When a potential difference of `10^(3)V` is applied between A and B, a charge of 0.75 mC is stored in the system of capacitors as shown. The value of C is (in `mu` F)

Options

A. `(1)/(2)`
B. 2
C. 2.5
D. 3

Answer

B

Explanation

Points A and B are not mentioned in the question paper. Assuming the points A and B as follows

The equivalent circuit of the given network is as shown in the figures.


Hence, the equivalent capacitance between A and B
`C_(eq) = (1(C+1))/(1+C+1) = (C+1)/(C+2)`
The charge stored on the system of capacitors is
`Q= 0.75mA = 0.75 xx 10^(-3)A`
As `Q= C_(eq) V`
`:. 0.75 xx 10^(-3) = ((C+1))/((C+2)) xx 10^(3)` C=2