Name: Grade & Section: Score: School: Teacher: Subject: General Physics 2 LAS Writer: JAN JEFFREY R. CAMINA Content Editor: RETCHIE JOY B. PISANA EMMA T. SURRITA Learning Topic: Capacitors in Series and Parallel Combination; Quarter 3-Week 3 LAS 3 Learning Targets: 1. Calculate the equivalent capacitance of a network of capacitors connected in series/parallel; 2. Determine the total charge, the charge on, and the potential difference across each capacitor in a network. Reference(s): Young, H. and Freedman, R., 2012. University Physics with Modern Physics. 13th ed. 1301 Sansome Street, San Francisco, CA, 94111: Pearson Education, Inc., publishing. pp 793-799. Capacitors in Series and Parallel Combination Capacitors in Series Combination Capacitance (C): As for any capacitor, the capacitance (C) of the combination is related to both charge (Q) and voltage (V). c = 2 /V When this series combination is connected to a battery with voltage (V), each of the capacitors acquires an identical charge Q. To explain, first note that the charge on the plate connected to the positive terminal of the battery is +Q and the charge on the plate connected to the negative terminal is -Q. Charges are then induced on the other plates so that the sum of the charges on all plates, and the sum of charges on any pair of capacitor plates, is zero. However, the potential drop V, = Q/C, on one capacitor may be different from the potential drop V2 = Q/C2 on another capacitor, because, generally, the capacitors may have different capacitances. The series combination of two or three capacitors resembles a single capacitor with a smaller capacitance. Generally, any number of capacitors connected in series is equivalent to one capacitor whose capacitance (called the equivalent capacitance) is smaller than the smallest of the capacitances in the series combination. -7 QT QT = Q1 = Q2 = Q3 Electric Potential Energy (U): VT = V, + V2 + V3 U=* cvz =Qv =(3 CT = 1 Capacitors in Parallel Combination A parallel combination of three capacitors, with one plate of each capacitor connected to one side of the circuit and the other plate connected to the other side. Since the capacitors are connected in parallel, they all have the same voltage (V) across their plates. However, each capacitor in the parallel network may store a different charge due to that each may have different values of capacitance. QT = Q1 + Q2 + Q3 Electric Potential Energy (U): VT = V1 = V2 = V3 U = = CV2 = QV = (25 CT = C 1 + C2 + C3 Solving Series-Parallel Combination of Capacitors Find CT, VT & UT, when C1 = 1F, C2 = 2F, C3 = 3F & QT = 4C. Series CT = - - =5/6 F CI + C23 IF + 5F VT= /C = 46/s = 24/s V or 4.8 V Parallel C23 = C2 + C3= 2F + 3F = 5F UT = =QV = (4C)(4.8V) = 9.6J Activity: Find CT, V1, V2, V3 & UT, when C1 = 1F, C2 = 2F, C3 = 3F & QT = 4C. Write your answers on a separate piece of paper. (1 point each) QT #1