Midterm_1_Review_9HD

# The force between one point charge and the conductor

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The force between one point charge and the conductor is due to the force between the charge and the induced charged on the conductor. This force is equal to the force between the point charge and the image charge. Capacitance Q=CV, or ϕ = Q C (in cm) Capacitance depends only on geometry (and presence of dielectric material) Calculate capacitance by using Gauss’s Law to compute E r field with charge Q on one conductor, -Q on the other conductor, then compute potential difference (voltage) by doing line integral over E r field, i.e., = l d E r r ϕ , then use C=Q/ ϕ to find capacitance. Standard geometries: Parallel plates s A C π 4 = Know how to calculate capacitance of concentric spheres and coaxial cable. Energy in capacitor, C Q CV QV U 2 2 2 1 2 1 2 1 = = = Capacitors in series: Same magnitude of charge on all electrodes, n eq C C C C C 1 ... 1 1 1 1 3 2 1 + + + + = Capacitors in parallel: Same voltage across each capacitor, n eq C C C C C + + + + = ... 3 2 1
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