Derive the capacitance formula for the coaxial capacitor starting with Laplace’s equation. The voltage at the inner conductor is Vo and the outer conductor is 0 V. The formula obtained will match equation 6.28 in the book.

Derive the capacitance formula for the coaxial capacitor starting with Laplace’s equation. The voltage at the inner conductor is Vo and the outer conductor is 0 V. The formula obtained will match equation 6.28 in the book.

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter19: Capacitors

Section: Chapter Questions

Problem 3RQ: A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted...

See similar textbooks

Related questions

Q: Determine the voltage gain magnitude when vin-2sin(362t) v. Transistor parameters: B=99,…

Q: Suppose we have an illustration: Allen-Bradley SLC 500 PLC connected to two process switches as…

A: According to the question, for the given PLC connections as shown belowWe need to determine the bit…

Q: (100 V DC shunt motor has a starting current value for the armature circuit as last 50 A while the…

Q: Three long parallel wires carry currents of magnitude I, I, and 21. One wire carries current into…

A: At point P, the magnetic fields generated by the three wires can be determined using the right-hand…

Q: Create the truth table for the following function. From the truth table you obtained. Using the…

A: Given Data:An POS expression of,To Find:Truth table and The corresponding POS expression by K-Map

Q: "Violation of any provision of this Code shall constitute unethical, unprofessional and dishonorable…

A: The quoted statement highlights the consequences of violating any provision of the Code in the field…

Q: Clk. J K Q

A: Diagram has drawn in the solution section

Q: Draw the Bode frequency response curves of the given system.

A: In this questionWe need to determine the bode plot of the given system. We are solving this problem…

Q: 15. Construct the Bode plots for a unity feedback system whose open loop transfer function is given…

A: The OLTF,

Q: Instructor Problem 2: Given the continuous time unit step function u(t), provide sketches for each…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Alttaki kendinden beyaslamali devre drain akomi 1,8 mA olacak şekilde tasarlanmalidir (The…

Q: Explain why the envelop detector cannot demodulate the over-modulated signal . Discuss how to…

A: The envelope detector is a simple demodulation technique used to extract the envelope of an…

Q: What is the importance of Code of ethics of Electrical Engineer in students?

A: The Code of Ethics for Electrical Engineers plays a crucial role in shaping the behavior and…

Q: If (t) = 200 cos 50t V and i(t) = -39 sin (50t-30%) A, calculate the instantaneous power and the…

Q: 3. Consider a continuous-time signal with the following continuous-time Fourier transform. -400 -300…

A: According to the question, for the given Fourier transform of a continuous signal as shown belowWe…

Q: Problem 7. Consider the following DT system. z-1 H(z) z +0.8 (a) Compute the values of H(z) at zw…

Q: Consider a 3-phase synchronous generator driven by a diesel motor, which is utilized for power…

A: Given data:Synchronous generatorRated Terminal Voltage (L-L) .Power Rating .Synchronous speed…

Q: Vs (+ O-4 A 4Ω ww O -4.5 A O-3.5 A O -5 A 692 www 2% 4 V + % If v, -5 V, i shown in the circuit is…

A: In this questionWe need to choose the correct option. What is current i in the circuit. We are…

Q: Consider the feedback system. It is known that G(s) has one unstable zero and one unstable pole. On…

A: In the given questions we need to check the no. Of unstable poles and zeros.

Q: 5. Design a Transformer Fed HWR that provides an output effective voltage of 55V. Use an ideal diode…

A: A Half wave Rectifier,Output Effective voltage ,Transformer primary voltage ,Here we need to design…

Q: The 3-phase half-wave diode rectifier feeds a load consisting of a 50-ohm resistor. The sinusoidal…

Q: A mass-spring-damper system is shown below and its transfer function is given. Find the spring…

A: The mechanical system is given in question here

Q: Can you distinguish between startup of machinery/equipment and working on or near electrical…

A: Aim: To distinguish between the LOTO process during the startup of machinery and while working on or…

Q: Question 3. Consider the below truth table and answer the following questions. A F 0 0 1 0 0 0 1 1 1…

A: Note: Since manual (4, pin planner) is not provided in the question. Hence, we will solve only first…

Q: Question) Calculate Vo output, while X-16 and Y=24.

A: For the given circuit the value of the unknown voltage Vo needs to be calculated and the value is…

Q: Ques 4. An electric circuit consists of four resistors, R1 = 12 Ohm, R2 = 12 Ohm, R3 = 3 Ohm and R4…

A: It is given that:

Q: 2. For the following op amp circuit,Vs = 10230° V. Find the average power absorbed by the 20k…

A: In this questionWe need to determine power in the 20k ohm resistance. We knowPower in the resistance…

Q: Write the logic expression of output Q in the logic connection below. (10)

A: The given logic diagram is shown below.Here we have determine the logic expression for output Q.

Q: How do I solve for the settling time, and %OS by hand for a higher degree function with variables on…

A: given transfer function is to find the settling time and %…

Q: In this group of switches, no movement of the switch occurs when the switch goes from off- to-on and…

A: Toggle switches are one type of electrical switches and mostly used to control the flow of the…

Q: Design an electromagnet that can lift a mass of iron weighing 50 kg with a current of 10 A. Assume…

A: To design an electromagnet capable of lifting a 50 kg iron weight with a current of 10A, we can…

Q: 2- Analyze given sequential circuits and write truth table, draw state diagram. CLK KO K O A B

A: JK Flip-Flop:A JK flip-flop is another type of flip-flop that can store and manipulate binary data.…

Q: 1. If 48 eV of energy is required to move a charge through a potential difference of 3.2 V,…

A: Given dataThe energy required to move the charge is .The potential difference is . .To find outWe…

Q: Using the Laplace transform find the solution for the following equation ə y(t)=3-2t Ət with initial…

A: It is given that:

Q: Find the [a] average power absorbed by the 0.6-kV resistor of Figure in mW. 0.6 ΚΩ 1.8 ΚΩ 4 √5 cos…

Q: Investigate what type of filter is the following circuit Determine the implementation of the…

A: Find :- What type of filter ? The implementation of the filter ?

