Question

Consider the circuit shown in figure (32-E19a). Find (a) the current in the circuit, (b) the potential drop across the 5$\Omega$ resistor, (c) the potential drop across the 10$\Omega$ resistor. (d) Answer the parts (a), (b) and (c) with reference to figure (32-E19b)

Answer 1

(a)$\text{ApplyingKirchoff's law,}$

$\Rightarrow 10i-6+5i-12=0$

$\Rightarrow 10i+5i=18$

$\Rightarrow 15i=18$

$i=\frac{18}{15}=\frac{6}{5}=1.2A$

(b)$\text{Potential drop across 5}\Omega \text{register,}$

$i5=1.2\times 5V=6V$

(c)$\text{Potential drop across 10}\Omega register,$

$i10=1.2\times 10V=12V$

(d) $10i+5i-6-12=0$

$\Rightarrow 15i=18$

$\Rightarrow i=1.2$

$\text{Potential drop across 5}\Omega register,$

=$6$V $\text{Potential drop across 10}\Omega register,$

=$12$ V