In an electric circuit, a call of certain emf provides
Question:

In an electric circuit, a call of certain emf provides

a potential difference of $1.25 \mathrm{~V}$ across a load

resistance of $5 \Omega$. However, it provides a potential difference of $1 \mathrm{~V}$ across a load resistance of $2 \Omega$. The emf of the cell is given by $\frac{x}{10} \mathrm{~V}$. Then the

value of $x$ is__________

Solution:

Terminal voltage $v=i R=\frac{E R}{R+r}$

$1^{\mathrm{st}} \rightarrow 1.25=\frac{E(5)}{5+r}$ …….(I)

$2^{\text {nd }} \rightarrow 1=\frac{E(2)}{2+r} \ldots$ (ii)

By (i) and (ii)

$\mathrm{r}=1 \Omega, \mathrm{E}=\frac{3}{2} \mathrm{~V}=\frac{15}{10} \mathrm{volt}$

$\Rightarrow x=15$