Question

Each capacitor shown has capacitance of $2\mu F$. Choose the correct option(s).

• A. Charge on capacitor B is $4\mu C$
• B. Charge on capacitor C is $8\mu C$
• C. Equivalent capacitance of system is $1\mu F$
• D. Equivalent capacitance of system is $\frac{4}{5}\mu F$

Answer 1

Answer: (A), (B), (D)

The correct options are
A Charge on capacitor B is $4\mu C$
B Charge on capacitor C is $8\mu C$
D Equivalent capacitance of system is $\frac{4}{5}\mu F$


As we can see wire pq short circuits all capacitor's behind it.
So, $C_{eq}$ = $\frac{\left(1\right)\left(4\right)}{1+4}=\frac{4}{5}\mu F$

Now, charge on complete system : $\frac{4}{5}\times 10=8\mu C$

As the 3 capacitors A, C and $1\mu F$ are in series, the charge on C will be $8\mu C$.

B and D are in parallel and have same capacitance, so the charge will be distributed equally.
As charge on $1\mu F$ is $8\mu C$, capacitor B will be having $4\mu C$.