Given the capacitor circuit below: + 12 V C₁ = 16 μF HH C₂ = 40 μF C3= 60 μF 1. What is the equivalent capacitance of the circuit? 2. How much charge is stored on C₁? 3. What is the voltage drop across C3?

Given the capacitor circuit below: + 12 V C₁ = 16 μF HH C₂ = 40 μF C3= 60 μF 1. What is the equivalent capacitance of the circuit? 2. How much charge is stored on C₁? 3. What is the voltage drop across C3?

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 67AP: A circuit contains a D cell battery, a switch, a 20- resistor, and four 20-mF capacitors connected...

See similar textbooks

Related questions

Q: A force F applied to an object of mass m₁ produces an acceleration of 3.60 m/s?. The same force…

A: Given Mass ,m1 Acceleration of mass m1 is, a1 =3.60 m/s2Mass, m2 Same force applied to both masses…

Q: Drag words or phrases from each group into the blanks to create a true statement. Match the words in…

A: Constant force experienced by an object.The acceleration is Find:Acceleration when force is doubled…

Q: A block of mass m starts from rest at a height hand slides down a frictionless plane inclined at…

Q: 1. Particle 1, of mass m, moving with velocity , makes a head-on mass m/2, which is initially moving…

Q: A small piece of Styrofoam packing material is dropped from a height of 2.10 m above the ground.…

Q: Two blocks having mass m₁ = 2.5 kg and m2 = 6 kg are connected by a light rope and slide on a…

Q: A long solenoid has a length of 0.69 m and contains 1500 turns of wire. There is a current of 2.0 A…

A: Given data :-length L = 0.69 mnumber of turns N = 1500current I = 2.0 A

Q: Which of the following statements is true? 8 N mm-² Stress (N mmn-²) Material A Material B

A: Materials A and B have the same Young's modulus of elasticity -: Incorrect…

Q: At what frequency will a 3.40-μF capacitor have a reactance of 6.50 kn ? Express your answer with…

Q: A small object with mass of 0.5kg is attached to the lower end of a long string and moves in a…

Q: Two circular coils are concentric and lie in the same plane. The inner coil contains 120 turns of…

Q: Find the derivative of f(x) = (1 + 6x²)(x - x²) in two ways. Use the Product Rule. f'(x) = Perform…

Q: I'm struggling with this practice problem. It's saying b,d,and e are wrong.

A: Mass of the first ball Initial speed of the first ball Initial speed of the second ball m/sMass of…

Q: m₁ 30° Acceleration: Tension: N 60⁰ Two blocks of masses m1 = 4 kg and m2 = 4 kg are on either side…

Q: The distance from the front to the back of your eye is approximately 1.90 cm. If you can see a…

A: Object distance is Image distance is Find:Focal length of human eye.

Q: A block slides down a frictionless plane having an inclination of 0 = 18.6°. The block starts from…

A: a)Free body diagram:

Q: The earth has a radius of 6.38 x 106 m and turns on its axis once every 23.9 h. (a) What is the…

A: This problem can be solved using tangential speed formula.

Q: R switch In the circuit shown in the figure above a battery supplies a constant voltage of E=30V,…

Q: A particle of charge q =3.5nC and mass m = 14µg has an initial velocity of v0 =41 directly toward an…

A: Let, at distance r from wire the particle will stop momentary.

Q: A beam of light is traveling in air and strikes a material. The angles of incidence and refraction…

A: Angle of incidence Angle of refraction

Q: Refer to the diagram below. V = 66.3 V; R1 = 140 Ohms; R2 = 153 Ohms; R3 = 117 Ohms; R4 = 94 Ohms;…

Q: Consider the system shown in the figure (Figure 1). The rope and pulley have negligible mass, and…

Q: Six artificial satellites complete one circular orbit around a space station in the same amount of…

A: This problem can be solved using centripetal force formula.

