τ=RC=(6||3)×5 mF=10 msec
Let, VC(t=10 msec)=V0
In negative half cycle,
τ=RC=(6||3)×5 mF=10 msec
As time constant in both +ve and -ve cycle are equal , capacitor discharged to zero in -ve half cycle. Voltage across the capacitor after one cycle (150=20m sec) is zero
∴ Voltage across the capacitor after 10 cycles (200 msec) is also zero.
∴VC(t=200 msec)=0