JEE Main & Advanced
Physics
Electrostatics & Capacitance
Question Bank
Grouping of Capacitors
question_answer
Three capacitors each of capacitance \[1\mu F\]are connected in parallel. To this combination, a fourth capacitor of capacitance \[1\mu F\] is connected in series. The resultant capacitance of the system is [MP PMT 1985]
A) \[4\mu F\]
B) \[2\mu F\]
C) \[\frac{4}{3}\mu F\]
D) \[\frac{3}{4}\mu F\]
Correct Answer:
D
Solution :
The circuit can be drawn as follows \[\Rightarrow \,{{C}_{AB}}=\frac{3\times 1}{3+1}=\frac{3}{4}\mu F\]