Electrostatics Question 551
Question: The capacities and connection of five capacitors are . The potential difference between the points $ A $ and $ B $ is $ 60\ volts $ . Then the equivalent capacity between $ A $ and $ B $ and the charge on $ 5\mu F $ capacitance will be respectively
Options:
A) $ 44\mu F;\ 300\mu C $
B) $ 16\mu F;\ 150\mu C $
C) $ 15\mu F;\ 200\mu C $
D) $ 4\mu F;\ 50\mu C $
Show Answer
Answer:
Correct Answer: D
Solution:
The given circuit can be redrawn ass follows Equivalent capacitance of the circuit
$ C _{AB}=4\mu F $ Charge given by the battery $ Q=C _{eq}V=4\times 60=240\mu C $
Charge in 5mF capacitor $ Q’=\frac{5}{(10+5+9)}\times 240=50\mu C $
