Explanation Given data: The charge is − 2.0 nC , distance between charges q 1 and − 2.0 nC is 10 cm and distance between − 2.0 nC and q 2 is 10 cm. Formula used: Write the expression for magnitude of force between point charges using Coulomb’s law ( F ) . F = K | q 1 | | q 2 | r 2 (1). Here, | q 1 | is magnitude of first point charge, | q 2 | is magnitude of second point charge, r is distance between the point charges, and K is electrostatic constant, which is 9 .0 × 10 9 N ⋅ m 2 C 2 . Write the expression for net force on q 2 ( F → on q 2 ) . F → on q 2 = F → q 1 on q 2 + F → − 2 .0 nC on q 2 (2) Here, F → q 1 on q 2 is force on q 2 due to q 1 , and F → − 2 .0 nC on q 2 is force on q 2 due to − 2.0 nC . Explanation: The net force on charge q 2 is zero as it is in static equilibrium. Consider charge q 2 is positive, and hence chare q 1 must be positive to make net force zero. F → on q 2 = 0 Calculation of F → q 1 on q 2 : From Figure P20.18, the distance between charges q 1 and q 2 is, 10 cm + 10 cm = 20 cm . Substitute F → q 1 on q 2 for F , 20 cm for r , and 9 .0 × 10 9 N ⋅ m 2 C 2 for K in equation (1), F → q 1 on q 2 = ( 9 .0 × 10 9 N ⋅ m 2 C 2 ) | q 1 | | q 2 | ( 20 cm ) 2 = ( 9 .0 × 10 9 N ⋅ m 2 C 2 ) q 1 q 2 ( 0.20 m ) 2 { ∵ 1 cm = 0.01 m } = ( 9 .0 × 10 9 N ⋅ m 2 C 2 ) q 1 q 2 0.04 m 2 The force F → q 1 on q 2 is in positive x -direction. Calculation of F → − 2 .0 nC on q 2 : Substitute F → − 2 .0 nC on q 2 for F , − 2.0 nC for q 1 , 10 cm for r , and 9 .0 × 10 9 N ⋅ m 2 C 2 for K in equation (1), F → − 2 .0 nC on q 2 = ( 9 .0 × 10 9 N ⋅ m 2 C 2 ) | − 2.0 nC | | q 2 | ( 10 cm ) 2 = ( 9 .0 × 10 9 N ⋅ m 2 C 2 ) ( 2.0 × 10 − 9 C ) q 2 ( 0

4th Edition

ISBN: 9780134779218

Author: Knight

Publisher: PEARSON

See similar textbooks

Question

Chapter 20, Problem 18P

To determine

The value of charge q1.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 20, Problem 17P

Chapter 20, Problem 19P

Students have asked these similar questions

In the pivot assignment, we observed waves moving on a string stretched by hanging weights. We noticed that certain frequencies produced standing waves. One such situation is shown below: 0 ст Direct Measurement ©2015 Peter Bohacek I. 20 0 cm 10 20 30 40 50 60 70 80 90 100 Which Harmonic is this? Do NOT include units! What is the wavelength of this wave in cm with only no decimal places? If the speed of this wave is 2500 cm/s, what is the frequency of this harmonic (in Hz, with NO decimal places)?

Four capacitors are connected as shown in the figure below. (Let C = 12.0 µF.) A circuit consists of four capacitors. It begins at point a before the wire splits in two directions. On the upper split, there is a capacitor C followed by a 3.00 µF capacitor. On the lower split, there is a 6.00 µF capacitor. The two splits reconnect and are followed by a 20.0 µF capacitor, which is then followed by point b. (a) Find the equivalent capacitance between points a and b. µF(b) Calculate the charge on each capacitor, taking ΔVab = 16.0 V. 20.0 µF capacitor µC 6.00 µF capacitor µC 3.00 µF capacitor µC capacitor C µC

Two conductors having net charges of +14.0 µC and -14.0 µC have a potential difference of 14.0 V between them. (a) Determine the capacitance of the system. F (b) What is the potential difference between the two conductors if the charges on each are increased to +196.0 µC and -196.0 µC? V

Chapter 20 Solutions

COLLEGE PHYSICS,AP EDITION >NASTA ED.<

Ch. 20 - Four lightweight balls A, B, C, and D are...Ch. 20 - Plastic and glass rods that have been charged by...Ch. 20 - When you take clothes out of the drier right after...Ch. 20 - The positive charge in Figure Q20.5 is +Q. What is...Ch. 20 - As shown in Figure Q20.6, metal sphere A has 4...Ch. 20 - Figure Q20.7 shows a positively charged rod held...Ch. 20 - A plastic balloon that has been rubbed with wool...Ch. 20 - You are given two metal spheres on portable...Ch. 20 - A metal rod A and a metal sphere B, on insulating...Ch. 20 - Prob. 10CQ

