A particle with charge q is located inside a cubical gaussian surface. No other charges are nearby , (I0 If the particle is at the center of the cube, what is the flux through each one of the faces of the cube? (a) 0 (b) q/ 2 ε0 (c) q/ 6ε0 (d) q/ 8ε0 (e) depends on the size of the cube (II) If the particle can be moved to any point within the cube , what maximum value can the flux through one face approach? Choose from the same possibilities as in part (i).

Q: If ø = where Q is the charge and r is the distance of the point from Q, then V²ø is 4n E,r (a) zero…

A: As given, The potential, ϕ=Q4πε0r Here, Q is the charge, r is the distance of the point from the…

Q: A charge q1= 6.7 nC is located at the origin, and a second charge q2 -5 nC is located 0.3 meters…

A:

Q: A spherical metal shell A of 37 MSQ radius RA and a solid metal sphere B of radius Rp (QB (c) OA/OB…

A: By the gauss law, draw an imaginary surface inside the shell. The flux outside the imaginary sphere…

Q: Consider you have four point charges as shown in the figure. How you could place a surface that…

A:

Q: Five charged particles, each having a charge q, are placed at the five vertices of a regular…

A: Five charges are placed at 5 sides of the hexagon.Electric field at the center will be the vector…

Q: Part (a) By symmetry the electric field at point P has no component in the and z directions ✓…

A: To find the electric field at a distance y0 above the midpoint of the line segment, we can use the…

Q: A point charge in placed at the origin in a dielectric material with εr1 =6 and results in flux…

A:

Q: Two point charged objects A (with charge qA = +4µC) and B (with charge qB = +7µC) are separated by a…

A: Two point charged objects A (with charge qA = +4µC) and B (with charge qB = +7µC) are separated by a…

Q: ++++ +++ ++++ ++ L. ++++ ++++++++ 年++ ++++ ++++++ ++ +++ 士 The cylindrical shell of length L Its its…

A: Given L=1m, R=3m σ=2x

Q: Two small nonconducting spheres have a total charge of 90.0 μC. (a) When placed 1.06 m apart, the…

A: Given: Total charge is 90 μC Distance is 1.06 m Force is 12 N

Q: Two positive point charges are placed on the -axis, one at x=a and one at x=-a. Derive an expression…

A:

Q: ) A point charge q = 2 × 10^−3 C is placed at the center of a cube with length a = 25 cm. What is…

A: Here A point charge = q = 2 × 10-3 CSide length of a cube = a = 25 cma. This charge placed at center…

Q: Uniform line charge density of 5 nC/m is at y=0, z=2m in free-space while -5 nC/m is located at y=0,…

A: Given: The line charge density of 5 nCm is at y=0,z=2 m. The line charge density of -5 nCm is at…

Q: Two identical conducting spheres labeled A and B have net charges q1 = 4 q. (>0) and q2 = -6 9o,…

A: The third conducting sphere kept in contact with the first sphere, the charge in third conductor is

Q: A uniformly charged thin spherical shell ofradius R carries surface charge density of o per unit…

A: Solution: The equation for electric field is given as: E=σε0where, σ is the surface charge density…

Q: We have a very thin infinite sheet of uniform surface charge density "o". Evaluate the force on the…

A: Given surface charge density σ = 80 pC/m2 = 8×10-11 C/m2 permittivity in free εo = 8.85×10-12 C2/Nm2

Q: (i) Ein constant & E out (ii) Ein = 0 & Eout = (iii) Ein = 0 & Eout ၆% R² 1 σ Απερ 1₁² 1 q 4780 (iv)…

A: A spherical shell of radius, R having surface charge density, σ

Q: Problem 14:   A group of four charges and four Gaussian surfaces are displayed in the figure. The…

A: Note :- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: A positively charged ring of radius a is in a plane perpendicular to the x-axis and its center is at…

A:

