18.2 Physics 6B Capacitors

18.2 Physics 6B Capacitors - Physics 6B Capacitors Prepared...

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Unformatted text preview: Physics 6B Capacitors Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Basic Formulas for capacitors: Definition of capacitance: The standard unit for C is the Farad. Formula relating voltage across plates to the electric field strength for a parallel-plate capacitor: Energy stored in a capacitor: V Q C = Voltage Source + _ + + + + + + + + + + + + _ _ _ _ _ _ _ _ _ _ _ _ _ d E Diagram of a parallel-plate capacitor d E V = C Q QV CV U 2 2 1 2 1 2 2 1 elec = = = Capacitors in Parallel: Voltage across C 1 and C 2 must be equal. Charge on each may be different. C 1 C 2 2 1 eq C C C + = Capacitors in Series: Voltage across C 1 and C 2 may be different. Charge on each must be equal. C 1 C 2 2 1 2 1 eq 2 1 eq C C C C C C 1 C 1 C 1 + = + = Shortcut works for any pair of capacitors in series. Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Example: A uniform electric field is established by connecting the plates of a parallel-plate capacitor to a 12- volt battery. (a) If the plates are separated by 0.75cm, what is the magnitude of the electric field in the capacitor? (b) A charge of +6.24 x 10-6 C moves from the positive plate to the negative plate. Find the change in electric potential energy for this charge. 12 V + _ + + + + + + + + + + + + _ _ _ _ _ _ _ _ _ _ _ _ _ 0.75 cm + Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Example: A uniform electric field is established by connecting the plates of a parallel-plate capacitor to a 12- volt battery. (a) If the plates are separated by 0.75cm, what is the magnitude of the electric field in the capacitor? (b) A charge of +6.24 x 10-6 C moves from the positive plate to the negative plate. Find the change in electric potential energy for this charge. 12 V + _ + + + + + + + + + + + + _ _ _ _ _ _ _ _ _ _ _ _ _ 0.75 cm + For a parallel-plate capacitor we have a very simple formula relating the voltage to the electric field inside. V = Ed Prepared by Vince Zaccone For Campus Learning Assistance Services at UCSB Example: A uniform electric field is established by connecting the plates of a parallel-plate capacitor to a 12- volt battery. (a) If the plates are separated by 0.75cm, what is the magnitude of the electric field in the capacitor? (b) A charge of +6.24 x 10capacitor?...
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18.2 Physics 6B Capacitors - Physics 6B Capacitors Prepared...

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