Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 27.4, Problem 27.6CE
CASE STUDY Capacitors for a Thompson coil
The Thompson coil experimenters (page 829) claimed they used six identical capacitors connected in parallel. In Example 27.1, we found that the equivalent capacitance is 94 μF. What is the capacitance of each capacitor?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Please write clearly
E
C
switch
The figure above shows a circuit containing an electromotive force (a battery), a capacitor with a
capacitance of Cfarads (F), and a resistor with a resistance of Rohms (). The voltage drop
across the capacitor is Q/C, where is the charge (in coulombs), so in this case Kirchhoff's Law
gives
Since the current is I =
=
dQ
dt
I
we have
RI +
R
dQ
dt
Q = E(t).
Suppose the resistance is 20 , the capacitance is 0.05F, a battery gives a constant voltage of
E(t) = 40V, and the initial charge is (0) = 0C.
Find the charge and the current at time t.
Q(t) =
I(t)
= E(t).
Q3
Consider three capacitors C1, C2, C3, and a battery. If C¡ is
connected to the battery, the charge on C is 30.8 µC. Now
Ci is disconnected, discharged, and connected in series
with C9. When the series combination of C2 and C¡ is con-
nected across the battery, the charge on C¡ is 23.1 µC. The
circuit is disconnected and the capacitors discharged.
Capacitor C3, capacitor C1, and the battery are connected
in series, resulting in a charge on C¡ of 25.2 µC. If, after
being disconnected and discharged, C1, C2, and C3 are
connected in series with one another and with the battery,
what is the charge on C1?
Chapter 27 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 27.1 - CASE STUDY How Big a Spring? Imagine the ring in...Ch. 27.2 - Consider two different capacitors, A and B. Figure...Ch. 27.2 - a. If capacitor B in Figure 27.8 has a charge of...Ch. 27.3 - Explain why electrons stop flowing when the...Ch. 27.3 - A large parallel-plate capacitor is attached to a...Ch. 27.4 - CASE STUDY Capacitors for a Thompson coil The...Ch. 27.7 - An X-ray tube at a dentists office produces X-rays...Ch. 27 - CASE STUDY Concept Exercise 27.1 (page 829), we...Ch. 27 - Prob. 2PQCh. 27 - In Franklins time, a device for storing electric...
Ch. 27 - The first Leyden jar was probably discovered by a...Ch. 27 - Prob. 5PQCh. 27 - According to UE=12C(V)2 (Eq. 27.3), a greater...Ch. 27 - In Figure P27.7, capacitor 1 (C1 = 20.0 F)...Ch. 27 - Prob. 8PQCh. 27 - A 4.50-F capacitor is connected to a battery for a...Ch. 27 - Prob. 10PQCh. 27 - Prob. 11PQCh. 27 - Prob. 12PQCh. 27 - Prob. 13PQCh. 27 - When a Leyden jar is charged by a hand generator...Ch. 27 - Prob. 15PQCh. 27 - A 6.50-F capacitor is connected to a battery. What...Ch. 27 - A pair of capacitors with capacitances CA = 3.70 F...Ch. 27 - Two 1.5-V batteries are required in a flashlight....Ch. 27 - Two capacitors have capacitances of 6.0 F and 3.0...Ch. 27 - Prob. 20PQCh. 27 - Calculate the equivalent capacitance between...Ch. 27 - Prob. 22PQCh. 27 - Given the arrangement of capacitors in Figure...Ch. 27 - An arrangement of capacitors is shown in Figure...Ch. 27 - Prob. 25PQCh. 27 - Prob. 26PQCh. 27 - Find the equivalent capacitance for the network...Ch. 27 - Prob. 28PQCh. 27 - The capacitances of three capacitors are in the...Ch. 27 - For the four capacitors in the circuit shown in...Ch. 27 - The separation between the 4.40-cm2 plates of an...Ch. 27 - A spherical capacitor is made up of two concentric...Ch. 27 - A Derive an expression for the capacitance of an...Ch. 27 - Prob. 34PQCh. 27 - Prob. 35PQCh. 27 - Prob. 36PQCh. 27 - Prob. 37PQCh. 27 - Prob. 38PQCh. 27 - Review One of the plates of a parallel-plate...Ch. 27 - Prob. 40PQCh. 27 - Prob. 41PQCh. 27 - A 56.90-pF cylindrical capacitor carries a charge...Ch. 27 - Prob. 43PQCh. 27 - Prob. 44PQCh. 27 - Prob. 45PQCh. 27 - Prob. 46PQCh. 27 - The plates of an air-filled parallel-plate...Ch. 27 - Prob. 48PQCh. 27 - Prob. 49PQCh. 27 - Prob. 50PQCh. 27 - Prob. 51PQCh. 27 - Prob. 52PQCh. 27 - Prob. 53PQCh. 27 - A parallel-plate capacitor with an air gap has...Ch. 27 - A parallel-plate capacitor with plates of area A =...Ch. 27 - Prob. 56PQCh. 27 - Prob. 57PQCh. 27 - Prob. 58PQCh. 27 - Prob. 59PQCh. 27 - Prob. 60PQCh. 27 - Find an expression for the electric field between...Ch. 27 - An air-filled parallel-plate capacitor is charged...Ch. 27 - Two Leyden jars are similar in size and shape, but...Ch. 27 - Prob. 64PQCh. 27 - Nerve cells in the human body and in other animals...Ch. 27 - Prob. 66PQCh. 27 - Prob. 67PQCh. 27 - Prob. 68PQCh. 27 - Prob. 69PQCh. 27 - Prob. 70PQCh. 27 - What is the maximum charge that can be stored on...Ch. 27 - Prob. 72PQCh. 27 - In a laboratory, you find a 9.00-V battery and a...Ch. 27 - Prob. 74PQCh. 27 - Figure P27.75 shows four capacitors with CA = 4.00...Ch. 27 - Prob. 76PQCh. 27 - Prob. 77PQCh. 27 - A parallel-plate capacitor with plates of area A...Ch. 27 - Prob. 79PQCh. 27 - Prob. 80PQCh. 27 - A 90.0-V battery is connected to a capacitor with...Ch. 27 - Consider an infinitely long network with identical...Ch. 27 - Prob. 83PQCh. 27 - What is the equivalent capacitance of the five...Ch. 27 - The circuit in Figure P27.85 shows four capacitors...Ch. 27 - Prob. 86PQCh. 27 - A Pairs of parallel wires or coaxial cables are...Ch. 27 - A parallel-plate capacitor has square plates of...