Q: 2) A line of charge with a linear charge density λ extends from -xo to Xxo along the x axis. What is…

A: Visualize the problem:

Q: 9. Two conducting thin concentric shells, charged with uniform surface densities to and -o…

A:

Q: 1. Two objects 01 and O2 have charges +1.0μ and -2.0μC, respectively, and third object 03, is…

A:

Q: An electric dipole is oriented in the uniform electric field with magnitude 200 N/C as shown. What…

A: The torque exerted on a dipole due to an external electric field is:

Q: A friend is working on a biology experiment and needs to create an electric field of magnitude 430…

A: The following values are given in the problem: The magnitude of the electric field: 430 N/C The…

Q: Find the magnitude of the electric field at the center of a regular tetrahedron, three faces of the…

A: Given Three faces of regular tetrahedron are uniformly charged with surface charge density σ1…

Q: Under what conditions does the fact that zero total charge is enclosed by a Gaussian surface imply…

A: The electric flux expression through the Gaussian surface is given as: The electric flux expression…

Q: Two charged spheres of radi R, and R2 having equal surface charge density. The ratio of their…

A: The expression for the surface charge density is written as, Here, Q and A represent the total…

Q: The figure below is a point charge surrounded by 2 conducting spherical shells (Shell I, shell 2).…

A:

Q: A positive point charge +4.0nC lies at the origin and a spherical conducting shell surrounds the…

A: we know that the total charge on the sphere is zero.

Q: (6%) Problem 1: A positive charge Q1 = 32 nC is located at the origin. A negative charge Q₂ = -9.5…

A:

Q: Note: 1 fC = 1 x 1015 C 2. In the figure a nonconducting rod of length L = 8.21 cm has charge -q =…

A: Given:  Length of rod L=8.21 cm             Charge on the rod q=-4.33 fC             Distance a=…

Q: Point electric charges of Q=4 pC each are located at the ends of the diameter of length D=12 cm,…

A: Q=4 pC=4×10-12 CD=12 cm=0.12 mh=8 cm=0.08 m

Q: A point charge q = 5 μC is placed a vertical distance d = 1 m above the centre of a solid hemisphere…

A: An electric charge that is supposed to exist only in one place and so has no size or capacity. The…

Q: flux through a sphere

A:

Q: Note: 1 fC = 1 x 1015 C 2. In the figure a nonconducting rod of length L = 8.21 cm has charge -q =…

A:

Q: The figure shows two electrons separated by a distant d.  Point P is a distance d/3 from the…

A: Given The distance between two electron is d = 3 nm = 3 x 10-9 m. The distance between left electron…

Q: Suppose a circular ring of radius 5 m and total charge 10 C lays in the x-y plane with its center at…

A: Linear charge density of the circular ring (λ)=λ0cos2θ Radius of the circular ring (R)=5 m Total…

Q: Shown in the figure below is a point charge surrounded by two conducting spherical shells (Shell 1…

A: Step 1: Step 2:

Q: (a) Three point charges are located on the circumference of a circle of radius r, at the angles…

A:

Q: If the charge inside a Gaussian surface is approximately 5.43x10^-6, and the flux is inward, how…

A:

Q: 2) тог a) Find Ex and Ey at pourt where the rod has CA total charge Q. Assous a uniform charge…

A:

Q: A small sphere is electrically neutral before 2.4 x 1011 electrons are added to it. At a distance of…

A: Number of electrons added  charge on each electron To find the magnitude of the electric field at a…

Q: A solid insulating sphere of radius a carries a net positive charge Q. A conducting spherical shell…

A: Charge on insulating sphere= Q Charge on shell is -6Q

Q: Point charges q, = 45 nC, q2 = -35 nC, q3 = 25 nC, and q4 = -15 nC are arranged in Figure. (a) Find…

A: Point charges q = 45 nC, q2 = -35 nC, q3 = 25 nC, and 94 =-15 nC are arranged in Figure. (a) Find…

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.