A charge +q is located at the origin. A charge - 2q is at 3.15 m on the x axis. (a) For what finite value of x is the electric field zero? 7 Xm To the right of both charges, which charge is always closest? Does it have the smaller or larger charge? At what locations are there two field contributions that can cancel to produce zero net field? (b) For what finite value(s) of x is the electric potential zero? smaller value larger value X m Because the charge of -2q is closer than the charge of +q for this value of x, the 2q dominates and the total field cannot be zero. m

A charge +q is located at the origin. A charge - 2q is at 3.15 m on the x axis. (a) For what finite value of x is the electric field zero? 7 Xm To the right of both charges, which charge is always closest? Does it have the smaller or larger charge? At what locations are there two field contributions that can cancel to produce zero net field? (b) For what finite value(s) of x is the electric potential zero? smaller value larger value X m Because the charge of -2q is closer than the charge of +q for this value of x, the 2q dominates and the total field cannot be zero. m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: The figure shows two charged particles on an x axis: -q = -1.60 x 10-¹⁹ Cat x = -4.00 m and q = 1.60…

A: The electric field E produced by a point charge q at a distance r from it is given by:E=k|q|r2where…

Q: The Earth has an inwardly directed electric field that varies slightly depending on location and…

Q: An infinite line of charge produces a field of magnitude 4.2 x 10“ N/C at a distance of 1.8 m.…

Q: (a) Figure (a) shows a nonconducting rod of length L-5.10 cm and uniform linear charge density A -…

Q: An arc with radius R contains a total charge of -Q. What is the field at the origin?

A: The change in electric field of the total charge is, The change in electric field for a small angle…

Q: (a) Figure (a) shows a nonconducting rod of length L = 5.40 cm and uniform linear charge density λ =…

A: Concept: To determine the potential at point P for the figure (a) we will use the formula,…

Q: Charge q11.50 nC is at x1 = 0 and charge q 2= 3.50 nC is at x2 = 4.50 m. At what point between the…

A: GivenAs per the question And we have Given the position of charge 1 is And that of second charge is…

Q: ing rod of length L= 5.20 cm ar ty. What is Vat point P at distance d = 8.20 cm along the ro ++hっt…

Q: A very long uniform line of charge has charge per unit length -2.50 nC/m and lies along the x-axis.…

Q: Problems 11-13 refer to the following situation. A nonuniform, but spherically symmetric,…

Q: The magnitude of an electric field is measured to be 30.1 x 105 N/C at a distance of 5.45 cm from a…

A: The problem is asking for the charge on a sphere given the electric field and the distance from the…

Q: Problem 5: A simple dipole consists of two charges with the same magnitude, q, but opposite sign…

A: (a) The electric field is uniform and along the positive x-axis. Therefore, the electric field E can…

Q: Problem 2: A point mass of charge q> 0 moves at 35° to a uniform electric field E for a total…

Q: Four point charges are located at the corners of a square. Each charge has magnitude 1.80 nC and the…

A: Electric field is a vector quantity having both magnitude and directionMagnitude of electric field…

Q: An electric field of magnitude 5.25 ✕ 105 N/C points due west at a certain location. Find the…

Q: Consider a square of side r = 4.70 cm with two q = +9.70 μC charges at adjacent corners of the…

Q: A very large nonconducting plate lying in the xy-plane carries a charge per unit area of 7?. A…

A: Solution: Given that charge per unit area q1 = 7 z = 4.95 cm charge per unit arrea q2 = -8

Q: Two point charges are place on XY plane as follows. -10 nC at the origin and -20 nC on y-axis at…

Q: Sketch the electric feld for the system (you need to have at least 5 feld lines for the smallest…

A: The field lines from the two -1 μC charges will converge inwards towards it.The field lines from the…

Q: Point charges of -2.31 μC and +5.97 μC are placed 0.917 m apart, with the negative charge at the…

A: The problem is asking for the location where the electric field due to the two charges is zero. The…

Q: (a) Figure (a) shows a nonconducting rod of length L = 5.80 cm and uniform linear charge density λ =…

Q: 150° 9 270° -2q Q What is the electric field at the center of the circle due to these point charges?…

A: This is a question regarding the resultant field created by a number of point charges. The field at…

Q: oint P sets above an infinite line of charge 2 m in the positive z direction. The line of charge…

A: Distance of point P, r = 2 mCharge density, λ = -5.0 x 10⁶ C/mField at P, E = ?

