Q: An infinite line charge of 2 µC/m is located on the z -axis. Electric field due to the line charge…
A: Perpendicular distance of the point form Z-axis; r=-22+-12=2.24 m Line charge density λ=2 μC/m…
Q: An infinite line charge has constant charge-per-unit-length λ. Surrounding the line charge is a…
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Q: Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol.…
A: The expression for Gauss's law, ∮E→.dA→=qenc/ε0 So, EA=qenc/ε0
Q: A rod with a uniformly distributed charge Q is bent into an arc such that it subtends an angle 20,…
A: Let electric field E at point P now consider a point charge at a distance r . We know , Electric…
Q: A sphere of radius R has a charge distribution given by rho(r)=A√r where A is a constant. What is…
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Q: What is the net electric flux through the torus (i.e., doughnut shape) of the figure? Assume that…
A: The net charge enclosed is q = –5.0 nC.
Q: A long line charge having uniform charge density lies along the straight line y = mx+c. Electric…
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Q: An electric field given by E:= 4.0iˆ + 3.0(y2 - 2.0)jpierces a Gaussian cube of edge length 2.0 mand…
A: a) The required electric flux through the top face is,
Q: A uniform volume charge density of 0.2 µC/m is present throughout the spherical shell extending from…
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Q: Po Fo/4 To A sphere of Radius r, carries a constant volume charge density p, as seen in the figure.…
A: We can use superimposition mathod to solve above We can superimpose a -vely charge small sphere on…
Q: Given the electric flux density D=pcos´oa,- Determine the total charge enclose by the cylinder whose…
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Q: Q.3 aL A point charye qis placed at a alis tomee a/2 olivectly above the centre of the square of…
A: a) The flux through a closed surface is given as, flux, ϕ=∮E.→ds→=Qenclosed∈0now , consider a cube…
Q: Consider a cube with edge length Limmersed in a uniform electric field E along the x-direction as…
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Q: An infinite cylinder of radius R has a charge density given by p(r) = ar³, where r is the…
A: Solution:Consider a small cylinder element having…
Q: A particle of charge q is moving in a circular path ofradius R with constant speed v(<<c).Magnitude…
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Q: A cylinder of radius R and length Lis placed in a uniform electric field Ē, parallel to it's axis,…
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Q: A cylindrical and long charge distribution has been described by the charge density function shown…
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Q: A circular disc ofradius a on thexry plane has a surface density, o = ogrcos 0 - . The electric…
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Q: The figure above shows a closed Gaussian surface in the shape of a cube of edge length d. It lies in…
A: The differential form of Gauss law can be given as, Here ρenc is the charge density and E is the…
Q: A 2.3 nC charge is uniformly distributed over a spherical shell r = 7 cm centered at the origin. The…
A: Given,
Q: A point charge q is placed at the centre.of a.cylinder.of.radius Rand length 2L. Electric flux…
A: Given: A charge q is located at the center of cylinder of radius R and length 2L. To find:The…
Q: Consider a point charge 3Q is located at the origin. Divergence of the electric flux density…
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Q: A charge is distributed over a spherical body of radius R so that the density of the volumetric…
A: The Gauss Theorem The net flux over a locked surface is directly proportional to the net charge in…
Q: AREOR ANEAYQU Let E,(r), E,(r) and E,(r.) be the respective electric fields at a distancer from a…
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Q: An infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with…
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Q: A particle with charge Q is located on the axis of a circle of radius R at a distance b from the…
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Q: The electric field due to a charge a isetien by ER CAVOU hevalue of the surface integral E.ds…
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Q: For an infinitely long wire with uniform line-charge density, 2, along the z-axis, the electric…
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Q: A Gaussian cube of length L has its bottom, left, rear corner at the origin of the coordinate system…
A: Given : electric field, E→=E1xLi^+E0j^ side of the cube, L Determine :- (4) flux through each face…
Q: A sphere of Radius rɔ carries a constant volume charge density po as seen in the figure. A spherical…
A: Given data: The radius of the sphere is r0. The volume charge density of the sphere is ρ0. The…
Q: A point charge q=7nC is located at the center of a uniform ring having linear charge density ) and…
A: A point charge q is located at the center of a uniform ring having linear charge density and radius…
Q: Consider the charge configuration and a spherical Gaussian surface as shown in the figure. When…
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Q: the flux leaving a sphere of 3m radius centered at the origin due to a uniform line charge of 7 nC/m…
A: Radius of sphere R = 3 m Line charge density λ = 7 nC/m Flux along Z-axis Φ = ?