Ch. 20 - Prob. 11CQ Ch. 20 - Prob. 12CQ Ch. 20 - Prob. 13CQ Ch. 20 - Prob. 14CQ Ch. 20 - Prob. 15CQ Ch. 20 - Prob. 16CQ Ch. 20 - Iontophoresis is a noninvasive process that...Ch. 20 - A positively charged particle is in the center of...Ch. 20 - Two charged particles are separated by 10 cm....Ch. 20 - A small positive charge q experiences a force of...Ch. 20 - A typical commercial airplane is struck by...Ch. 20 - Microbes such as bacteria have small positive...Ch. 20 - a. Is there a point between a 10 nC charge and a...Ch. 20 - Prob. 24CQ Ch. 20 - Prob. 25CQ Ch. 20 - Prob. 26MCQ Ch. 20 - Prob. 27MCQ Ch. 20 - Prob. 28MCQ Ch. 20 - Prob. 29MCQ Ch. 20 - A glass bead charged to +3.5 nC exerts an 8.0 104...Ch. 20 - A +7.5 nC point charge and a 2.0 nC point charge...Ch. 20 - Prob. 32MCQ Ch. 20 - Prob. 33MCQ Ch. 20 - Prob. 34MCQ Ch. 20 - Prob. 35MCQ Ch. 20 - Prob. 36MCQ Ch. 20 - Prob. 37MCQ Ch. 20 - A glass rod is charged to +5.0 nC by rubbing. a....Ch. 20 - Prob. 2P Ch. 20 - A plastic rod is charged to 20 nC by rubbing. a....Ch. 20 - Prob. 4P Ch. 20 - A plastic rod that has been charged to 15.0 nC...Ch. 20 - A glass rod that has been charged to +12.0 nC...Ch. 20 - Two identical metal spheres A and Bare in contact....Ch. 20 - Two identical metal spheres A and Bare connected...Ch. 20 - Prob. 9P Ch. 20 - Prob. 10P Ch. 20 - Two 1.0 kg masses are 1.0 m apart on a...Ch. 20 - Prob. 12P Ch. 20 - Prob. 13P Ch. 20 - A small plastic sphere with a charge of 5.0 nC is...Ch. 20 - A small metal bead, labeled A, has a charge of 25...Ch. 20 - A small glass bead has been charged to +20 nC. A...Ch. 20 - Prob. 17P Ch. 20 - Prob. 18P Ch. 20 - Object A, which has been charged to +10 nC, is at...Ch. 20 - Prob. 20P Ch. 20 - What magnitude charge creates a 1.0 N/C electric...Ch. 20 - Prob. 22P Ch. 20 - What are the strength and direction of the...Ch. 20 - Prob. 24P Ch. 20 - What are the strength and direction of the...Ch. 20 - A 30 nC charge experiences a 0.035 N electric...Ch. 20 - A 10 nC charge is located at the origin. a. What...Ch. 20 - A +1 0 nC charge is located at the origin. a. What...Ch. 20 - Prob. 29P Ch. 20 - Prob. 30P Ch. 20 - A parallel-plate capacitor is constructed of two...Ch. 20 - Prob. 32P Ch. 20 - A parallel-plate capacitor is formed from two 4.0...Ch. 20 - Two identical closely spaced circular disks form a...Ch. 20 - A parallel-plate capacitor is constructed of two...Ch. 20 - Prob. 36P Ch. 20 - Prob. 37P Ch. 20 - Prob. 38P Ch. 20 - What are the strength and direction of an electric...Ch. 20 - Prob. 40P Ch. 20 - A 0.10 g plastic bead is charged by the addition...Ch. 20 - Prob. 42P Ch. 20 - One kind of e-book display consists of millions of...Ch. 20 - Prob. 44P Ch. 20 - A protein molecule in an electrophoresis gel has a...Ch. 20 - Large electric fields in cell membranes cause ions...Ch. 20 - Molecules of carbon mon-oxide are permanent...Ch. 20 - A 2.0-mmdiameter copper ball is charged to +50 nC....Ch. 20 - Two protons are 2.0 fm apart. (1 fm= 1 femtometer...Ch. 20 - The nucleus of a 12Xe atom (an isotope of the...Ch. 20 - Two equally charged, 1.00 g spheres are placed...Ch. 20 - An electric dipole is formed from 1.0 nC point...Ch. 20 - Prob. 53GP Ch. 20 - Prob. 54GP Ch. 20 - Prob. 55GP Ch. 20 - Prob. 56GP Ch. 20 - Prob. 57GP Ch. 20 - Prob. 58GP Ch. 20 - Prob. 59GP Ch. 20 - As shown in Figure P20.52, a 5.0 nC charge sits at...Ch. 20 - Prob. 61GP Ch. 20 - In a simple model of the hydrogen atom, the...Ch. 20 - A 0.10 g honeybee acquires a charge of +23 pC...Ch. 20 - Two 2.0-cm-diameter disks face each other, 1.0 mm...Ch. 20 - The electron gun in a television tube uses a...Ch. 20 - Prob. 66GP Ch. 20 - A 4.0 mg bead with a charge of 2.5 nC rests on a...Ch. 20 - Prob. 68GP Ch. 20 - A small charged bead has a mass of 1.0 g. It is...Ch. 20 - A bead with a mass of 0.050 g and a charge of 15...Ch. 20 - Prob. 71GP Ch. 20 - Prob. 72GP Ch. 20 - A small bead with a positive charge q is free to...Ch. 20 - A parallel-plate capacitor consists of two plates,...Ch. 20 - Which of the following describes the charges on...Ch. 20 - Because the droplets are conductors, a droplet's...Ch. 20 - Another way to sort the droplets would be to give...

Knowledge Booster

The value of charge q 1 .

The value of charge q1.

Want to see the full answer?

Chapter 20 Solutions