A -10mC charge is placed in an Electric Field that is directed vertically downward and its magnitude is changing with vertical distance in the following way: E = 2x105(y2-y3+1)V/m. Assume y=0 as the starting point (a) What will be the force experienced by the charge when it is at a point  75cm upwards  from its starting position  (b)What is the Potential difference of the charge when it moves 75 cm upwards from where it was first positioned.                  (c) What is the work done by the charge in this process?

Q: What is the magnitude of the electric field at the point (2.60 i -6.20j+ 2.20 k) m if the electric…

A: Position given = 2.6i^  - 6.2j^ +2.2k^ V (Potential) = 1.5xyz2 E = -(gradient of V)

Q: Two metal plates are arranged as shown in the diagram below, one charged positive and the other…

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Q: The electric field of a disk of radius R and charge Q is measured at a distance z from the center of…

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Q: What is the magnitude of the electric field at the point (4.40 î - 9.10 ĵ + 4.40 k̂) m if the…

A: Given: Point for electric field,P=4.40 i^,-9.10 j^,4.40 k^ Electric potential, V=8.80 xyz2…

Q: The drawing shows the electric potential as a function of dis- tance along the x axis. Determine the…

A: The electric potential versus distance graph is shown below.

Q: A charged ring of radius R-3 m and total charge of Q=75 nC is placed on the xy plane as shown in the…

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Q: For the electric dipole shown below, what is the electric potential (in V) at the point (0, 1.0 cm)?…

A: We know,     .← r →.    Q          P   VP = KQr

Q: The magnitude of the uniform electric field along the -y-axis is 275 V/m. Coordinates of point A…

A: Strength of the electric field,  Coordinates of A,  Coordinates of B,

Q: The speed of an electron moving along the y axis increases from 4.45 -10 m/s at y = 10.0 cm to 7.75…

A: a) As per the conservation law of energy, Here, E, K, U, m, v, q, and V represent the electron’s…

Q: The electrostatic potential V(x,y) in free space in a region where the charge density p is zero is…

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Q: A uniform electric field is produced using a parallel-plate capacitor made up of two identical…

A: In this problem, the potential vs position graph is given. The magnitude of electric field will be…

Q: The yz-plane contains a uniform sheet of charge with ps1=5 pC/m2 , A second sheet with ps2=-4 pC/m2…

A: Given data: The charge density of first sheet is ρs1=5 pC/m2. The charge density of second sheet is…

Q: In the figure below, calculate the the electric potential at point P due to the three surrounding…

A: We have given equilateral triangle and at corners of triangle, 3 charged particles are present. We…

Q: The electrical potential over a certain region of space is given as V(x, y, z) = 2xy² z² - x²y Which…

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Q: solid conductor sphere (radius = 5.0cm) has a charge of 0.25 nC uniformly distributed on its…

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Q: Suppose that an electric field has the following components: Ex=6x^2yz^2, Ey=2x^3z^2+2yz,…

A: Ans:- Image-1

Q: A charge Q is distributed uniformly around the perimeter of a ring of radius R. Determine the…

A: The electric potential at a distance z due to a  charge distribution in a disc of R is given by V(z)…

Q: PRACTICE: Throughout a particular region of space, the electric potential can be expressed as V =…

A: The electric potential V = 2xz+2y-7z We need to find the electric potential at point P = (7,-8,1)

Q: Points A [at (3, 6) m] and B [at (8, –3) m] are in a region where the electric field is uniform and…

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Q: Given the electrical potential V = 2xyz^2 – 3xy^3 in a region, what is the magnitude of the electric…

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Q: The magnitude of the uniform electric field along the -y-axis is 275 V / m. Coordinates of point A |…

A: Given : Electric field along -y direction, E→=-275j^V/m Co-ordinate of A(-0.1, -0.3)m and B(0.2,…

Q: A particle carrying 3.00 nC of positive charge is at the origin of a rectangular coordinate system,…

A: In this question we need to first calculate electrostatic potential (scaler quantity) at mid point…

Q: • C E • A • B An electric field of strength E = 5000 N/C is directed along the +x-axis as shown. A…

