A parallel plate capacitor is made from two metal plates of area 0.1 m? and separated by an insulating layer of relative permittivity 1.5 and a thickness of 2 mm. a) Sketch the electrostatic field between the plates when this capacitor is connected to a d.c. voltage source of 12 V. b) Using Gauss' law, show that the electrostatic field at the centre of the plate is given, in the usual - notation, by, E Erɛo c) Derive an equation for the capacitance of the capacitor and calculate its value. Take the permittivity of free space to be 8.85 x 10-12 Fm-1.

A parallel plate capacitor is made from two metal plates of area 0.1 m? and separated by an insulating layer of relative permittivity 1.5 and a thickness of 2 mm. a) Sketch the electrostatic field between the plates when this capacitor is connected to a d.c. voltage source of 12 V. b) Using Gauss' law, show that the electrostatic field at the centre of the plate is given, in the usual - notation, by, E Erɛo c) Derive an equation for the capacitance of the capacitor and calculate its value. Take the permittivity of free space to be 8.85 x 10-12 Fm-1.