Q: Q.) A diode with a forward bias of 0.8 V is carrying 2.6 mA of current at room temperature. If n = 1…

A: It is given that:

Q: Question No. 2: Part (a): Apply and analyze Routh-Hurwitz stability on the transfer function in eq.…

A: Since you have posted multiple question, we will provide solution to first question only as per…

Q: Each end of a long transmission line is perfectly matched but from time domain spectrometer display…

A: According to the question, for the perfectly matched transmission line time domain spectrometer…

Q: Problem 3. Consider a DT transfer function. H(z) = · (a) What are the poles? z² + 2z + 1 (z+0.7)³(z…

A: The transfer function in the context of discrete-time (DT) systems represents the relationship…

Q: Plot the transfer function below: Vout(s) 25000000 = Vin (s) s² +3750s + 25000000

A: To plot the transfer function, we need to determine the behavior of the system as the frequency…

Q: 00 OV mA 3.58 W OV 0 mA OW ww R₁ ΟΩ 18.21 V O MA 0.55 W R₂ R₂ 00 OV O MA 0.3 W SUB

Q: 2.In the balanced three-phase Y- A system, find the line current and the average power delivered to…

A: Step-1->

Q: You are given a 12-bit signed unsigned A/D with reference voltages tied to 3.3V and GND. If 2.75V is…

A: You are given a 12-bit signed unsigned A/D with reference voltages tied to 3.3V and GND. The input…

Q: An Electrical Engineer should not compete with another engineer on the basis of compensation for…

A: Competing engineers should not engage in underbidding for compensation after the results of a public…

Q: Consider the circuit shown in figure, where Ve=710 mV, B = 100, and VA = ∞o. Assume that the emitter…

A: given circuit is circuit parameters are given that collector…

Q: Use convolution to find the system's output y(t) for -1st≤ 2 with x(t) = 5[u(t-1)-u(t-3)] and h(t)…

A: Given:Input to the system having impulse response h(t) as, To find:Using convolution find the…

Q: Eighty 16 AWG copper conductors with type THWN-2 insulation are to be run in a conduit. The conduit…

A: Given data:The number of conductors=8.An adjustment factor of 70 % is required for the conductor.AWG…

Q: A closed system consisting of 10 lb of air undergoes a polytropic process from p₁ = 80 lbf/in². v₁…

Q: Determine the magnitude of the rms input current Is in the network of Figure in A. wwwm 0.1 0.3 Vs(+…

Question

Derive the capacitance formula for the coaxial capacitor starting with Laplace’s equation. The voltage at the inner conductor is V_o and the outer conductor is 0 V. The formula obtained will match equation 6.28 in the book.

Thus the capacitance of a coaxial cylinder is given by
C
=
01
Q
V
2πεL
b
In
(6.28)

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data:-

VIEW

Step 2: Calculation of electric field:-

VIEW

Step 3: Formula for capacitance:-

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 4 steps with 3 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, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A spherical capacitor is formed by the two concentric sphericalconducting shells, separated by a vacuum, and with radii a and brespectively, where b > a. What will be the resulting capacitance in thelimit where b >>a?
A spherical capacitor having a radius of 5cm and 5.5cm for positive and negative conductor respectively. If the charges on each conductor are 9nC, what is the capacitance value of this capacitor?
How many turns must be wound to obtain an air-core toroid with an average radius of 10 mm and a cross-sectional area of 10 mm2 and a coil with an inductance of 0.4 mH?Is a substitute solenoid possible for the same inductance value ? Please explain.
A spherical capacitor having a radius of 5cm and 5.5cm for positive and negative conductor respectively. If the charges on each conductor are 950nC, what is the voltage across the capacitor? Please show solutions!
Derive the capacitance for a parallel CIRCULAR plate capacitor d distance apart.
calculate the capacitance for a spherical capacitor composed of an internal conductor of radius ra and an external conductor of radius rb and containing a dielectric of permittivity E
Determine the value of the capacitance, in picofarads, of a parallel-plate capacitor using a dielectric of relative permittivity 4.07 with dielectric thickness 33 mm and plate area 46 cm2. Use 8.854 × 10-12 F/m for the permittivity of free space.
A parallel plate capacitor consists of two metal sheets of copper foil, each of area 1 m, separated by a 10.0 mm thick sheet of plastic having a relative permittivity of 2.25. What is the capacitance? (b) Calculate the capacitance per meter of length of air filled coaxial line with an inner conductor of 4 mm diameter and an outer conductor of inside diameter of 6 mm.
A parallel-plate capacitor using a dielectric material having an Pr of 2.2 has a plate spacing of 2 mm (0.08 in.). If another material having a dielectric constant of 3.7 is used and the capacitance is to be unchanged, what must the new spacing be between the plates?
a = 10CM, b = 12 CM, h = 1CM, and N turns = 700, and free space permeability , then the self-inductance of half toroid equals to
Use the Gauss’s law to find the capacitance of the cylindrical capacitor with thevolume between the cylinders filled with a dielectric with dielectric constant K.
How much charge can be placed on a capacitor of plate area 10 cm^2 with air between the plates before it reaches atmospheric breakdown where E = 3 × 10^6 V/m?