Question

An apparatus is connected to an ideal battery as shown in figure. For what value of current, power delivered to the apparatus will be maximum?

• A. $\frac{E}{4R}$
• B. $\frac{E}{2R}$
• C. information insufficient
• D. $\frac{E}{R}$++

Answer 1

The correct option is B $\frac{E}{2R}$

Maximum power will be dissipated in the circuit when
$R_{\text{internal}}=R_{\text{external}}=R$
Therefore, total resistance $=R+R=2R$
Now
$\text{Current}=\frac{V}{R_{ext}}=\frac{E}{2R}$
Hence, option $\left(b\right)$ is correct.