2.- A cylindrical capacitor of 1 m high and 1 m diameter, is previously empty between its two conducting elements. At the beginning, this cylindrical capacitor is connected to a 12 volt battery. Subsequently, it is disconnected from the battery and the vacuum between its conductive elements is filled with a dielectric material whose dielectric constant is 6. The radius of the central inner conductor element is 30 cm and the inner radius of the outer conductor element is 40 cm. a) What is the value of the capacitance and the charge before and after inserting the dielectric material? b) How much is the potential difference between its conducting elements before and after inserting the dielectric material? c) How much is the electric field before and after inserting the dielectric at 35 cm from the center of the capacitor? Important note: Use the approximation of Gauss's law for electric fields. You have to make the drawing.
2.- A cylindrical capacitor of 1 m high and 1 m diameter, is previously empty between its two conducting elements.
At the beginning, this cylindrical capacitor is connected to a 12 volt battery. Subsequently, it is disconnected from the battery and the vacuum between its conductive elements is filled with a dielectric material whose dielectric constant is 6. The radius of the central inner conductor element is 30 cm and the inner radius of the outer conductor element is 40 cm.
a) What is the value of the capacitance and the charge before and after inserting the dielectric material?
b) How much is the potential difference between its conducting elements before and after inserting the dielectric material?
c) How much is the electric field before and after inserting the dielectric at 35 cm from the center of the capacitor?
Important note: Use the approximation of Gauss's law for electric fields. You have to make the drawing.
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