UNIVERSITY PHYSICS,VOL.2 (OER)
16th Edition
ISBN: 2810022325764
Author: OpenStax
Publisher: XANEDU C
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Chapter 8, Problem 19P
What charge is stored in a
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A planar double pendulum consists of two point masses \[m_1 = 1.00~\mathrm{kg}, \qquad m_2 = 1.00~\mathrm{kg}\]connected by massless, rigid rods of lengths \[L_1 = 1.00~\mathrm{m}, \qquad L_2 = 1.20~\mathrm{m}.\]The upper rod is hinged to a fixed pivot; gravity acts vertically downward with\[g = 9.81~\mathrm{m\,s^{-2}}.\]Define the generalized coordinates \(\theta_1,\theta_2\) as the angles each rod makes with thedownward vertical (positive anticlockwise, measured in radians unless stated otherwise).At \(t=0\) the system is released from rest with \[\theta_1(0)=120^{\circ}, \qquad\theta_2(0)=-10^{\circ}, \qquad\dot{\theta}_1(0)=\dot{\theta}_2(0)=0 .\]Using the exact nonlinear equations of motion (no small-angle or planar-pendulumapproximations) and assuming the rods never stretch or slip, determine the angle\(\theta_2\) at the instant\[t = 10.0~\mathrm{s}.\]Give the result in degrees, in the interval \((-180^{\circ},180^{\circ}]\).
What are the expected readings of the ammeter and voltmeter for the circuit in the figure below? (R = 5.60 Ω, ΔV = 6.30 V)
ammeter
I =
simple diagram to illustrate the setup for each law- coulombs law and biot savart law
Chapter 8 Solutions
UNIVERSITY PHYSICS,VOL.2 (OER)
Ch. 8 - Check Your Understanding The capacitance of a...Ch. 8 - Check Your Understanding Verify that /V and e0/d...Ch. 8 - Check Your Understanding The radius of the outer...Ch. 8 - Check Your Understanding When a cylindrical...Ch. 8 - Check Your Understanding Determine the net...Ch. 8 - Check Your Understanding The potential difference...Ch. 8 - Check Your Understanding When a dielectric is...Ch. 8 - Check Your Understanding Continuing with Example...Ch. 8 - Check Your Understanding Repeat the calculations...Ch. 8 - Does the capacitance of a device depend on the...
Ch. 8 - Would you place the plates of a parallel-plate...Ch. 8 - The value of the capacitance is zero if the plates...Ch. 8 - If the plates of a capacitor have different areas,...Ch. 8 - Does the capacitance of a spherical capacitor...Ch. 8 - If you wish to store a large amount of charge in a...Ch. 8 - What is the maximum capacitance you can get by...Ch. 8 - If you wish to store a large amount of energy in a...Ch. 8 - Discuss what would happen if a conducting slab...Ch. 8 - Discuss how the energy stored in an empty but...Ch. 8 - Distinguish between dielectric strength and...Ch. 8 - Water is a good solvent because it has a high...Ch. 8 - Water has a high dielectric constant. Explain why...Ch. 8 - Elaborate on why molecules in a dielectric...Ch. 8 - Explain why the dielectric constant of a substance...Ch. 8 - Give a reason why a dielectric material increases...Ch. 8 - Elaborate on the way in which the polar character...Ch. 8 - Sparks will occur between the plates of an...Ch. 8 - What charge is stored in a 180.0F capacitor when...Ch. 8 - Find the charge stored when 5.50 V is applied to...Ch. 8 - Calculate the voltage applied to a 2.00F capacitor...Ch. 8 - What voltage must be applied to an 8.00-nF...Ch. 8 - What capacitance is needed to store 3.00C of...Ch. 8 - What is the capacitance of a large Van de Graaff...Ch. 8 - The plates of an empty parallel-plate capacitor of...Ch. 8 - A 60.0-pF vacuum capacitor has a plate area of...Ch. 8 - A set of parallel plates has a capacitance of 5.0F...Ch. 8 - Consider Earth to be a spherical conductor of...Ch. 8 - If the capacitance per unit length of a...Ch. 8 - , An empty parallel-plate capacitor has a...Ch. 8 - A 4.00-pF is connected in series with an 8.00-pF...Ch. 8 - Three capacitors, with capacitances of C1=2.0F ,...Ch. 8 - Find the total capacitance of this combination of...Ch. 8 - Suppose you need a capacitor bank with a total...Ch. 8 - What total capacitances can yon make by connecting...Ch. 8 - Find the equivalent capacitance of the combination...Ch. 8 - Find the net capacitance of the combination of...Ch. 8 - A 40-pF capacitor is charged to a potential...Ch. 8 - A 2.0F capacitor and a 4.0F capacitor are...Ch. 8 - How much energy is stored in an 8.00F capacitor...Ch. 8 - A capacitor has a charge of 2.5C when connected to...Ch. 8 - How much energy is stored in die electrical field...Ch. 8 - (a) What is the energy stored in the 10.0F...Ch. 8 - In open-heart surgery, a much smaller amount of...Ch. 8 - A 165F capacitor is used in conjunction with a dc...Ch. 8 - Suppose you have a 9.00-V battery, a 2.00F...Ch. 8 - An anxious physicist worries that the two metal...Ch. 8 - A parallel-plate capacitor is made of two square...Ch. 8 - Suppose that the capacitance of a variable...Ch. 8 - Show that for a given dielectric material, the...Ch. 8 - An air-filled capacitor is made from two flat...Ch. 8 - A capacitor is made from two concentric spheres,...Ch. 8 - A parallel-plate capacitor has charge of magnitude...Ch. 8 - Some cell walls in the human body have a layer of...Ch. 8 - A parallel-plate capacitor with only air between...Ch. 8 - Two flat plates containing equal and opposite...Ch. 8 - For a Teflon ™-filled, parallel-plate capacitor,...Ch. 8 - Find the capacitance of a parallel-plate capacitor...Ch. 8 - (a) What is the capacitance of a parallel-plate...Ch. 8 - Two parallel plates have equal and opposite...Ch. 8 - The dielectric to be used in a parallel-plate...Ch. 8 - When a 360-nF air capacitor is connected to a...Ch. 8 - A parallel-plate capacitor has square plates that...Ch. 8 - A capacitor is made from two flat parallel plates...Ch. 8 - An air-filled (empty) parallel-plate capacitor is...Ch. 8 - Suppose that the capacitance of a variable...Ch. 8 - Earth can be considered as a spherical capacitor...Ch. 8 - A 4.00F capacitor and a 6.00F capacitor are...Ch. 8 - Three capacitors having capacitances of 8.40,...Ch. 8 - A parallel-plate capacitor with capacitance 5.0F...Ch. 8 - (a) How much energy is stored in the electrical...Ch. 8 - Three capacitors having capacitances 8.4, 8.4, and...Ch. 8 - (a) An 8.00/F capacitor is connected in parallel...Ch. 8 - (a) On a particular day, it takes 9.60103 J of...Ch. 8 - (a) A certain parallel-plate capacitor has plates...Ch. 8 - A prankster applies 450 V to an 80.0F capacitor...Ch. 8 - A spherical capacitor is formed from two...Ch. 8 - The network of capacitors shown below are all...Ch. 8 - Electronic flash units for cameras contain a...Ch. 8 - A spherical capacitor is formed from two...Ch. 8 - Prob. 81CPCh. 8 - A parallel-plate capacitor is filled with two...Ch. 8 - A parallel-plate capacitor is filled with two...Ch. 8 - A capacitor has parallel plates of area 12 cm2...
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