Question

Case study $\left(1\right)$

A car battery with a $12\text{V}$ of emf and an internal resistance of $0.04\Omega$ is being charged with a current of $50\text{A}.$

$\left(ii\right)$The rate at which energy is being dissipated as heat inside the battery is

• A. $100\text{W}$
• B. $200\text{W}$
• C. $700\text{W}$
• D. $600\text{W}$

Answer 1

The correct option is A $100\text{W}$

Given, $i=50\text{A};r=0.04\Omega$

The rate at which energy is being dissipated as heat is,

$H=\frac{Q}{t}=i^{2}r$

$=(50{)}^2\times 0.04=50\times 50\times 0.04$

$=100\text{W}$

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, $\left(A\right)$ is the correct answer.