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.

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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
Erɛ0
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.
d) Calculate the energy stored and suggest methods for increasing this.
Transcribed Image Text: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 Erɛ0 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. d) Calculate the energy stored and suggest methods for increasing this.
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