Consider a system of two charges where the first charge is on the positive x-axis and the second charge is on the positive y-axis. If these two charges produce electric fields at the origin given by 2.61, 0) N/C and (0, -2.61) N/C, respectively, determine the following. (a) the magnitude of the resultant electric field at the origin, measured counterclockwise from the positive x-axis N/C (b) the direction of the resultant electric field at the origin, measured counterclockwise from the positive x-axis counterclockwise from the +x-axis (c) What would be the magnitude of the force on a 1.34 x 10-9 C charge placed at the origin? N

Consider a system of two charges where the first charge is on the positive x-axis and the second charge is on the positive y-axis. If these two charges produce electric fields at the origin given by 2.61, 0) N/C and (0, -2.61) N/C, respectively, determine the following. (a) the magnitude of the resultant electric field at the origin, measured counterclockwise from the positive x-axis N/C (b) the direction of the resultant electric field at the origin, measured counterclockwise from the positive x-axis counterclockwise from the +x-axis (c) What would be the magnitude of the force on a 1.34 x 10-9 C charge placed at the origin? N

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: A solid spherical non-conductor of radius 14.5 cm has a uniform charge density of ρ = 3.70 µC/m3.…

Q: A uniformly charged ring of radius 10.0 cm has a total charge of 65.0 ?C. Find the electric field on…

A: The electrical field is given by E=kxa2+x232Q

Q: Item 6 A charged object with electric charge q produces an electric field. The SI unit for electric…

Q: A charged particle q1 = 7.00 C is located at the origin and a charged particle q2 = -5.00 C is…

Q: A solid non-conducting sphere has a radius of 3.4 m. The charge on the sphere is uniformly…

Q: An electric field is found to be <3xyz, 2x2/z, x+y+z>. What is the x-component of the electric…

A: The objective of the question is to find the x-component of the electric field vector at a given…

Q: A thin, square, conducting plate 54.0 cm on a side lies in the xy plane. A total charge of 3.20 x…

Q: The electric field at 4 cm from the center of a long copper rod of radius 1 cm has a magnitude of 6…

A: GivenTo determine that(A) The charge per unit length?(B) The electric flux through 5cm ?

Q: A charge of -36 µC is distributed uniformly throughout a spherical volume of radius 26.0 cm.…

Q: An electric field is = sign(x)·(370 N/C), where sign(x) equals −1 if x 0. A cylinder of length L =…

A: Given Electric field E→ = sign (x) (370 N/C) Length (L) = 24 cm = 0.24 m Radius (R)…

Q: Suppose you want to determine the electric field in a certain region of space. You have a small…

A: Given that Charge q1=+40.0 μCforce acting on it F1=45.0 μNCharge q2= -20.0 μCforce acting on…

Q: A closed surface with dimensions a = b= 0.208 m and c = 0.3328 m is located as in the figure. The…

A: Putting values of α and β in expression of electric field,I obtain E=5+6x2 Total Electric flux is…

Q: The volume charge density ρ for a spherical charge distribution of radius R = 6.00 mm is not…

Q: Two point charges are located as follows: charge q1 = +12.00 µC is at (-3.00, 1.00) m and charge q3…

Q: harge q=1.6 µC is placed in the electric field with x component Ex=-0.064 MN/C. What is the…

A: Value of charge (q) =1.6CValue of electric field in x () =0.064MN/C

Q: Two charges are placed on the x axis. One of the charges (91 = +6.99 μC) is at x₁ = +3.00 cm and the…

Q: Suppose you want to determine the electric field in a certain region of space. You have a small…

Q: A correct integral expression for the y component of the electric field at this point is given by…

Q: A line of charge of length L is lying along the x axis with its left end at the origin. The linear…

A: Electric field due to a line of charge having linear charge density E=14πε∘∫λdlr2…

Q: isider a thin rod which has a The rod is bent into a quarter of a circle of radius R = 1 m. Find the…

A: Total charge, Q=-1 μCradius, R=1 mcharge per unit length, λ=QπR/2=2QπRFrom the diagram below, dQ=λ…

Q: A uniform line of charge has a length L = 72 cm and total charge Q = 6.0 µC. What is the magnitude…

Q: Two charges are placed on the x axis. One of the charges (q1 = + 5.26 µC) is at x1 = +3.00 cm and…

A: field due to q1 and q2 are given here.

