Suppose that, as a function of x, y, and z, an electric field has the following components: Ex=6x2yz2, Ey=2x3z2+2yz, Ez=4x3yz+y2, where E is measured in V/m and the distances are measured in m. Find the electrical potential difference in going from the origin to the point x=4.80 m, y=3.80 m, z=7.60 m. (I keep getting 1.459*10^5 V and -1.459*10^5 V, but that is not correct).

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: A point charge q = 0.01C is moved from point A to point B in an electric field. If the electric…

A: Write the expression for the change in potential energy.

Q: A non-conducting disk of radius R = 30 cm is uniformly charged and the electric field is measured to…

A:

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: An electron moving parallel to the x axis has an initial speed of 3.70 x 100 m/s at the origin. Its…

A: Initial velocity of electron (u) = 3.70×106 msFinal velocity of electron (v) = 1.40×105 msinitial…

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

A: Given: The electric potential is Vx,y,z=3x-4xy2+5yz3. The position of the point is (1, 0, -1).

Q: 33 cm QI OM = +73µC 30 cm +57 cm G 30 cm +36cm Q2 = -73µC

A: Given: Q1=73 μCQ2=-73 μC

Q: In the figure, a uniform thin bar of length L is placed along the x-axis. The linear charge density…

A: Given

Q: Suppose that over a certain region of space the electrical potential V is given by the following…

A:

Q: A ring of radius R = 1 m carries an electric charge Q = 2.0 nC. The electric potential is measured…

A: To determine: The distance measured from the center of the ring along the x-axis. Given: Radius of…

Q: Over a certain region of space, the electric potential is V = 5x – 3x2y + 2yz2, the z component of…

A:

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: total electric field E and the potential V at point P 5 (10,10,0)cm. Position vectors are given in…

A:

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

A:

Q: Given that the electric potential ( in units of volts) in a region in space is given as V(x) = 8.3x³…

A:

Q: A particle with a charge of q = 10.0 µC travels from the origin to the point (x, y) = (20.0 cm, 50.0…

A: Electric field, E→=240 i^ charge, q=10.0 μC=10×10-6 C Distance, E→=0.2i^+0.5j^

Q: Calculate the electrical potential at a point 12 cm from the center of a properly charged disc with…

A:

Q: A particle (m = 2.0 µg, q = -22 µC) has a speed of 30 m/s at point A and moves (with only electric…

A:

Q: A charged particle (q = - 53 mC), which moves in a region where the only force acting on the…

A: Given- Charge on particle (q) = -53 mC Kinetic energy of charged particle (K.E) = 20.8 J

Q: In a certain region of space, the electrical potential is given by the relation V(x,y,z) = Axy – Bx2…

A: The electric potential function is expressed as Vx,y,z=Axy-Bx2+Cy

Q: A solid conducting sphere of radius 3.0 cm has a charge of 30 nC distributed uniformly over its…

A:

Q: A particle with a charge of q = 10.0 µC travels from the origin to the point (x, y) = (20.0 cm, 50.0…

A:

Q: An electron moving parallel to the x axis has an initial speed of 3.70 × 10b m/s at the origin. Its…

A:

Q: An electron has an initial speed of 1.00x106 m/s. What potential difference (sign and magnitude) is…

A:

Q: 1. V E (a) Calculate is the change in PE when an electron moves through an electric field, E = 50…

A: PE change = q(E×d) PE change = -1.6 × 10-19 (50×6) PE change = -4.8 × 10-17 J (a) The mechanical…

Q: Calculate the electrical potential at a point 12 cm from the center of a properly charged disc with…

A:

Q: 9. If the result of your calculation of a quantity has SI units kg m2/(s2 C), that quantity could be…

A: Step1: Let us first write the S.I units of all the four options. 1. Electric field (E):…

Q: The work done brings a charge of q from infinity to a point P which is at a distance r from a point…

A: The work done brings a charge of q from infinity to a point P which is at a distance r from a point…

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

A: Ans:- Image-1

Q: In a certain region of space the electric field is uniform and given by E⃗ =(5.00×10^2 V/m)iˆ. If…

A: E = (5.00 x 102) i

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

A:

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: An electron moving parallel to the x axis has an initial speed of 5.18 x 106 m/s at the origin. Its…

A:

Q: In a particular region, the electric potential is given by V=−xy2z+4xy  What is the electric field…

A: Given data: electric potential (V)=−xy2z +4xy Need to determine the electric field in this region.

Q: A conducting cylinder of radius 3.25 cm and length 5.6 cm has a total charge of 5.5x10 -9C…

A:

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: Suppose that, as a function of x, y, and z, an electric field has the following components: Ex =…

A: AIM: To determine the electric potential difference at a given point GIVEN: The components of the…

Q: A charge Q = 2.00 10-8 C is surrounded by an equipotential surface with a surface area of 1.23 m2.…

A: Given information:  The magnitude of the charge (q) = 2.00 ×10-8 C The surface area of the…

Q: When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system…

A:

Q: a. the potential at points A and B b. the potential difference between A and B c. the potential…

A: Given, Charge, q=-15nC=-15×10-9C Point of a distance A=20.0cm=0.2m Point of distance B=40.0cm=0.4m

Q: Find the value of the electric potential at point P in the diagram below. а. 360 volts b. 285 volts…

A:

Q: In which of the following diagrams below is the magnitude of the electric POTENTIAL greatest at the…

A: Electric potential is given as:- V=KQ/R. Here, V = electric potential K= constant, Q= total charge.…

Q: When an uncharged conducting sphere of radius a is placed at the origin of an xyz coordinate system…

A:

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,…

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.