Q: What is the net electric flux through the torus (i.e., doughnut shape) of the figure? Assume that…
A: The given values are,
Q: For a flux of D = ar, where Om < r < 7m, for the sphere. Find the following:find the following: a.…
A: Total charge can be calculated with the help of volume charge density Q =∫ρdv Volume charge density…
Q: What is the net electric flux through the torus (i.e., doughnut shape) ? Assume that Q=200nC and q=…
A: Gauss Law: It states that the total electric flux out of a closed surface is equal to the ratio of…
Q: What is the flux through the total surface of a cube of side length 20.0 cm centered on a point…
A: As per our guidelines, we only answer one question per session and maximum three subpart per…
Q: A point charge Q is located on the axis of a disk of radius R at a distance h from the plane of the…
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Q: Consider the closed Gaussian surface shown below. Calculate the total net electric flux through the…
A: The enclosed charge inside the Gaussian surface is:
Q: A ring has a total charge Q uniformly distributed around it. If its radius is a, what is the…
A: Given Data: Total charge over circumference →Q Radius of ring →a
Q: Find the electric field everywhere of an infinite uniform line charge with total charge Q. Sol.…
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Q: Consider an infinite line charge with a uniform line charge density of th of 9.587 m and a radius of…
A: Given data: Linear charge density λ=5.84×10-9C/m Length of the cylinder l=0.587m Radius of the…
Q: What happens to electric flux as the angle between the area vector and the surface increases?
A: Electric flux is given by, ϕ=E.A=EAcosθ As angle between area vector and surface increases, θ…
Q: Consider a point charge 3Q is located at the origin. Divergence of the electric flux density…
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Q: A region contains a volume charge densityp=ar' , Ifelectric flux through a sphere ofradius R centred…
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An electric dipole consists of chares q at (0, -a, 0) and -q at (0, a, 0). What is the torque (vector) if it sits in an electric field of Ex̂?
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- What is the magnitude of the electric field just above the middle of a large, flat, horizontal sheet carrying a charge density of 98.0 nC/m2?A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center of the sphere.A point charge q=5.01012 C is placed at the center of a spherical conducting shell of inner radius 3.5 cm and outer radius 4.0 cm. The electric field just above the surface of the conductor is directed radially outward and has magnitude 8.0 N/C. (a) What is the charge density on the inner surface of the shell? (b) What is the charge density on the outer surface of the shell? (c) What is the net charge on the conductor?
- Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (inº) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q ||▬▬R—-| Number i P (a) ! +Q{{0/2 VR 8/24 (b) Units O (degreePositive Charge Q for x<0 and negative charge -2Q for x>0 is uniformaly distributed around a semi-circle of raduis R as shown in the figure. Find the x-component of the the electric field at the center of curvature.
- In Figure (a) below, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Figure (b), that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 8. The charge on the arc produces an electric field of magnitude Earc at its center of curvature P. For what value of 0 (in º) does Earc = 0.75Epart? (Hint: You will probably resort to a graphical solution.) +Q |▬▬▬R—-|| Number i P (a) AR +Q}/0/2/ (b) Units ° (degree:A uniformiy-chaiged wire of total charge Q, and total length L=5.1 m is placed as shown in the figure, where the left end is at a distance a=0.1 m fom the origin. Another point charge Q is placed at the right end of the wire. If E1 and E2 are the magnitudes of the electric field at the origin by the wire and by the charge, respectively, then find the ratio E1/E2- Q X-axismreg identical point charges of (ID3+ 1) C each are located at the corners of a triangle of side length a=Đ8+2), with one charge at the origin, and two nearest at (a,0,0), (a/2,aV3/2,0). Find the total electric field the point P(a, a. a) and the total vector force on the charge of Q =-(IDS +1) C, assuming free space. Q--C+こ -7C
- As shown in Figure, a particle of charge +Q produces an electric field of magnitude Epart at point P, atdistance R from the particle. As in figure b, that same amount of charge is spread uniformly along a circulararc that has radius R and subtends an angle ?. The charge on the arc produces an electric field of magnitudeEarc at its center of curvature P. For what value of ? does Earc = 0.50 Epart ?A non-uniform thin rod is bent into an arc of radius R. The linear charge density λ of the roddepends on θ and is given byλ =λ0/cos θwhere λ0 is a positive constant. The arc extends from θ =π/4 to θ =3π/4as shown a)Sketch the direction of the resultant electric field at the origin.b) Calculate the magnitude of the electric field E->.A proton and electron separated by 2× 10^-10 m form an electric dipole, look figure. Useexact formula to calculate the electric field on t he X-axis at a distance 20 × 10^-10 m to the rightof the dipole’s center?
