The maximum power drawn out of the cell from a source is given by (where $r$ is internal resistance)
Medium
Download our app for free and get startedPlay store
$i = \frac{E}{{r + R}}$ $ \Rightarrow $ $P = {i^2}\,R$ $ \Rightarrow $ $P = \frac{{{E^2}R}}{{{{(r + R)}^2}}}$

Power is maximum when $r = R$ $ \Rightarrow $ ${P_{\max }} = {E^2}/4r$

art

Download our app
and get started for free

Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*

Similar Questions

  • 1
    Resistance of one carbon filament and one tungsten lamp are measured individually when the lamp are lit and compared with their respective resistances when cold. Which one of the following statements will be true
    View Solution
  • 2
    The effective resistance between the points $A$ and $B$ in the figure is ............. $\Omega$
    View Solution
  • 3
    A wire of a certain material is stretched slowly by ten percent. Its new resistance and specific resistance become respectively
    View Solution
  • 4
    Of the two bulbs in a house hold circuit, one glows brighter than the other, Which of the two bulbs has a large resistance?
    View Solution
  • 5
    In a potentiometer arrangement, a cell of $emf$ $1.25\; V$ gives a balance point at $35.0\; cm$ length of the wire. If the cell is replaced by another cell and the balance point shifts to $63.0\; cm ,$ what is the $emf$ of the second cell in $V$?
    View Solution
  • 6
    $10$ wires (same length, same area, same material) are connected in parallel and each has $1$ $\Omega$ resistance, then the equivalent resistance will be .............. $\Omega$
    View Solution
  • 7
    Three identical resistors $R_1=R_2=R_3$ are connected as shown to a battery of constant e.m.f. The power dissipated is ...........
    View Solution
  • 8
    The mechanism of the heat produced in a conductor when an electric current flows through it, can be explained on the basis of
    View Solution
  • 9
    What will be reading of voltmeter ................. $V$
    View Solution
  • 10
    A car battery of $e.m.f$. $12\,V$ and internal resistance $5 \times {10^{ - 2}}\,\Omega $, receives a current of $60\; A$ from external source, then terminal voltage of battery is 
    View Solution