A capacitor having a capacitance of `100 mu f` is changed to a potential difference of `50V.`(a) What is the magnitude of the charge on each plate? (b)The charging battery is disconnected and a dielectric of dielectric constant 2.5 is inserted . Calculate the new potential difference between the plate .(c) What charge would have producted this potential difference in absence of the dielectric slab.(d) Find the charge induced at a surface of the dielectric slab.