UF PHY 2049 - Review and Overview (7 pages)

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Review and Overview



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Review and Overview

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Lecture Notes


Pages:
7
School:
University of Florida-Gainesville
Course:
Phy 2049 - Physics 2 with Calculus
Physics 2 with Calculus Documents
Unformatted text preview:

Review and Overview Coulomb s law and Gauss law equivalent Coulomb s law Gauss law E field F qE Force F integrate integrate differentiate differentiate Potential V U qV Energy U Applications Capacitance Ch 25 Electric circuits Ch 26 PHY2049 Chapter 25 Current I dq dt 1 Ch 25 Subjects Capacitor and units and Capacitance definitions Capacitance Capacitors Energy calculation in parallel and series stored in electric field Dielectrics insulators PHY2049 Chapter 25 2 Capacitors Capacitors Capacitors on a computer motherboard PHY2049 Chapter 25 3 Definitions and Units Capacitor Two conductors electrically isolated from each other Particularly when the pair is used as a device in an electronic circuit to store charge and for other purposes Capacitance q CV C is a constant that characterizes given pair of conductors in given configuration Can be generalize to a single conductor Read Section 25 3 For given applied V capacitor with larger C stores more q For given q smaller V appears in capacitor with larger C Units F farad 1 F 1 C V C coulomb not capacitance Note 0 8 854x10 12 C2 N m2 same value F m PHY2049 Chapter 25 4 Why do we consider only q and q forming a pair Why not q and Q Let us postpone the question for the moment PHY2049 Chapter 25 5 Capacitance calculation 1 parallel plates q SE dA EA 0 0 1 q E 0 A Gauss law Solve for E 1 qd V E ds Ed 0 A Potential difference Do not worry about sign is always high C q A 0 V d Capacitance capacitance 0 x length F F m x m PHY2049 Chapter 25 6 Capacitance calculation 2 coaxial cylinders Ignore ends approximating cylinder to be infinitely long E dA E 2 rL 0 S E q 0 1 q 2 0 rL 1 q b dr V E ds 2 0 L a r Gauss law Solve for E b lnb lna ln a Potential difference Do not worry about sign is always high Radii a and b length capacitance q L 0 C 2 0 V ln b a Depends only weakly on radii Inner conductor cannot be approximated to Capacitance be line with no thickness Then C PHY2049 Chapter 25 7


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