Two capacitors C, and C₂ are connected in series. a) Derive an expression for the equivalent capacitance C. b) Calculate the equivalent capacitance Ceq of two capacitors of values 2 µF and 4 μF in series. c) Write down the three capacitances C₁,C2 and Ceq in order of increasing capacitance.

Two capacitors C, and C₂ are connected in series. a) Derive an expression for the equivalent capacitance C. b) Calculate the equivalent capacitance Ceq of two capacitors of values 2 µF and 4 μF in series. c) Write down the three capacitances C₁,C2 and Ceq in order of increasing capacitance.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

You have two capacitors, one with capacitance 17.7 x 10-6 F and the other of unknown capacitance. You connect the two capacitors in series and apply a voltage of 389 V across the capacitor pair. You discover that, as a result, the unknown capacitor acquires a charge of 0.00141 C. Determine the capacitance C of the unknown capacitor. C = F
You measure the capacitance Cı of a capacitor by doing the following: First connect capacitors C1 and C2 in series to a power supply that provides a voltage V that can be varied. The capacitance of C2 is known to be 5.00 µF. Then vary the applied voltage V, and for each value of V measure the voltage V2 across C2. After plotting your data as V2 versus V, you find that the data fall close to a straight line that has slope 0.650. What is the capacitance C1? Express your answer with the appropriate units. ? C1 = Value Units %3D Submit Request Answer
Consider the circuit shown in the figure below. The four capacitors have capacitances C1=10µF, C2=11pF, C3=19pF, C4=11µF and are connected to a battery of voltage V=36Volts. When all capacitors are fully charged, determine the charge on C1. Express your answer in units of pC using zero decimal places. C2 C3 V
You have two parallel plate capacitors, C 1a = 10 nF and C 2a = 20 nF, each with the same area of 2 m^2 that is filled with a dielectric material that is 1 mm thick. a) If the capacitors are connected in series vs parallel, which provides more total capacitance? b) What is the difference in total energy if the capacitors are connected in series vs. parallel? c) What dielectric material would you use in order to make the total capacitance of the capacitors connected in series equal to if they were connected in parallel? Help...
Six uncharged capacitors with equal capacitances are combined in parallel. The combination is connected to a 6.93 V battery, which charges the capacitors. The charging process involves 0.000275 C of charge moving through the battery. Find the capacitance C of each capacitor. 7.94 x10 incorrect -6 F
give answer within sometime pls
Capacitors C1=3uF, C2=2uF, C3=6uF and C4= unknown connected in the series with a 24V battery. If the equivalent capacitance is 12uF, compute the following: a.capacitance of C4 b. Voltage across each capacitor c. The total charge
What is the net voltage V across a charged capacitor (of charge Q and capacitance C)? Zero Equal to the voltage supplied by the (charge) source. Q/C O (Qd)/(0*A) O
The capacitances of the four capacitors shown in the figure are given in terms of a certain quantity C. If C = 42 μF, what is the equivalent capacitance (a) between points A and B and (b) between points A and D? C A|| B 2C 4C I ID 6C
Two Capacitors C1 and C2 have both area A = 0.01 m^2 and seperation d = 0.02 mm. Capacitor C1 is filled with a dielectric (dielectric constant k = 3.4). Find the equivalent capacitance if the two capacitors are in series.
CapacitorsC1=3µF, C2=2µF, C3=6µF, and C4 = unknown is connected in series with a 24 V If the equivalent capacitance is 0.5µF, compute for the following:a.)Capacitance of C4; b.)voltage across each capacitor; and c.)the total charge.
Two capacitors X and Y with capacitance C and 2C respectively are connected in series with a battery. Which of the following statement is TRUE of the two capacitors? A) The equivalent capacitance is 3C B) The charge of the capacitor Y is twice the charge of the capacitor X C) The energy stored in capacitor Y is twice the energy stored in capacitor X D) The potential difference across the capacitor X is twice the potential difference of the capacitor Y