Q: In an experiment using Young's slits, the distance between the center of the interference pattern…

A: Distance b/w the centre of interference and 10th bright fringe(y)=3.44 cm=3.44*10-2 mand…

Q: Four charges (two +q and two −q) are kept fixed at the four vertices of a square of side a. At the…

A: Charge of two vertices is +q and charge of another two vertices is -q.Length of each side of the…

Q: The frequency and wavelength of EM waves can vary over a wide range of values. Scientists refer to…

A: This problem can be solved using the basic property of electromagnetic waves and their range of…

Q: which wave has the highest frequency, which wave has the greatest speed, which wave has the greatest…

A: Standard equation of a wave is given by

Q: Given a 3.00 μF capacitor, a 6.00 μF capacitor, and a 2.00 V battery, find the charge on each…

A: Capacitors as and Voltage is Note:Find:(a) Charge on each capacitor for series combination of…

Q: ]Refer to the diagram below. V = 91.7 V; R1 = 115 Ohms; R2 = 136 Ohms; R3 = 192 Ohms; R4 = 120 Ohms;…

Q: Two objects (m1=5.00kg and m2=3.00kg) are connected by a light string passing over a light,…

A: m1 = 5.00 kg m2= 3.00 kg h = 4.00 m

Q: An object of mass m₁ = 3.70 kg placed on a frictionless, horizontal table is connected to a string…

Q: A railroad car with a mass of 12,000 kg collides and couples with a second car of mass 18,000 kg…

A: Mass of vehicle 1 is Mass of vehicle 2 is Initially the vehicle 2 is at rest, that is, Initial…

Q: Three identical very dense masses of 7100 kg each are placed on the x axis. One mass is at x1 = -110…

A: Given the masses of each identical objects = m = 7100 kgOne mass is at x1 = -110 cm,one is at the…

Q: The switch in the circuit shown in (Figure 1) has been closed for a long time, and the current…

A: So we have given a circuit in which there are two resistances, a voltage or battery and a…

Q: m₂ g and m2 = 4.6 kg are connected by a string as shown

A: Mass, The angle of inclination, To find,a) The coefficient of…

Q: 8. A pair of power transmission lines each have 2.50-2 resistance and carry 650 Amp. If the primary…

Q: The magnetic flux through a coil of wire containing two loops changes from -32 Wb to +61 Wb in 0.45…

A: Number of loops is Initial magnetic flux is Final magnetic flux is Time is Find:emf induced in the…

Q: The rectangular loop in the drawing consists of 75 turns and carries a current of 1 = 6.4 A. A 2.2…

Q: Monochromatic light traveling through medium 1 refracts when it enters medium 2. The incident angle…

A: The incidence angle is: The refracted angle is:

Q: 2. Three steel bolts are to be used to attach the steel plate shown to a wooden beam. Knowing that…

A: Load, Ultimate Shearing Stress, Factor of Safety, F.S = 3.25

Q: Analyze the velocity vs. time graph below. Which acceleration vs. time graph cor- responds to the…

Q: A point charge q1 = 4.05 nC is placed at the origin, and a second point charge q2 = -2.90 nC is…

A: The potential energy due to charge system is given by where

Q: Problem Six. The diagram shows the cross-section of a co-axial cable. The inner wire has a current I…

Q: 4. A circular coil of radius 4.50 cm contains 140 loops and its plane is positioned perpendicular to…

Q: While you are accelerating at a constant rate from rest to 28 m/s in 5.1 s, what angle 8 does the…

Q: A motorcycle, which has an initial linear speed of 8.9 m/s, decelerates to a speed of 1.3 m/s in 5.4…

A: Here Initial linear speed = u = 8.9 m/sfinal linear speed = v = 1.3 m/stime interval for this change…

Q: A 2200 kg car traveling at 21 m/s slams on the brakes and skids to a halt. What is the increase in…

A: Given the mass of car = m = 2200 kgthe initial speed of car = u = 21 m/sthe final speed of car = v…

Q: Problem: A 2.0 kg trolley moving east at 3.0 m/s collides head-on 1.0 kg trolley moving west at 2.0…

A: GivenMass of object 1 is Initial velocity of object 1 is towards east direction.Mass of object 2 is…

Q: 22.8-m deep pool is iflled with oil of density 895 kg/m^3. What is the gauge pressure at the bottom…

A: Density of oil p = 895kg/m3Depth of pool = 22.8meter.

Q: 2. Question 2: Draw and label a positive and negative charge to make a dipole configuration. Draw…

Concept explainers

Combination of Capacitors

The connection of capacitors can be established in a circuit in two ways.