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Q: Suppose that an electric field has the following components: Ex=6x2yz2, Ey=2x3z2+2yz, Ez=4x3yz+y2,…

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Q: A metallic sphere of radius 5 cm is charged such that the potential of its surface is 100 V…

A: Radius of a sphere is 5 cm Potential at a surface of sphere is 10 volt

Q: +7.45 μC 1.25 m , | 1.25 m P! 1.25 m +2.75 μC -1.72 μC

A: We have an equilateral triangle of side a=1.25 m on the corners of which we have 3 charges of…

Q: Question 12 / 13 ميز هذا السؤال A uniform electric field of magnitude 25 V/m is directed in the…

A: GivenUniform electric field E = 25 V/MPoint A   (-0.2, -0.3) MPoint B   (0.4 , 0.5) M

Q: Two parallel conducting plates are separated by 3.0 mm and carry equal but opposite surface charge…

A: The electric field of infinite parallel plate is

Q: A uniformly charged rod of length /= 50 cm lies along the x axis, as shown in the figure below. The…

A: Answer              d   113

Q: The inner and outer surfaces of a cell membrane carry a negative and positive charge, respectively.…

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Q: What is the magnitude of the electric field at the point (8.10i - 5.80j + 9.40 k) m if the electric…

A: Given: The position of the point is 8.1i^-5.8j^+9.4k^ m. The electric potential is.  V=8.5xyz2…

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

A: The given data are: Vx=12.4x3x=2.1 m

Q: A small spherical object carries a charge of 8.00 nC. At what distance from the center of the object…

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Q: The potential in a region between x= 0 and x = 6.00 m is V = a + bx, where a Determine (a) the…

A: Given Electric potential at x is. V(x) = 10 - 7x  volts. And  E = dV/dX

Q: The drawing shows a uniform electric field that points in the negative y direction; the magnitude of…

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Q: A spark plug in an automobile engine consists of two metal conductors that are separated by a…

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Q: Consider an electric field given by E = (4.0i + 3.0j)N/C.Determine the absolute value of the…

A: The displacement vector between the points is given by, d→ = (5-2)i^ + (7-3)j^ = 3i^ + 4j^ The…

Q: The electric potential at x = 3.00 m is 120 V, and the electric potential at x = 5.00 m is 190 V.…

A: Electric Potential at x1=3 m is V1=120 V and at x2=5 m is V2=190 V Relation between x component of…

Q: Three charges are kept on a straight line as shown in figure. With A and Bdenoting constants, the…

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Q: An electric potential is given by the function V (x, y, z) = 6 sin (3x)-e-6y [z²+R?]5/2 5) Find all…

A: Step 1 given data

Q: A charge of q =+1.20 µC is placed in a uniform x- directed electric field of magnitude Ex = 1.40 x…

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Q: An electric field of +200 mV/m originating from the positive metal plate. With the starting surface…

A: Write the given values with the suitable variables. E=+200 mV/m=+200×10-3 V/md=10 nm=10×10-9 m Here,…

Q: illustrated in the figure, a negatively charged particle is released from rest at point B and…

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Q: A point charge, q = -8.0 µC, moves for a distance of 80 cm at an angle of 900 relative to the…

A: Given value--- charge = -8 micro C.  distance = 80 cm. angle = 90 degree.  electric field = 500…

Q: What is the magnitude of the electric field at the point (3.00 î− 2.00 ĵ+ 4.00 k̂ ) m if the…

A: Basic Details The electric field is equal to negative of derivative of the potential function.

Q: The electrical potential in a given region of space is given as V(x.y.z) = 3x - 4xy^2 + 5yz^3.…

A: We can calculate the  electric field E→ from the potential V(x,y,z) by using the following relation,…

Q: A particle with a charge of q = 11.0 µC travels from the origin to the point (x, y) = (20.0 cm, 50.0…

A: Given, q=11 μC Points, x= 20 cm= 0.2 m and, y= 50cm= 0.5 m Electric field, E⇀=220i^ V/m So, there is…

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.