Current Electricity Charging Discharging Of Capacitors Question 646

Question: The maximum power drawn out of the cell from a source is given by (where r is internal resistance)

[DCE 2002]

Options:

A) $ E^{2}/2r $

B) $ E^{2}/4r $

C) $ E^{2}/r $

D) $ E^{2}/3r $

Show Answer

Answer:

Correct Answer: B

Solution:

$ i=\frac{E}{r+R} $

Therefore $ P=i^{2},R $

Therefore $ P=\frac{E^{2}R}{{{(r+R)}^{2}}} $ Power is maximum when r = R

Therefore $ {P _{\max }}=E^{2}/4r $