Capacitors in circuits Capacitors, capacitance. Circuits with capacitors.

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Presentation transcript:

Capacitors in circuits Capacitors, capacitance. Circuits with capacitors

A parallel plate capacitor consists of two metal plates, one carrying charge +q and the other carrying charge –q. It is common to fill the region between the plates with an electrically insulating substance called a dielectric. Quick lab: charge the capacitor with a hand generator and measure potential difference across it. Make a circuit with: capacitor, light bulb, switch and A-meter. Keep the switch open. Get the timer ready to measure the time it will take for the current to die out. Complete the circuit, measure the time and sketch a graph I(t) in the space below (use your actual numbers to mark the significant points).

THE RELATION BETWEEN CHARGE AND POTENTIAL DIFFERENCE FOR A CAPACITOR The magnitude of the charge in each place of the capacitor is directly proportional to the magnitude of the potential difference between the plates. The capacitance C is the proportionality constant. SI Unit of Capacitance: coulomb/volt = farad (F) Charge the capacitor again, use V-meter to determine the charge on either of the plates of the capacitor

THE DIELECTRIC CONSTANT If a dielectric is inserted between the plates of a capacitor, the capacitance can increase markedly. Dielectric constant

THE CAPACITANCE OF A PARALLEL PLATE CAPACITOR Three ways to increase capacitance: A 5.0 F capacitor is connected to a 6.0V battery and then to a 12.0V battery. If C = Q/V, will the capacitance increase or decrease?

Example 12 A Computer Keyboard One common kind of computer keyboard is based on the idea of capacitance. Each key is mounted on one end of a plunger, the other end being attached to a movable metal plate. The movable plate and the fixed plate form a capacitor. When the key is pressed, the capacitance increases. The change in capacitance is detected, thereby recognizing the key which has been pressed. The separation between the plates is 5.00 mm, but is reduced to mm when a key is pressed. The plate area is 9.50x10 -5 m 2 and the capacitor is filled with a material whose dielectric constant is Determine the change in capacitance detected by the computer.

ENERGY STORAGE IN A CAPACITOR Produce two other formulas, excluding: a)C b)V

Parallel capacitors

Series capacitors