In the circuit shown, the cell is ideal , with `emf= 15 V`. Ecah resistance is of `3 Omega.` the potential difference across the capacitor is

Options

A. zero
B. `9V`
C. `12V`
D. `15V`

Answer

C

Explanation

`R_(eq) = 5 Omega`
`I = (15)/(5) = 3A`
`i_(2) = (3)/(3+6) I = 1/3xx3 = 1A`
`V_(X)-i_(2) xx 3 - I xx 3 = V_(Y)`
`V_(X)-V_(Y) = 3i_(2)+3i = 3(i_(2)+i)`
`=3(1+3) = 12V`.