area of cross-section 25 cm² is placed in a three dimensional co-ordinate system as shown in the figure. The electric field in the region is given by E = 50 x1, where E is in NC-1 and x is in metres. Find O Net flux through the cylinder. O Charge enclosed by the cylinder. Y b On Z A 3 →→X InB AB
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- A long cylindrical conductor of radius r= 5.0cm has a uniform charge density of ơ1 := 4.0 HC on it surface. This cylinder is surrounded by a concentric conducting cylinder of radius r2:= 8.0cm με and uniform charge density of 2:=-2.5 on its surfaceA cube of side L = 2.2 m lies in a region where the electric field is given by 3.G take → 3.6 - 3.6 in Positton of 3 x = 1.5 m. (d) What is the flux through the bottom face of the cube? N m2/c (e) What is the flux through the front face of the cube? N. m2/C (f) What is the flux through the back face of the cube? N.m2/c (g) What is the net flux through the cube? IN m2/cA long hollow thin-shelled insulating cylinder has a radius R and a uniform surface charge densityσ. At the center is an infinite line of charge with linear charge density λ. What is the electric field a distance rfrom the central axis? Give ansers for r < R and r> R
- In the space between two parallel planes separated by a distance 2d some charge is uniformly distributed with density po. Calculate the electric field in all space as a function of x 2dProblem 1 The figure below shows three concentric conducting thin spherical shells: • Sphere A of radius R₁ = 6 cm and a total charge QA = 2 nc. • Sphere-B of radius Rg = 21 cm and a total charge QB = -4 nC ⚫ Sphere-C of radius Rc 78 cm and a total charge Qc Qc is an unknown charge. Re RB RA B 1 What is the net electric flux o through the spherical surface of radius r = 13 cm from the center of the spheres? 2 spheres? E= 3. spheres? E= What is the magnitude of the electric field E at r = 59 cm from the center of the What is the magnitude of the electric field E at r=2 cm from the center of the 4. If the magnitude of the electric field is E 192 N/C at r = 93 cm from the center of the spheres, calculate Qc. Qe=Question 2 Qo 3Q 4Q Which of these configurations would have the greatest electric flux through the gaussian surface? A
- Which describes the flux of an electric field that is tangent to a section on a closed surface? O The flux is negative. O The flux is positive. O The flux is zero.A very long line of charge density A= 1.96 nC/m is placed at a distance b=4.36 cm next to an empty-of-charge cubic surface of side length a= 8.29 cm. Find the total flux on the cube (in N.m2/C). O 0.1836 O 1836 O 0.0 O 18.36 O 183.6Q.1. Given a uniform electric field É = 5 × 10³ î N/C. Find the flux of this field through a square of side 10 cm on a side whose plane is parallel to the y-z plane. What would be the flux through the same square if the plane makes a 30° angle with the x-axis ?
- Find the magnitude of the electric field for r>bA long cylindrical conductor of radius r:= 5.0cm has a uniform charge density of 0:= 4.0 on it surface. This cylinder is surrounded by a concentric conducting μα µC cylinder of radius rɔ:= 8.0cm and uniform charge density of 2:=-2.5. 2 m on its surface 5) Find the Efield at a distance 'r" in between the two conductors rį