For n capacitors phy2049 chapter 25 12 capacitors in

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Unformatted text preview: apacitors in Parallel V1 = V2 = V3 (same potential top and bottom) Total charge: Qtot = Q1 + Q2 + Q3 CeqV = C1V + C2V + C3V Ceq = C1 + C2 + C3 Basic law for combining capacitors in parallel Works for N capacitors PHY2049: Chapter 25 12 Capacitors in Series q1 = q2 = q3 (same current charges all capacitors) Total potential: V = V1 + V2 + V3 q/Ceq = q/C1 + q/C2 + q/C3 1 1 1 1 = + + Ceq C1 C2 C3 Basic law for combining capacitors in series Works for N capacitors PHY2049: Chapter 25 13 ConcepTest Two identical parallel plate capacitors are shown in an end-view in Figure A. Each has a capacitance of C. If the two are joined together at the edges as in Figure B, forming a single capacitor, what is the final capacitance? (a) C/2 (b) C (c) 2C Area is doubled (d) 0 (e) Need more information A PHY2049: Chapter 25 B 14 ConcepTest Each capacitor is the same in the three configurations. Which configuration has the lowest equivalent capacitance? (1) (2) (3) (4) A C/2 (series) B C They all have identical capacitance C C C C C A B PHY2049: Chapter 25 C 15 Energy in a Capacitor Capacitors have energy associated with them Grab a charged capacitor with two hands and find out! Calculate energy Continually move charge from – to + surface dU = V dQ Q Q2 1 2 V=Q/C U = Q / C dQ = = CV ∫0 ( ) 2C 2 Q2 1 U= = 2...
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