Given that the electric potential (in units of volts) in a region in space is space is given as V(x) = 13.1x³ Find the electric field (in units of V/m) along the x- direction (E) at the point x-2.1 m.

Given that the electric potential (in units of volts) in a region in space is space is given as V(x) = 13.1x³ Find the electric field (in units of V/m) along the x- direction (E) at the point x-2.1 m.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 31P

See similar textbooks

Related questions

Q: Two point charges of magnitude 4.0 μC and -4.0 μC are situated along the x-axis at x₁ = 2.0 m and x2…

A: Given data: Two point charges Q1 = 4.0 μC = 4.0×10-6 C at x1 = 2.0 m Q2 = -4.0 μC = -4.0×10-6 C at…

Q: Two charges 5 x 10^(-8) C and - 3 x 10^(-8) C are located 16 cm apart. At what point (s) on the line…

Q: Consider a parallel-plate capacitor constructed of two square plates, 5.67 m on a side, separated by…

Q: Four charges of equal magnitude q = 2.08 µC are situated as shown in the diagram below. If d = 0.91…

A: Given data The charge magnitude at the first point is: q1 = -q The charge magnitude at the second…

Q: A conducting sphere of radius 3.25 cm has a total charge of 4.5 x 10-9 C distributed uniformly on…

Q: Four charges of equal magnitude q = 2.05 uC are situated as shown in the diagram below. If d = 0.84…

A: The electric potential at A due to charge at left can be written as,

Q: An electron moving parallel to the x axis has an initial speed of 3.70× 106 m/s at the origin. Its…

Q: uniform electric field of 250 V/m points in the +x direction. If the electric potential at x=2.0 m…

Q: Calculate the electric potential at a point P which is 20 cm away from an the point charge 1 = 9 x…

A: Given value--- charge q = 2 × 10-8 C distance r = 20 cm. We have to find--- Electric Potential…

Q: conducting sphere of radius R carries a net positive charge Q, uniformly distributed over the face…

A: electric field inside a conducting sphere is =0, as charge inside the conducting sphere is zero…

Q: Consider two positive charges located on the y-axis. let Q= 4.0μC, and a= 0.07 m. Find the electric…

A: Electric potential due to a point charge at a distance a is defined as V=kqr Here V is potential, k…

Q: A point charge q = 2.00μC is located at the origin. Find the electric potential due to this charge…

A: Given data: Charge, q = 2.00 μC = 2×10-6C Distance, x = 4 m

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 9.7x3…

A: Formula of electric field in terms of potential is as follows: Ex=vxdx…

Q: What is the magnitude of the electric field at the point (5.00i-2.00j^+4.00k) m if the electric…

Q: Consider the electric potential $(z, y, 2) = Vo a(1/m) - ry(V/m2)+ ay:(V/m) It is given that the…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x,y,z) =…

Q: A +6.00uC charge and -3.00uC charge are located on 2 vertices of an equilateral triangle with sides…

A: The equation for the electric potential at a point due to a point charge is given by

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(X) =…

A: Electric potential is given by : V(x) = 12.5 x3To find the x component of electric field at point x…

Q: The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 8.00 nC…

A: Given data The magnitude of the charge is given as q = 8 nC. The distance between the negative two…

Q: Find the electric potential at a distance r > R from the center of the sphere, assuming that the…

A: Given: The distance for electric potential is r > R. The potential at large distances from the…

Q: What is the electrical potential at the center (point O) of a non- uniformly charged semicircular…

Q: For a single, isolated point charge carrying a charge of q = 5.22 × 10-¹¹ C, one equipotential…

A: This is a problem regarding the potential arising from the presence of a charge: From the Coulomb's…

Q: A solid conducting sphere has a net positive and a radius 0.400 m. At a point 1.20 m from its…

Q: Álong the x-axis, the potential is given by: V(x) = 2.16 - 0.251x - 0.137x where x is in meters, and…

A: The electric field is the negative gradient of electric potential. The electric field is given by,…

Q: Two +2.11-uC point charges are placed at the corners of the base of an equilateral triangle. At…

A: Given, Two +2.11μC point charge are placed at the corners of the base of an equilateral triangle.q1…

Q: A very thin rod carrying linear charge density A lies in the ry plane making angle 7/4 with the x…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(xy.z) =…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x,y,z) =…

Q: Consider a uniformly charged ring of radius R-0.2 m and linear charge density 2-3 µC/m as shown in…

Q: "In a certain region, the electric potential due to a charge distribution is given by the equation…

Q: The electric potential V at any point O (x, y, z all in metres) in space is given by V = 4x² volt.…

Q: A charge of 1.0 C is located on the y-axis 1.0 m from the origin at the coordinates (0,1) while a…

