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A parallel plate capacitor of Capacitance $$5\mu F$$ is connected to a battery of EMF 6 V. The separation between the plates is 2 mm then,
$$(a)$$ Find the charge on the positive plate
$$(b)$$ Find the electric field between the plates
$$(c)$$ A dielectric slab of thickness 1 mm and dielectric constant 5 Inserted into the gap to occupy the Lower half of it. find the capacitance of the new combination
$$(d)$$ How much charge has flown Through the battery after the slab is inserted

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