-Q +Q -Q 15 +Q d' 1) A parallel plate capacitor (shown above on the left)...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
-Q +Q -Q 15 +Q d' 1) A parallel plate capacitor (shown above on the left) consists of two square plates, each with side length L, separated by a distance d (d < < L). Each plate holds a magnitude of charge Q. Derive expressions for the following in terms of L, d, Q, and physical constants, as appropriate. a. The electric potential difference between the plates. Ans: V = d L 0 b. The capacitance of this capacitor. Ans: C = - c. The electric potential energy stored in the capacitor. Ans: U = ; Qd 2OL The capacitor plates are isolated, so the charge on each plate is held constant. A metal slab (NOT a dielectric) with thickness d/3 is inserted between the plates of the capacitor as shown above on the right. The slab is inserted without touching either plate. The metal slab is at the center of the capacitor and has the same area as the capacitor plates. Derive expressions for the following in terms of L, d, Q, and physical constants. d. The new capacitance of this capacitor. Ans: C 360L2 2d e. The electric potential energy stored in this capacitor. Ans: U = 360L2 The metal slab is removed, allowing the capacitor to return to its original conditions. Now, the plates are connected to a battery, so the potential difference between the plates is held constant (the same potential difference as part (a). The same metal slab is reintroduced into the capacitor at the exact same position in parts (d)-(e). Derive expressions for the following in terms of L, d, Q, and physical constants. f. The new capacitance of this capacitor. Ans: C = 3QL2 2d g. The electric potential energy stored in this capacitor. Ans: U = 30d 460L2 h. The new total charge on the positive plate of the capacitor. Ans: Qnew = 3Q/2 -Q +Q -Q 15 +Q d' 1) A parallel plate capacitor (shown above on the left) consists of two square plates, each with side length L, separated by a distance d (d < < L). Each plate holds a magnitude of charge Q. Derive expressions for the following in terms of L, d, Q, and physical constants, as appropriate. a. The electric potential difference between the plates. Ans: V = d L 0 b. The capacitance of this capacitor. Ans: C = - c. The electric potential energy stored in the capacitor. Ans: U = ; Qd 2OL The capacitor plates are isolated, so the charge on each plate is held constant. A metal slab (NOT a dielectric) with thickness d/3 is inserted between the plates of the capacitor as shown above on the right. The slab is inserted without touching either plate. The metal slab is at the center of the capacitor and has the same area as the capacitor plates. Derive expressions for the following in terms of L, d, Q, and physical constants. d. The new capacitance of this capacitor. Ans: C 360L2 2d e. The electric potential energy stored in this capacitor. Ans: U = 360L2 The metal slab is removed, allowing the capacitor to return to its original conditions. Now, the plates are connected to a battery, so the potential difference between the plates is held constant (the same potential difference as part (a). The same metal slab is reintroduced into the capacitor at the exact same position in parts (d)-(e). Derive expressions for the following in terms of L, d, Q, and physical constants. f. The new capacitance of this capacitor. Ans: C = 3QL2 2d g. The electric potential energy stored in this capacitor. Ans: U = 30d 460L2 h. The new total charge on the positive plate of the capacitor. Ans: Qnew = 3Q/2
Expert Answer:
Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
Students also viewed these physics questions
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
Using the trial balance prepared for Binbutti Engineering in Part 4 of Problem 2-9A, prepare an income statement and statement of changes in equity for the three months ended July 31, 2014, and a...
-
When designing patterns for casting, patternmakers use special rulers that automatically incorporate solid shrinkage allowances into their designs. Therefore, a 12-in. patternmaker's ruler is longer...
-
Choose a t-test for each situation: one-sample t-test, two-sample t-test, paired t-test, and no t-test. a. A random sample of car dealerships is obtained. Then a student walks onto each dealers lot...
-
Acne Medication and Gastrointestinal Injury Since 1999, Kamie Kendall had experienced ongoing abdominal pain, and she was eventually diagnosed with ulcerative colitis and irritable bowel syndrome...
-
After the success of the company's first two months, Adria Lopez continues to operate Success Systems. (Transactions for the first two months are described in the serial problem of Chapter 2.) The...
-
You have just been named Director of Data Administration of General Hardware Co. General Hardware maintains a large, central IS organization with several operational relational databases at its...
-
make learning more interactive and fun for students, a math teacher decides to teach a concept to students by using Lego blocks. There are 2 rows of legos, rowA ( of length n ) and rows ( of length m...
-
Consider a Logging company named Cardon Valley. List the stakeholders of a typical logging company in Ontario. Describe the nature of the stake each stakeholder has in the company. (Economic, legal,...
-
Quinly and her husband, customers at Greenway Supermarkets, purchased several pounds of fi let mignon and checked out their purchases at the newly installed self-scanners. The price listed on the...
-
Ryder, a police offi cer in Philadelphia, was alone in his patrol car when he received a radio call of a man with a gun. Ryder was the fi rst offi cer to arrive and was confronted by a suspect...
-
The GDGS Corporation adopted an arbitration policy and announced it to its employees via an e-mail. The policy stated that arbitration was the exclusive means of resolving legal disputes between...
-
Dasey was employed as a state trooper by the Massachusetts Department of State Police. In his employment application, Dasey stated that he had not used illegal drugs during the previous fi ve years....
-
Netscape offered all visitors to its Web site free SmartLoad software provided the visitor clicked his or her mouse on a designated box labeled Download. A reference to a license agreement appeared...
-
A ski resort caters to both out-of-town skiers and local skiers. The demand for lift tickets for each market segment is independent of the other market segment. The marginal cost of servicing a skier...
-
(a) Find the equation of the tangent line to f(x) = x 3 at the point where x = 2. (b) Graph the tangent line and the function on the same axes. If the tangent line is used to estimate values of the...
-
Show that the rms speed of a molecule in an ideal gas at absolute temperature T is given by Where k is Boltzmann's constant and m is the mass of a molecule. 3KT
-
If Michaela needs to wear reading glasses with refractive power of +3.0 D, what is her uncorrected near point? Neglect the distance between the glasses and the eye.
-
In intergalactic space, there is an average of about one hydrogen atom per cm3 and the temperature is 3 K. What is the absolute pressure?
-
Consider a Lagrangian \(L^{\prime}=L+d f / d t\), where the Lagrangian is \(L=\) \(L\left(q_{k}, \dot{q}_{k}, tight)\), and the function \(f=f\left(q_{k}, tight)\). (a) Show that...
-
Show that the function \(L^{\prime}\) given in the preceding problem must obey Lagrange's equations if \(L\) does, directly from the principle of stationary action. Lagrange's equations do not have...
-
In Example 4.8 we analyzed the case of a bead on a rotating parabolic wire. The energy of the bead was not conserved, but the Hamiltonian was: There is an equilibrium point at \(r=0\) which is...
Study smarter with the SolutionInn App