Question

If $10$ cells each of $1.4volt$ are connected in parallel, their equivalent potential difference will be:

• A. $1.4volt$
• B. $0.14volt$
• C. $14volt$
• D. $\frac{10}{1.4}volt$

Answer 1

Answer: (A)

$1.4volt$

Given : $E_n=1.4$ volts

$r_n=r$

$n=1,2,\mathrm{3......10}$

Equivalent resistance of parallel connection is $r_{eq}=\frac{r}{n}$

Equivalent potential difference of parallel connection $E_{eq}={\sum }_{n=1}^{10}$ $\frac{E_n}{r_n}{r}_{eq}$

$\therefore$ $E_{eq}=n\frac{E}{r}.\frac{r}{n}=E=1.4$ volts