Q: (a) Figure (a) shows a nonconducting rod of length L = 9.00 cm and uniform linear charge density λ =…

Q: A -20nC charge is located at the origin. Find the magnitude of the Electric field located at (4,3)m.…

Q: Two test charges are located in the xy plane. Charge q₁ = -3.950 nC and is located at x₁ = 0.00 m,…

Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

A charge +q is located at the origin. A charge - 2q is at 3.15 m on the x axis.
(a) For what finite value of x is the electric field zero?
7
Xm
To the right of both charges, which charge is always closest? Does it have the smaller or larger
charge? At what locations are there two field contributions that can cancel to produce zero net
field?
(b) For what finite value(s) of x is the electric potential zero?
x m
Because the charge of -2q is closer than the charge of +q for this value of x,
the 2q dominates and the total field cannot be zero.
m
smaller value
larger value

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Calculate the position where electric field is zero

VIEW

Step 2: Calculate the smaller distance where electric potential is zero

VIEW

Step 3: Calculate the larger value of distance where electric potential is zero

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against gravity by a vertical electric field. microscope Assume the oil drop to be 1.90 µm in radius and have a density of 922 kg/m3. (a) Find the weight of the drop. N (b) If the drop has a single excess electron, find the magnitude of the electric field strength needed to balance its weight. N/C
Two charges — q1 = 2.3 × 10-6C, q2 = 5.6 × 10-6C — are separated by a distance of d = 4.75 m. At what distance, r in meters, from the first charge is the electric field zero?
Point charges of 28.0 µC and 48.0 µC are placed 0.500 m apart. (a) At what point (in m) along the line connecting them is the electric field zero? m (from the smaller charge) (b) What is the magnitude (in N/C) and direction of the electric field halfway between them? magnitude ? N/C Direction: towards larger or smaller charge?
The charge density of a non-uniformly charged sphere of radius 1.0 m is given as: For rs 1.0 m; p(r)= Po(1-4r/3) For r> 1.0 m; p(r)= 0, where r is in meters. What is the value of r in meters for which the electric field is maximum? 0.25 0.50 0.75 1.00 2.00 Other:
The surface charge density (eta) h of an infinite charged plane is -2.0 x 10-6 C/m2. A proton is shot straight away from the plane at 2.0 x 106 m/s. Make a sketch of the situation. How far does the proton travel before reaching its turning point?
Two charges are located in the x-y plane. If q1 -3.50 nC and is located at (x = 0.00 m, y = 0.960 m), and the second charge has magnitude of q2 = 4.80 nC and is located at (x = 1.40 m, y 0.650 m), calculate the x and y components, Ex and Ey, of the electric field, É, in component form at the origin, (0, 0). The Coulomb force constant is 1/ (4reo) = 8.99 x 10° N · m²/C². -13.58 -40.45 Ex N/C Ey N/C Incorrect Incorrect II
A long silver rod of radius 3.0 cm has a charge of 5 microcoulombs per meter on its surface. Find the magnitude of the electric ﬁeld at a point 5.0 cm from the center of the rod (an outside point). Round to 2 significant figures. what is the electric field at a point 2 cm from the central axis of the rod
Problem 6: A conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.4 μC. A second uncharged conducting sphere of radius r2 = 0.42 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. What is the total charge on sphere two, Q2 In coulombs
(a) Determine the electric field strength at a point 1.00 cm to the left of the middle charge shown in the figure below. (Enter the magnitude of the electric field only.) N/C(b) If a charge of −3.60 µC is placed at this point, what are the magnitude and direction of the force on it? magnitude direction
A total charge of Q = 60 microC is split into three equal point charges located 120 deg apart on a circle defined by a radius of 4 [m] and lying in the x-y plane. Find the magnitude of the electric field at the center of the three charges. Please, provide a detailed answer with explanation and drawings to understand. Thank you in advance!
The electric field of a dipole is shown below. If |01| = |22|= 80 µC and the charges are d = 4.80 cm apart, calculate the electric field at point a, 10.30 cm directly above the dipole. Enter the magnitude and the direction with respect to the positive x-axis. Answer 1 of 2: Answer 2 of 2: Submit All Answers
Consider a charge configuration comprising two point sources, one carrying a positive charge and the other a negative charge. The magnitude of the negative charge is three times as large as the positive charge. Construct a careful sketch of the electric field around the configuration.