Question

Given the capacitor circuit below:
+
12 V
C₁ = 16 μF
HH
C₂ = 40 μF
C3= 60 μF
1. What is the equivalent capacitance of the circuit?
2. How much charge is stored on C₁?
3. What is the voltage drop across C3?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given variables

VIEW

Step 2: 1. Calculating equivalent capacitance

VIEW

Step 3: 2. Calculating charge stored on C1

VIEW

Step 4: 3. Calculating voltage drop across C3

VIEW

Solution

VIEW

Step by step

Solved in 5 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

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

The circuit in Figure P21.59 has been connected for a long time. (a) What is the potential difference across the capacitor? (b) If the battery is disconnected from the circuit, over what time interval does the capacitor discharge to one-tenth its initial voltage?
Consider the circuit below. The capacitor has a capacitance of 10 mF. The switch is closed and after a long time the capacitor is fully charged, (a) What is the current through each resistor a long time after the switch is closed? (b) What is the voltage across each resistor a long rime after the switch is closed? (c) What is the voltage across the capacitor a long time after the switch is closed? (d) What is the charge on the capacitor a long time after the switch is closed? (e) The switch is then opened. The capacitor discharges through the resistors. How long from the time before the current drops to one fifth of the initial value?
A circuit contains a D cell battery, a switch, a 20- resistor, and four 20-mF capacitors connected in series, (a) What is the equivalent capacitance of the circuit? (b) What is the fiC time constant? (c) How long before the current decreases to 50% of the initial value once the switch is closed?
Two capacitors, C1 = 25.0 F and C2 = 5.00 F, are connected in parallel and charged with a 100-V power supply. (a) Draw a circuit diagram and (b) calculate the total energy stored in the two capacitors. (c) What If? What potential difference would be required across the same two capacitors connected in series for the combination to store the same amount of energy as in part (b)? (d) Draw a circuit diagram of the circuit described in part (c).
A circuit contains a D-cell battery, a switch, a 20- resistor, and three 20-mF capacitors. The capacitors are connected in parallel, and the parallel connection of capacitors are connected in series with the switch, the resistor and the battery, (a) What is die equivalent capacitance of the circuit? (b) What is the KC time constant? (c) How long before the current decreases to 50% of the initial value once the switch is closed?
A charge Q is placed on a capacitor of capacitance C. The capacitor is connected into the circuit shown in Figure P26.37, with an open switch, a resistor, and an initially uncharged capacitor of capacitance 3C. The switch is then closed, and the circuit comes to equilibrium. In terms of Q and C, find (a) the final potential difference between the plates of each capacitor, (b) the charge on each capacitor, and (c) the final energy stored in each capacitor. (d) Find the internal energy appearing in the resistor. Figure P26.37
(a) What is the potential difference going from point a to point b in Figure 21.47? (b) What is the potential difference going from c to b? (c) From e to g? (d) From e to d?
(a) What is the terminal voltage of a large 1.54-V carbon-zinc dry cell used in a physics lab to supply 2.00 A to a circuit if the cell’s internal resistance is 0.100 ? (b) How much electrical power does the cell produce? (c) What power goes to its load?
The circuit shown in Figure P28.78 is set up in the laboratory to measure an unknown capacitance C in series with a resistance R = 10.0 M powered by a battery whose emf is 6.19 V. The data given in the table are the measured voltages across the capacitor as a function of lime, where t = 0 represents the instant at which the switch is thrown to position b. (a) Construct a graph of In (/v) versus I and perform a linear least-squares fit to the data, (b) From the slope of your graph, obtain a value for the time constant of the circuit and a value for the capacitance. v(V) t(s) In (/v) 6.19 0 5.56 4.87 4.93 11.1 4.34 19.4 3.72 30.8 3.09 46.6 2.47 67.3 1.83 102.2
Consider the circuit shown in Figure P26.24, where C1, = 6.00 F, C2 = 3.00 F. and V = 20.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing Calculate (a) the initial charge acquired by C, and (b) the final charge on each capacitor.
2. Consider the circuit below. The values of the resistors and battery are: R₁ =5Q, R₂ =3Q, R₂ = 1 Q, R = 4, V₁ = 14 V R1 tr V R2 W R4 R3 a. What is I, through R.? b. What is the voltage across R.? c. Now imagine all the resistors have been replaced with capacitors. The values of capacitances are C₁ = 7 mF, C₂= 2 mF, C, = 1 mF, and C₂ = 5 mF. What is the equivalent capacitance of all capacitors in the circuit? d. How much charge is stored on C₁?
diagram. 1. Determine the values of the following variables in Circuit A. 100 pF a. V1 b. V2 C. V3 d. Q1 e. Q2 f. Q3 g. Total Capacitance, CT h. Total Charge, QT Vs C2 12 V 200 uF 5 uF Circuit A 2. Determine the charge in each capacitor and the voltage across each capacitor in Circuit B. C1 1pF Given: C4 C5 V3 = 5V sia ect Circuit B 3.