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- hi please solve this physics question . #please provide detailed solutionarrow_forwardASK YOUR TEACHER PRACTICE ANOTHER The circuit in the figure below contains a 90.0 V battery and four capacitors. In the top parallel branch, there are two capacitors, one with a capacitance of C1 = 5.00 µF and another with a capacitance of 6.00 µF. In the bottom parallel branch, there are two more capacitors, one with a capacitance of 2.00 µF and another with a capacitance of C2 = 9.00 µF. A circuit consists of a 90.0 V battery and four capacitors. The wire begins at the positive terminal of the battery and splits into two parallel branches before reconnecting and then ending at the negative terminal of the battery. Each branch contains two capacitors in series. One branch contains a capacitor labeled C1 followed by a 6.00 µF capacitor. The other branch contains a 2.00 µF capacitor followed by a capacitor labeled C2. (a) What is the equivalent capacitance (in µF) of the entire circuit? µF (b) What is the charge (in µC) on each capacitor? on C1 µC on C2 µC on the 6.00 µF…arrow_forward3 Four resistors, R = 100 0, R2 = 250 N, R, = 350 0 and R, = 200 0 are connected such that the parallel combination of R, and R, is connected in series with the parallel combination of R, and R, The senes-parallel combination is then connected across a 24 V DC power supply, A Draw the schematic diagram and label the circuit elements. B. Calculate the equivalent resistance of the circuit. C. Find the total current of the circuit, the voltage across each resistor and the current through each resistor.arrow_forward
- Four resistors, R1 = 100 N, R2 = 250N, R3 = 350 N and R4 = 200 N are connected such that the parallel combination of R, and R2 is connected in series with the parallel combination of R3 and R4. The series-parallel combination is then connected across a 24 V DC power supply. A. Draw the schematic diagram and label the circuit elements. B. Calculate the equivalent resistance of the circuit. C. Find the total current of the circuit, the voltage across each resistor and the current through each resistor.arrow_forwardPart A A circuit contains a single 280-pF capacitor hooked across a battery. It is desired to store four times as much energy in a combination of two capacitors by adding a single capacitor to this one. How would you hook it up? O The capacitor must be connected in series to the original capacitor. O The capacitor must be connected in parallel to the original capacitor. Submit Request Answer Part B What would its value be? Express your answer to two significant figures and include the appropriate units. HA ? C = Value Unitsarrow_forwardNormal No Spacing I Heading Heading z 4. A 9.0 μF capacitor and a 20 μF capacitor are connected in parallel to an 11.0 V battery. a. What is the total capacitance of the circuit? b. What is the voltage, V₁, across capacitor, C₁? c. What is the voltage, V₂, across capacitor, C₂? d. How much charge, Q₁, is on capacitor, C₁? ntained in the following circuit. How much charge, Q₂, is on capacitor, C₂? Heading S R Heading 6 + 100arrow_forward
- Tina the ballarina has this RC circuit she made for school help her figure out the following a. What is the time constant for the RC circuit? b. After how long does the capacitor become 80% charged? c. How much current flows in the R3 resistor at this time? + S I R₁ R₂ C R3 www.h R₁=100 kn R₁-200 kn R₂=300kn C=5.00 μF {=9.00V THE CAPACITOR IS INNITIALY CHARGED WHEN THE SWITCH IS CLOSEDarrow_forward$4arrow_forwardHandwrittenarrow_forward
- A 15.0-Ω resistor is connected in series to a 120-V generator and two 10.0-Ω resistors that are connected in parallel to each other. a. Draw the circuit diagram. b. What is the total resistance of the load? c. What is the magnitude of the circuit current? d. What is the current in one of the 10.0-Ω resistors? e. What is the potential difference across the 15.0-Ω resistor?arrow_forwardQuestion A3 A large capacitor of 3000 µF is charged by a constant current. After 1 minute it reaches a voltage of 100 V. At that voltage, the charging circuit is disconnected. a) Calculate the charging current. b) A second identical capacitor is connected across the capacitor, using wires with 1 kN re- sistance. Sketch a graph of the voltages on the two capacitors as a function of time, with appropriate numbers and units marked on the axes.arrow_forwardQu 5 In a series circuit, a capacitor C is being charged through a resistor R using a cell of emf E as in the diagram below. E key R If the current flowing i = dq/dt and potential across the resistor ER = iR and potential across the capacitor Ec = qC a). Derive the differential equation for the circuit b) and determine the solution to the differential equation derived c) Suppose a car drives at a speed of 4e 2 m/s where t is time in secunds. How far did the car get in 2 seconds (starting at t= 0 ) ? d) And how far does it get in t =10 s?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Series & Parallel - Potential Divider Circuits - GCSE & A-level Physics; Author: Science Shorts;https://www.youtube.com/watch?v=vf8HVTVvsdw;License: Standard YouTube License, CC-BY