A: q1= 1 C placed 1meter away from the origin on the y-axis. q2= 1 C placed 1meter away from the origin…

Q: If the electric potential is given by V(x, y) = (12 V/m2) x2 + (3 V/m) y determine the magnitude of…

Q: Assuming that the two point charges Q1 = 12nC and Q2 = -15nC are at points (4, 3, 1) and (5,-2, 3)…

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 11x³…

A: Option A is the right answer A. -145.53 V/m

Q: Three point charges are placed on the x-axis. 30 µC at the origin, -56 µC at x=0.292 m, -85 µC at x…

Q: What is the electrical potential at the center (point O) of a non- uniformly charged semicircular…

A: Given: Radius of semicircular ring R = 5 cm Charge density λ(θ) = 5.0×10-9 sin(θ) C/m Vnet at O = ?…

Q: Why is the electric potential at any point inside and outside a conducting sphere at equal…

A: The electric field inside the conducting sphere is defined as zero. Therefore, for all points inside…

Q: Given that the electric potential (in units of volts) in a region in space is given as Vxyz) =…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Suppose that the electric potential ? in a certain region is given by V=Ax2−Bx+C where A=2.15…

A: V = Ax2 - Bx + C A = 2.15 Vm2B = 3.65 V/mC = 7.55 V

Q: Under typical atmospheric conditions, there is an electric field near the earth’s surface, directed…

A: (given) The magnitude of electric field near the Earth's surface = 100 V/m Distance observe at point…

Q: Consider that the earth and the atmosphere forms a parallel plates of charges. Where the electric…

Q: Totally enclosed in an insulating sphere with a radius of 1.08 cm. 5x108 C the load is evenly…

A: Electric potential =kq /r

Q: Consider that the earth and the atmosphere forms a parallel plates of charges. Where the electric…

A: Given : E=790N/C q=1C d=10m The force acting on the charge particle in…

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

Given that the electric
potential ( in units of volts)
in a region in space is
given as
V(x) = 13.1x³
Find the electric field ( in
units of V/m) along the x-
direction (E) at the point
X-2.1 m.
Select one

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

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

An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, travelling 4.50m in the first 3μs after it is released. Are we justified in ignoring the effects of gravity? Justify the answer quantitatively.
An electron is released from rest in a uniform electric field . The electron accelerates vertically upward , travelling 4.50 m in the first 3 µs after it is released. ( a ) What are the magnitude and direction of the electric field ? b ) Are we justified in ignoring the effects of gravity ? Justify your answer quantitatively.
What is the magnitude of acceleration of an electron in a uniform electric field of (3.70x10^1) N/C ? The answer should be in m/s2 to 3 significant figures.
a uniform electric field has a magnitude of 2*104 N/C and pionts to right. An electron is released from rest in the electric filed. How far will the electrontravel nanoseconds after its release.
An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, traveling 4.50 m in the first 3.00 us after it is released. (a) What are the magnitude and direction of the electric field? (b) Are we justified in ignoring the effects of gravity? Justify your answer quantitatively.
Compute the magnitude of the electric field at the point x = 30 cm on the x-axis.
tion of an electron at a point where the electric field has magnitude 6100 N/C and is directed due north? 30. What are the magnitude and direction of the accelera- magnitude 6100 N/C and is directed due north?
A proton and an electron are moving due east in a constant electric field that also points due east. The electric field has a magnitude of 2.0 × 104 N/C. Determine the magnitude of the acceleration of the proton and the electron. ар H de = M.
This question checks that you can use the formula of the electric field due to a long, thin wire with charge on it. The field due to an infinitely long, thin wire with linear charge E = 12X Απερ η density is Imagine a long, thin wire with a constant charge per unit length of -2.3×10 C/m. What is the magnitude of the electric field at a point 10 cm from the wire (assuming that the point is much closer to the wire's nearest point than to either of its ends)? Give your answer in units of kN/C. -7
An electron is released from rest in a uniform electric field. The electron accelerates vertically upward, travelling 4.50m in the first 3μs after it is released. What are the magnitude and direction of the electric field?
At some instant the velocity components of an electron moving between two charged parallel plates are vx-1.6×105 m/s and vy-3.3x10³ m/s. Suppose the electric field between the plates is uniform and given by E = (120N/C).1 . In unit-vector notation, what are (a) the electron's acceleration in that field and (b) the electron's velocity when its x coordinate has changed by 2.2 cm? (a)(i - )j.
In a region R of free space, there is an electric field, whose vectorial expression is given by: E = 2xz²7 + 2z(x² + 1)k Determine the equation of the line that passes through the point P(1;3;-1) m