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- If a solid insulating sphere of radius 50 cm carries a total charge of 150 µC uniformly distributedthroughout its volume, what is its a) volume charge density? What is the magnitude of the electricfield at b) 10 cm and c) 65 cm from the center of the sphere.Charge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric field magnitude E is measured along the ring’s central axis (perpendicular to the plane of the ring). At what distance from the ring’s center is E maximum?the flux leaving a sphere of 3m radius centered at the origin due to a uniform line charge of 7 nC/m along the Z axis is given by
- A positive charge q = 7.81 μC is spread uniformly along a thin nonconducting rod of lengthL = 15.4 cm. What are the (a) magnitude and (b) direction (relative to the positive directionof the x axis) of the electric field produced at point P, at distance R = 6.00 cm from the rod along itsperpendicular bisector?What is the electric field at any point outside the shell of radius R where a positive charge Q is placed on it? (Take r to be the radius of the Gaussian sphere)A conducting sphere of radius 0.01 m has a charge of 1 nC deposited in it. The magnitude of the electric field in N/C just inside the surface of the sphere is:
- Figure 2 shows a nonconducting rod with a uniformly distributed charge Q. The rod forms a half-circle with radius R and produces an electric field of magnitude Earc at its center of curvature P. If the arc is collapsed to a point at distance R from P, by what factor is the magnitude of the electric field at P multiplied?If there is a a non-uniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows: ρ(r)=ρ0(1−4r/3R)f or r≤R ρ(r)=0 for r≥R where ρ0 is a positive constant. What is the expression for the electric field in the region r <= R?An electric field given by E:= 4.0iˆ + 3.0(y2 - 2.0)jpierces a Gaussian cube of edge length 2.0 mand positioned .(The magnitude E is in newtons percoulomb and the position x is in meters.)What is the electric flux throughthe (a) top face, (b) bottom face, (c) leftface, and (d) back face? (e) What is thenet electric flux through the cube?
- In the YZ plane as shown in the figure, a ring with a properly charged R radius has a total Q load and λ load density. On the ring axis, find the electric field at point P at a distance h = 2R from the ring center.A uniform charge density of 500 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere.What is the electric flux through this cubical surface if its edge length is (a) 4.00 cm and (b) 14.0 cm?As shown in Figure, a particle of charge +Q produces an electric field of magnitude Epart at point P, atdistance R from the particle. As in figure b, that same amount of charge is spread uniformly along a circulararc that has radius R and subtends an angle ?. The charge on the arc produces an electric field of magnitudeEarc at its center of curvature P. For what value of ? does Earc = 0.50 Epart ?