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Plan for Today (AP Physics I) • Go over review problems • Go over complex circuits worksheet • In-class review Calculate the potential difference at a point in space • Due to one or more point charges – V = kq/r – Then you can add them up if you have multiple charges (remember, voltage is scalar, but may have signs) • In a uniform electric field – V = Ed, V = PE/q Calculate the electric potential energy • Due to one or more point charges – PE = -kq1q2/r2 • In a uniform electric field – PE = -qEd – Think about what signs mean – Also be able to relate to other energies (like KE) Parallel Plate Capacitors • Their basic structure • What a dielectric does • Equation C = q/V Types of Problem • Calculate the capacitance given area and distance • Calculate the capacitance given the charge and voltage • Calculate with a dielectric constant Capacitors in series and parallel circuits Series • Q’s are all equal • Vs add Parallel • Vs are all equal • Qs add Parallel vs. Series • Which would have the greatest equivalent capacitance? • Parallel • Why? • Least? • Series • Why? • Complex circuits (series and parallel) Types of Problems • Complex circuits – calculate equivalent capacitance • Complex circuits – calculate qs and vs on each capacitor • In series and parallel, calculate vs and qs on each capacitor Dielectric constant • Know how a dielectric works • Know how to apply these to the capacitance equation • What it does for capacitance Types of problems • Calculate capacitance given a k • Explain how dielectrics work Energy stored in a capacitor Types of Problem • Find the potential energy of a system given 2 of the following: charge, capacitance, or voltage Example 1 • A 5 uC charge is .6 m away from a 8 uC charge. Find the potential difference at a point halfway between them. Example 2 • An electron is moved between two parallel plates with an electric field of strength 300 N/C a distance of 2 mm. – What is the potential difference between the plates? – What is the potential energy of the charge? – What is the velocity of the electron when it is moved from the negative plate to the positive plate? Example 3 • A capacitor has an area of 15 square centimeters. The plates are separated by .5 mm. What is its capacitance? • What would the capacitance be if water was plates between the plates (dielectric constant of 80)? Example 4 • Calculate the equivalent capacitance for the following circuit Example 5 • Calculate the charge and voltage on each capacitor in the following circuit Example 1 • A 5 uC charge is .6 m away from a 8 uC charge. Find the potential difference at a point halfway between them. Example 2 • An electron is moved between two parallel plates with an electric field of strength 300 N/C a distance of 2 mm. – What is the potential difference between the plates? – What is the potential energy of the charge? – What is the velocity of the electron when it is moved from the negative plate to the positive plate? Example 3 • A capacitor has an area of 15 square centimeters. The plates are separated by .5 mm. What is its capacitance? • What would the capacitance be if water was plates between the plates (dielectric constant of 80)? Example 4 • Calculate the equivalent capacitance for the following circuit Example 5 • Calculate the charge and voltage on each capacitor in the following circuit