A parallel-plate capacitor has a plate area A and a separation d. A metal slab of thickness

Question:

A parallel-plate capacitor has a plate area A and a separation d. A metal slab of thickness t and area A is inserted between the plates.

(a) Show that the capacitance is given by C = є0A/(d - t), regardless of where the metal slab is placed.

(b) Show that this arrangement can be considered to be a capacitor of separation a in series with one of separation b, where a + b + t = d.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Fundamentals of Ethics for Scientists and Engineers

ISBN: 978-0195134889

1st Edition

Authors: Edmund G. Seebauer, Robert L. Barry

See More Books

Question Posted: Jul 22, 2011 07:57 PM

See More Questions

A parallel plate capacitor has a plate area of 0.525 m2 and a plate separation of 2.15 mm. What is its capacitance?
A parallel plate capacitor has a capacitance of 2.0 F and plate separation of 1.0 mm. (a) How much potential difference can be placed across the capacitor before dielectric breakdown of air occurs...
A parallel plate capacitor has a capacitance of 1.20 nF. There is a charge of magnitude 0.800C on each plate. (a) What is the potential difference between the plates? (b) If the plate separation is...
Calculate and compare the efficiency of the two turbines of Prob. 14123. They should be the same since we are assuming dynamic similarity. However, the larger turbine will actually be slightly more...
The financial statements of Resolute Inc. are presented here: Additional information: 1. Equipment was sold during the year for $8,500 cash. The equipment originally cost $12,000 and had a carrying...
St. Paul Lumber Company incurs a cost of $280 per hundred board feet in processing certain "rough-cut" lumber, which it sells for $320 per hundred board feet. An alternative is to produce a "finished...
Determine the maximum force $P$ and the corresponding maximum total strain energy that can be stored in the truss without causing any of the members to have permanent deformation. Each member of...
On September 30, 2016 (the end of its fiscal year), Lufkin Corporation reported accounts receivable of $331,750 and an allowance for doubtful accounts of $16,700. During fiscal 2017, the following...
College seemed so far out of my reach for some time until I decided to go back to school to pursue my career. Mental illness has played a major part in my life for quite some time and want to learn...
A zero-investment portfolio with a positive alpha could arise if: a. The expected return of the portfolio equals zero. b. The capital market line is tangent to the opportunity set. c. The Law of One...
A parallel-plate capacitor has a capacitance C0 and a plate separation d. Two dielectric slabs of constants ?1 and ?2, each of thickness d and having the same area as the plates, are inserted...
A parallel-plate capacitor is filled with two dielectrics of equal size as shown in Figure. (a) Show that this system can be considered to be two capacitors of area ??A?connected in parallel. (b)...
The following data refer to the number of logging operations working in a stretch of tropical rain forest. Excluding externalities, the private cost of a logging operation is $25,000 per week. Logs...
Watch a video detailing some type of team-building function (e.g., military boot camp, exercise classes, athletics). Attempt to identify the purpose of the team-building exercise, as well as why it...
On January 1, 2015, Harrington Company has the following defined benefit pension plan balances. The interest (settlement) rate applicable to the plan is 10%. On January 1, 2016, the company amends...
Have you ever experienced information overload? If so, what are some strategies you implement to help you with time management, filtering spam and email forwards, excessive text messages, and other...
Figure Q2.10 shows the position graph for an object moving along the horizontal axis. Data in Figure Q2.10 a. Write a realistic motion short story for an object that would have this position graph....
Have a mock face-to-face discussion with a friend, coworker, or family member about a descriptive subject of your choice. Afterward, try to replicate the same conversation via text or email. What...
Which of the following red flags is seldom associated with cash register disbursement frauds? 1. Excessive voids 2. Uncashed personal checks in the cash drawer received from employees 3. Excessive...
As you rewrite these sentences, replace the cliches and buzzwords with plain language (if you don't recognize any of these terms, you can find definitions online): a. Being a jack-of-all-trades, Dave...
Suppose that a continuous random variable X has mean, and variance . By writing and using a lower bound for the integrand in the latter integral, prove that Show that the result also holds for...
A boat moves relative to water with a velocity which is n = 2.0 times less than the river flow velocity. At what angle to the stream direction must the boat move to minimize drifting?
Two bodies were thrown simultaneously from the same point: one, straight up, and the other, at an angle of = 60 to the horizontal. The initial velocity of each body is equal to v0 =- 25 m/s....
Two particles move in a uniform gravitational field with an acceleration g. At the initial moment the particles were located at one point and moved with velocities v1 = 3.0 m/s and v2 = 4.0 m/s...
The setting of a piece of literature may be an important factor that influences the actions of the characters. Two literary works in which the setting plays an important role are The Story of an Hour...
Water is flowing in the pipe shown in the figure below, with the 8.45-cm diameter at point 1 tapering to 3.60 cm at point 2, located y = 13.0 cm below point 1. (a) point 1 m/s (b) point 2 m/s
A certain target is bombarded by electrons in an x-ray tube. The K, L, and M energy levels have energies 84.7, 14.3, and 2.97 keV, respectively. (a) What is the minimum value of the accelerating...

A parallel-plate capacitor has a plate area A and a separation d. A metal slab of thickness

Question:

Step by Step Answer:

a Recall that within a conductor E 0 So V E d t Let ...View the full answer

Fundamentals of Ethics for Scientists and Engineers

Students also viewed these Electricity and Magnetism questions