The figure below shows a section of a very thin, very long, straight rod with a uniform charge per unit length of λ. Point O is a perpendicular distance d from the rod. A spherical gaussian surface is centered at point O and has a radius R. (Use any variable or symbol stated above along with the following as necessary: ε0.)
(a)
What is the electric flux through the spherical surface if R < d?
ΦE =
(b)
What is the electric flux through the spherical surface if R > d?
ΦE =
The figure below shows a section of a very thin, very long, straight rod with a...
stete the answer clearly please A very long, very thin straight line has a uniform charge per unit length of 2, where >. It is surrounded by a long, cylindrical, Insulating vinyl shell, which has an inner radius a and outer radius b. The line lies along the central axis of the cylindrical shell. The cylindrical shell has a uniform volume charge density p, where p > 0. (Both the line and the shell are long enough to approximate them...
1. a. A very thin, straight, uniform rod has a length of 3.00 m and a total mass of 700 kg. Treating the rod as essentially a line segment of mass (distributed uniformly), do the following: (i) Use integration to prove that the rod's center of mass is located at its center point. ii) Now use integration to calculatethe moment of inertia of the rod about an axis through that center of (ii) Now use two different methods-first by direct...
A total charge q is distributed uniformly along a thin, straight rod of length L see below Assume q is positive. For the magnitudes, use any variable or symbol stated above along with the following as necessary: a and ε0.) What is the electric field at P1? What is the electric field at P2?
A very thin, straight, uniform rod has a length of 3.00 m and a total mass of 7.00 kg. Treating the rod as essentially a line segment of mass (distributed uniformly), do the following: (i) Use integration to prove that the rod's center of mass is located at its center point. (Reminders: dmnds mass (and that axis is perpendicular to the rod). with the previous result-to calculate lemr the moment of inertia of the rod about an axis through one...
A thin insulating rod is bent into a semicircular arc of radius a, and a total electric charge Q is distributed uniformly along the rod. Calculate the potential at the center of curvature of the arc if the potential is assumed to be zero at infinity. (Use any variable or symbol stated above along with the following as necessary: ε0.)
An infinitely long line charge having a uniform charge per unit length, λ lies a distance d from point O as shown in figure below. Determine the total electric flux through the surface of a sphere of radius R centered at O resulting from this line charge. Consider both cases, where (a) R<d and (b) R>d. You can consider the rod to have no thickness. 0 Ad со 0 E0 C0 0
Question 8 (1 point) An infinitely long line charge having a uniform charge per unit length, λ lies a distance d from point O as shown in figure below. Determine the total electric flux through the surface of a sphere of radius R centered at O resulting from this line charge. Consider both cases, where (a) R<d and (b) R>d. You can consider the rod to have no thickness. Ad 0 0 E0 Ad 0 0 έρ
A charge of uniform linear density 2.40 nC/m is distributed along a long, thin, nonconducting rod. The rod is coaxial with a long conducting cylindrical shell (inner radius 5.80 cm, outer radius = 9.20 cm), The net charge on the shell is zero. (a) What is the magnitude of the electric field at distance r = 15.0 cm from the axis of the shell? What is the surface charge density on the (b) inner and (c) outer surface of the...
Incorrect Question 8 0/1 pts The figure shows a thin, straight rod of length L which carries a charge which has a uniform, linear charge density of λ; the rod lies on the x-axis between x = 0 and x = L. Which of the expressions below gives the magnitude of the x-component of the electric field at point P located at coordinate (-A·Y)? -o(x+が+72)1.2 kxd
Question 2 The figure provided shows a section of a very long rod of radius a = 2.38 mm and linear charge density 339 nC/m. The rod is inside a coaxial cylindrical shell of radius b= 10.7 mm and linear charge density-7.94 nCm. What is the magnitude and direction of the electric field at a radial distance of 6.18 mm? Magnitude: Direction: O Outward Inward What is the magnitude and direction of the electric field at a radial distance of...