For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism
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For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism
For more information, please see full course syllabus of AP Physics C/Electricity and Magnetism
More on Filled Capacitors
 An electric field E exerts a torque on an electric dipole of diploe moment p. The torque is p*E*sin(theta), where theta is the angle between the Efield and the dipole moment vector. The torque tends to align the dipole with the field.

The potential energy of an electric dipole placed in an electric
field is
U = –p.E = p*E*cos(theta).
 When a parallel plate capacitor is filled with a dielectric (insulator) of dielectric constant K, the dielectric becomes polarized (a dipole moment is induced in the dielectric). This, in turn, causes a reduction in the value of E by K, and a corresponding increase in the value of the capacitance by K.
 Examples that show how to calculate the capacitance of a parallel plate capacitor if it is partially filled with a metal or a dielectric are given in the lecture.
More on Filled Capacitors
Lecture Slides are screencaptured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.
 Intro 0:00
 Electric Dipole is an Electric Field : Torque 0:13
 Magnitude of Dipole
 Starts to Rotate
 Force qe to the Right
 Finding the Torque
 Electric Dipole is an Electric Field : Potential Energy 13:56
 Electric Field Try's to Rotate
 Object on Center of Earth
 Applying Torque Equal and Opposite
 Water Molecule 25:43
 Carbon Molecules
 Net Dipole Moment is Zero
 Induced Dipole Moment
 Filled Capacitor 35:27
 Empty Capacitor with Charge on it
 Inserting a Dielectric
 Capacitor Partially Filled with Metallic Slab 44:33
 Capacitor with Slab of Distance 'd'
 Capacitor Partially Filled with a Dielectric Slab 51:59
 Change in Potential Difference
 Example 1: Parallel Plate Capacitor
 Example 2: Conducting Slab
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