Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 25, Problem 41AP
To determine
The maximum potential difference between wire and the cylinder.
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Draw a right-handed 3D Cartesian coordinate system (= x, y and z axes). Show a vector A with
tail in the origin and sticking out in the positive x, y and z directions. Show the angles between A
and the positive x, y and z axes, and call these angles α₁, α₂ and α3
Prove that Ax Acos α₁
Ay
= Acos α₂
A₂- Acos α3
solve for Vo
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
-
C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Chapter 25 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 25.1 - A capacitor stores charge Q at a potential...Ch. 25.2 - Many computer keyboard buttons are constructed of...Ch. 25.3 - Two capacitors are identical. They can be...Ch. 25.4 - You have three capacitors and a battery. In which...Ch. 25.5 - If you have ever tried to hang a picture or a...Ch. 25 - (a) When a battery is connected to the plates of a...Ch. 25 - Two conductors having net charges of +10.0 C and...Ch. 25 - When a potential difference of 150 V is applied to...Ch. 25 - An air-filled parallel-plate capacitor has plates...Ch. 25 - Prob. 5P
Ch. 25 - Review. A small object of mass m carries a charge...Ch. 25 - Find the equivalent capacitance of a 4.20-F...Ch. 25 - Prob. 8PCh. 25 - A group of identical capacitors is connected first...Ch. 25 - Three capacitors are connected to a battery as...Ch. 25 - Four capacitors are connected as shown in Figure...Ch. 25 - (a) Find the equivalent capacitance between points...Ch. 25 - Find the equivalent capacitance between points a...Ch. 25 - You are working at an electronics fabrication...Ch. 25 - Two capacitors give an equivalent capacitance of...Ch. 25 - Prob. 16PCh. 25 - A 3.00-F capacitor is connected to a 12.0-V...Ch. 25 - Prob. 18PCh. 25 - Prob. 19PCh. 25 - Two identical parallel-plate capacitors, each with...Ch. 25 - Two capacitors, C1 = 25.0 F and C2 = 5.00 F, are...Ch. 25 - A parallel-plate capacitor has a charge Q and...Ch. 25 - Prob. 23PCh. 25 - Prob. 24PCh. 25 - Determine (a) the capacitance and (b) the maximum...Ch. 25 - The voltage across an air-filled parallel-plate...Ch. 25 - Prob. 27PCh. 25 - Each capacitor in the combination shown in Figure...Ch. 25 - Prob. 29PCh. 25 - An infinite line of positive charge lies along the...Ch. 25 - Prob. 31PCh. 25 - Prob. 32PCh. 25 - Prob. 33APCh. 25 - Four parallel metal plates P1, P2, P3, and P4,...Ch. 25 - A uniform electric field E = 3 000 V/m exists...Ch. 25 - Two large, parallel metal plates, each of area A,...Ch. 25 - A parallel-plate capacitor with vacuum between its...Ch. 25 - Why is the following situation impossible? A...Ch. 25 - Two square plates of sides are placed parallel to...Ch. 25 - (a) Two spheres have radii a and b, and their...Ch. 25 - Prob. 41APCh. 25 - A parallel-plate capacitor of plate separation d...Ch. 25 - To repair a power supply for a stereo amplifier,...Ch. 25 - Prob. 44APCh. 25 - You are part of a team working in a machine parts...Ch. 25 - Consider two long, parallel, and oppositely...Ch. 25 - Some physical systems possessing capacitance...Ch. 25 - A parallel-plate capacitor with plates of area LW...Ch. 25 - A capacitor is constructed from two square,...Ch. 25 - This problem is a continuation of Problem 45. You...
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