2) A line of charge with a linear charge density extends from -xo to xo alongthe x axis. What is the electric field at a point P located on the y axis adistance y above the x axis? HINT: You'll need the following:ахX√₁₁ ²4/X₁²) ²/₂ = ²(x²+²²)2213/22(1² +a ² ( x ³² + 9₁ ²³ ) / ₂2a(from #19 on the integral table in Appendix E of your text)TA

Answered: 2) A line of charge with a linear…

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 71P

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A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
A solid conducting sphere of radius 2.00 cm has a charge 8.00 μC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge −4.00 μC. Find the electric field at (a) r = 1.00 cm, (b) r = 3.00 cm, (c) r = 4.50 cm, and (d) r = 7.00 cm from the center of this charge configuration.
A solid insulating sphere of radius R has a nonuniform charge density that varies with r according to the expression = Ar2, where A is a constant and r R is measured from the center of the sphere. (a) Show that the magnitude of the electric field outside (r R) the sphere is E = AR5/50r2. (b) Show that the magnitude of the electric field inside (r R) the sphere is E = Ar3/50. Note: The volume element dV for a spherical shell of radius r and thickness dr is equal to 4r2dr.
A charge of 29 pC is distributed uniformly on a spherical surface ( r1=2 cm), and a second charge of -13.8 pC is distributed uniformly on a concentric thin spherical surface ( r2= 4 cm). Determine the magnitude of the electric field ( in units of N/C ) at a distance of 5 cm from the center of the two surfaces.
An aluminum spherical ball of radius 3.5 cm has a charge of 4.5 μC. A copper spherical shell, concentric with the aluminum ball, has an inner radius of 6.25 cm, an outer radius of 8.5 cm, and a total charge of −8.5μC. Because the only non-zero component of the electric field is radially directed, the electric field may be expressed as vecE=Er^ a) What is the radial component of the electric field, in newtons per coulomb, at a distance of 1.5 cm from the center of the aluminum spherical ball?
A solid conducting sphere, which has a charge Q1 =52Q and radius ra = 2.6R is placed inside a very thinspherical shell of radius rb = 6.9R and charge Q2 =-17Q as shown in the figure below. Find the magnitude of the electric field at r=4.4. Express your answer using one decimal point in units of kQ/R2 where k=1/4πε0
A cylindrical shell of radius 7.00 cm and length 2.35 m has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 16.3 cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. (a) Find the net charge on the shell. (b) Find the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.
Two large rectangular sheets of charge of side L are separated by a distance d (d << L) have a surface charge density of 4.3 μC/m2. Take +x to be to the right.σ = 4.3 μC/m2 a)Enter the value of the electric field, in newtons per coulomb, at point A. Assume point A is 0.1 d from the surface of the left sheet. b) Enter the value of the electric field, in newtons per coulomb, at point B. Assume point B is 0.25 d from the surface of the left sheet. c)Enter the value of the electric field, in newtons per coulomb, at point D. Assume point D is 0.1 d from the surface of the right sheet.
A spherical volume of space has an electric field of intensity 130 N/C directed radially outward from it surface of radius 0.4 m. What is the net charge enclosed within this surface? (εo = 8.85 × 10−12 F/m)
A very long straight wire has a charge per unit length lambda . if the electric field at a distance of 5.00 cm from the wire is 2.50 N/C and it is directed radially inward, what is lambda ? Answer in scientific notation
Two very large parallel sheets are 5.00 cm apart. Sheet A carries a uniform surface charge density of -7.30 μC/m2 , and sheet B, which is to the right of A, carries a uniform charge density of -11.6 μC/m2 . Assume that the sheets are large enough to be treated as infinite. Find the magnitude and direction of the net electric field these sheets produce at a point 4.00 cm to the left and right of sheet A and 4.00 cm to the right of sheet B.
An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity σ1 = 0.41 μC/m2. Another infinite sheet of charge with uniform charge density σ2 = -0.11 μC/m2 is located at x = c = 32 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14 cm and x = 18 cm). 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7 cm, 0)? N/C 2) What is σa, the charge density on the surface of the conducting slab at x = 14 cm? μC/m2 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7 cm, -18 cm)? V 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25 cm, -18 cm)? V 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (39 cm, -18 cm)? N/C

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