Q: C

A: GivenE=(3.0 j+7.0 k)×103 N/C

Q: A spherical surface completely surrounds a collection of charges. Find the electric flux (with its…

Q: Consider a ring of charge. The ring is in the x-y plane and has a radius of 3.5 m. The charge per…

Q: The figure gives the magnitude of the electric field inside and outside a sphere with a positive…

Q: You are working as an intern for a meteorological laboratory. You are out in the field taking…

Q: Given: A conducting spherical shell with radius 15.0 cm carries a net charge of -6.40μ C uniformly…

A: (a) Given: The radius of the spherical shell is 15.0 cm. The net charge on the surface of the sphere…

Q: Consider a thin, spherical shell of radius 16.0 cm with a total charge of 29.8 µC distributed…

Q: Charge is distributed uniformly throughout the volume of an infinitely long cylinder of radius R =…

Q: Six negative charges and two positive charges, all of equal magnitude Q, are arranged as shown in…

A: a) net electric field along x-axis is Enet x-axis = 2*9*109*q/r2 and 9*109*q/r2 =150N/C Ex = 300i^…

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

100%

Consider a system of two charges where the first charge is on the positive x-axis and the second charge is on the positive y-axis. If these two charges produce electric fields at the origin given by
(2.61, 0) N/C and (0, -2.61) N/C, respectively, determine the following.
(a) the magnitude of the resultant electric field at the origin, measured counterclockwise from the positive x-axis
N/C
(b) the direction of the resultant electric field at the origin, measured counterclockwise from the positive x-axis
° counterclockwise from the +x-axis
(c) What would be the magnitude of the force on a 1.34 x 10-⁹ C charge placed at the origin?
N

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data:

VIEW

Step 2: a) Calculate the magnitude of electric field at origin:

VIEW

Step 3: b) Calculate the direction of magnetic field:

VIEW

Step 4: c) Magnitude of force on charge:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 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

In a physics experiment, we place three charges at the corners of an equilateral triangle, where q1 = 2.75 μC, q2= - 3.45 μC, and q3 = 3.25 μC. If I were to measure the electric field right between charges q1 and q2, what would I find?
A charge distribution creates the following electric field throughout all space: E(r, 0, q) = (3/r) (r hat) + 2 sin cos sin 0(theta hat) + sin cos p (phi hat). Given this electric field, calculate the charge density at location (r, 0, p) = (ab.c).
Charges q1 and q2 are located on the corners of a rectangle. If width w=60 cm and length l=80.2 cm find the magnitude of the electric field (in N/C) at P when q1= 4.08 nC and q2=1.43 nC.
A spherical surface completely surrounds a collection of charges. Find the electric flux (with its sign) through the surface if the collection consists of (a) a single +9.10 x 106 C charge, (b) a single -2.00 x 106 C charge, and (c) both of the charges in (a) and (b). (a) Number i (b) Number i (c) Number Units Units Units
On the x axis, a point charge Q is placed at the origin x = 0.00 m. The electric field at x = 2.50 m is measured to be 6.77E-3 N/C in the –xdirection. What is the electric field E at x = –1.00 m (in N/C; use positive sign if E points in the +x direction, and negative sign if E points in the –xdirection)?
An electric field 7 N/C is passing through a region of area 2.1 m² in the xy-plane. If the electric field makes an angle of 56° with respect to the area vector perpendicular to the region, calculate the electric flux magnitude (in N-m²/C) through the region.
Problem 1: Part (a) Express the magnitude of the electric field between the two plates, E, in terms of the charge q on one plate, its area A, and ε0. E = ______ Part (b) Express the electric flux ΦE, in terms of q and ε0. ΦE = ______ Part (c) Express the derivative of ΦE with respect of time t in terms of I and ε0. dΦE/dt = ______ Part (d) What is the displacement current which is passing through the capacitor in amps? ID = ______ A
An unknown charge sits on a conducting solid sphere of radius 9.5 cm. If the electric field 13 cm from the center of the sphere has magnitude 4.3 × 103 N/C and is directed radially inward, what is the net charge on the sphere?
y 0| X The positive charge Q is evenly distributed on the y-axis between y = 0 and y = a. Find the y- component of the electric field vector at a distance x from the origin on the positive x-axis.
For a given surface, the electric flux, PE, is proportional to the number of field lines through the surface. For a uniform electric field, the maximum electric flux is equal to the product of electric field at the surface and the surface area (i.e., EA). The electric flux is defined to be positive when the electric field E has a component in the same direction as the area vector A and is negative when the electric field has a component in the direction opposite to the area vector. C. Sketch vectors A and Ē such that the electric flux is: Positive Negative Zero