Two equal capacitors are first connected in series and then in parallel. The ratio of the equivalent capacities in the two cases will be :

For the given input voltage waveform V_in(t), the output voltage waveform V₀(t), across the capacitor is correctly depicted by :

A parallel plate capacitor has plate of length 'l', width ‘w’ and separation of plates is ‘d’. It is connected to a battery of emf V. A dielectric slab of the same thickness ‘d’ and of dielectric constant k = 4 is being inserted between the plates of the capacitor. At what length of the slab inside plates, will the energy stored in the capacitor be two times the initial energy stored?

In the circuit shown, charge on the 5 $$\mu $$F capacitor is :