Solve the work done to move a 7-nC charge radially away from the center from a distance of 8 m to a distance of 14 m against the electric field inside a non-conducting spherical shell of inner radius 1 m, outer radius 17 m, and total charge 8 mC
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Solve the work done to move a 7-nC charge radially away from the center from a distance of 8 m to a distance of 14 m against the electric field inside a non-
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- Find the electric field at the origin of the x,y-plane for charge distributions (a) and (b), see the figures shown below. The field is produced (a) by a thin half-circle with a radius of 12.5 cm and the linear charge density K = 18.5 pC/cm and (b) by a thin quarter-circle with the same radius and the linear charge density K = -18.5 pC/cm. K>0 y 0 (a) For the charge distribution (a): The x-component of Ea, Ea,x The y-component of Ea, Ea,y ² For the charge distribution (b): The x-component of Eb, Eb.x = = The y-component of Eb, Eb,y = K<0 Units Select an answer ✓ Units Select an answer ✓ Units Select an answer Units Select an answer 0 (b)Find the electric field at the origin of the x,y-plane for charge distributions (a) and (b), see the figures shown below. The field is produced (a) by a thin half-circle with a radius of 15 cm and the linear charge density K-10 pc/cm and (b) by a thin quarter-circle with the same radius and the linear charge density K = -10 pc/cm. K>0 (a) For the charge distribution (a): The x-component of Ea. Ea,x= The y-component of Ea, Ea,y= For the charge distribution (b): The x-component of Eb, Eb,x- The y-component of Eb, Eb,y = Units N/C Units N/C Units N/C Units N/C K<0 (b)A line of charge of length L=12m with charge density λ=48.0μC/m lies along the positive Y-axis whose one end is at the origin O. A point charge q=49.0μC lies on the X-axis at (44,0,0) and point P lies on the Z-axis at 13m from the origin. Here the coordinates are given in meters. Find the electric field at P due to the line of charge only. (Hint: You may have to do an integration.) i) x component of electric field ii) y component of electric field iii) z component of electric field
- An infinitely long nonconducting cylinder of radius R = 2.00 cm carries a uniform volume charge density of 18.0 micro-Coulomb/cubic meter. Calculate the electric field at distance r = 1.00 cm from the axis of the cylinder.ER For the configuration shown in the figure below, suppose a = 5.00 cm, b = 20.0 cm, and c = 25.0 cm. Furthermore, suppose the electric field at a point 18.0 cm %3D from the center is measured to be 3.95 x 10 N/C radially inward and the electric field at a point 50.0 cm from the center is of magnitude 199 N/C and points radially outward. From this information, find the following. (Include the sign of the charge in your answer.) Insulator Conductor (a) the charge on the insulating sphere C (b) the net charge on the hollow conducting sphere (c) the charge on the outer surface of the hollow conducting sphere CA very long line charge having a charge density A is surrounded by a conducting cylindrical shell with inner radius r, = 4.87 cm and outer radius r = 7cm as shown in the figure. System is in electrostatic equilibrium condition. What would be the electric difference AV = V(r=0.55 cm) - V(r= 6.4 cm) ? Provide your answer in terms of Ak with 2 significant figures. potential 6 P Answer:
- Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge q is located on the positive x-axis at x=a+r, a distance r to the right of the end of Q. Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, r, and and appropriate constants. Calculate the magnitude of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, a, r, and appropriate constants. Calculate the direction of the force that the charge distribution Q exerts on q.Positive charge Q is distributed uniformly along the x-axis from x=0 to x=a. A positive point charge q is located on the positive x-axis at x=a+r, a distance r to the right of the end of Q. Calculate the x-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, r, and and appropriate constants. Calculate the y-component of the electric field produced by the charge distribution Q at points on the positive x-axis where x>a. Express your answer in terms of the variables Q, a, x, and appropriate constants. Calculate the magnitude of the force that the charge distribution Q exerts on q. Express your answer in terms of the variables Q, q, a, r, and appropriate constants. Calculate the direction of the force that the charge distribution Q exerts on q.A 2.00 μC point charge is located in the center of a spherical cavity of radius 6.50 cm within a charged insulating solid. The charge density of the solid is 735 μC / m3. Calculate the electric field within the solid at a distance of 9.50 cm from the center of the cavity. one of these answers a-)205145.23 V/m b-)- 3778257.23 V/m c-)- 205145.23 V/m d-)3778257.23 V/m
- Two spherical charges with radius R = 1m and radius R = 1.5m in free space appear as. The volumetric charge densities in both spheres are the same and ρv1 = ρv2 = 3μC / m ^ 3. The distance between the two spheres from outside to outside is d = 0.5m. Find the magnitude and direction of the electric field at point P on the circle of radius R = 1m from the center of the large sphere.A line of charge is surrounded by another charged cylindrical shell. The line and the shell are concentric. Charge density of the line is 1 = -6 µC/m. Cylindrical shell is made up of a conducting material with inner radius 7 cm and outer radius 10 cm, and cylinder height 25 cm. The charge on the shell is Q = 4 µC. 11. a) Find the electric field at points 3 cm away from the line. b) Show the charge distribution of the cylinder and find the electric field at a point inside the shell. c) Find the electric field at a point 12 cm from the center. 25cm Answers: a) E = 3.6 x106 N/C (radially inward); b) E=0 ; d) E= 1.5 x 106 N/C (radially outward) -1.5 μC +1.5 µC 42.5 μCA disk of radius R = 6.51 cm is centered at the origin and lies in the y-z plane. The disk has a surface charge density o = 3.52 x 10- C/m². Evaluate the electric field E(x) produced by this disk along the x-axis at point P = (1.37 cm, 0.00 cm). The Coulomb force constant k = 1/(4re0) = 8.99 × 10° N-m²/C². %3D %3D %3D %3D E(P) = %3D N/C