Current Electricity Charging Discharging Of Capacitors Question 636

Question: When a resistor of 11 W is connected in series with an electric cell, the current flowing in it is 0.5 A. Instead, when a resistor of 5 W is connected to the same electric cell in series, the current increases by 0.4 A. The internal resistance of the cell is

[EAMCET 2001]

Options:

A) 1.5 W

B) 2 W

C) 2.5 W

D) 3.5 W

Show Answer

Answer:

Correct Answer: C

Solution:

By using $ i=\frac{E}{R+r} $
$ \Rightarrow 0.5=\frac{E}{11+r} $

Therefore $ E=5.5+0.5r $ ..?(i) and $ 0.9=\frac{E}{5+r} $

Therefore $ E=4.5+0.9r $ ..?(ii) On solving these equation, we have $ r=2.5\Omega $