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GO In Fig. 22-56, a “semi-infinite” nonconducting rod (that it, infinite in one direction only) has uniform linear charge density λ. Show that the electric field
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- Given that D = 10 x 3 3 a x(μC/m2), determine the total charge (in microcoulombs) enclosed in a cube of 2 m on an edge, centered at the origin and with edges parallel to the axes.arrow_forward(a) Figure (a) shows a nonconducting rod of length L = 5.80 cm and uniform linear charge density λ = +4.87 pC/m. Take V = 0 at infinity. What is Vat point P at distance d= 7.50 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 4.87 pC/m. With V=0 at infinity, what is Vat P? L/2 (a) -L/2 L/21/2- (b)arrow_forwardA solid insulating sphere of radius 20 cm carries a net positive charge Q=10 uC uniformly distributed throughout its volume. A conducting spherical shell of inner radius b=40 cm and outer c=50 cm is concentric with the solid sphere and carries a net charge -20 uC. Assume that the system is in electrostatic equilibrium. Find the charge density in uC/m² on the outer surface of thw conducting shell.arrow_forward
- Part A Uniform plane of charge. Charge is distributed uniformly over a large square plane of side l, as shown in the figure(Figure 1). The charge per unit Determine the electric field at a point Pa distance z above the center of the plane, in the limit l → 0. [Hint. Divide the plane into long narrow strips of width dy, and use the result of Example 21-11 in the textbook; then sum the fields due to each strip to get the total field at P] • (C/m²)is area is o. Express your answer in terms of the variables o, z, and appropriate constants. Figure < 1 of 1 ν ΑΣφ dE dE E = dE, P dy Submit Previous Answers Request Answer X Incorrect; Try Again; 3 attempts remainingarrow_forward(a) Figure (a) shows a nonconducting rod of length L-5.20 cm and uniform linear charge density A= +5.99 pC/m. Take V = 0 at infinity. What is Vat point P at distance d = 8.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 5.99 pC/m. With V 0 at infinity, what is Vat P? L/2 L/2 –L/2 L/2- (a) (b) (a) Number Units V (b) Number Units Varrow_forwardA very thin filament of uniform linear charge density "A" is located on the x-axis from x=0 to x=a. Prove that the components of the electric field at a point P on the y-axis, located at the distance "y" from the origin are:Ex = -k^(1/y-1/√/y² + a²) i, Ey = kha/y√/y² + a²)]arrow_forward
- A square surface of area 2 cm2 is in a space of uniform electric field of magnitude 103 N/C . The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Find theelectric flux through the square, when the normal to it makes the following angles with electric field: (a) 30° , (b) 90° , and (c) 0° . Note that these angles can also be given as 180° + θ .arrow_forward(a) A conducting sphere has charge Q and radius R. If theelectric field of the sphere at a distance r = 2R from the center of thesphere is 1400 N/C, what is the electric field of the sphere at r = 4R?(b) A very long conducting cylinder of radius R has charge per unitlength l. Let r be the perpendicular distance from the axis of the cylinder.If the electric field of the cylinder at r = 2R is 1400 N/C, whatis the electric field at r = 4R? (c) A very large uniform sheet of chargehas surface charge density s. If the electric field of the sheet has a valueof 1400 N>C at a perpendicular distance d from the sheet, what is theelectric field of the sheet at a distance of 2d from the sheet?arrow_forwardA positively charged disk has a uniform charge per unit area σ as described (given). Sketch the electric field lines in a plane perpendicular to the plane of the disk passing through its center.arrow_forward
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