}{3}A$
Then current in $10\Omega$
$I=\frac{15}{10}\times \frac{2}{3}=1A$
and current in
$3\Omega =\frac{15}{3}\times \frac{2}{3}=\frac{10}{3}A$
Total current in circuit
$=\frac{2}{3}+1+\frac{10}{3}$
$I=5A$
Potential difference between $A$ and $B$
$V_{AB}=$ Total Resistance $\times$ Current
$=R_{eq}\times I$
$=10\times 5$
$V_{AB}=50$ Volt
Hence $V_{AB}=50$ volt