2/(2a) A spherically symmetric charge distribution has density p(r) = Q- 4Ta2r where a is a constant with units of length. (a) Show that the total charge is Q (b) Find the radial component of the electric field, as a function of r
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- An infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of −53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?A charge of uniform linear density 2.80 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 shell? Gaussian cylinder Shell Rod (a) (a) Number i Units (b) Number i Units (c) Number i UnitsA positively charged particle is held at the center of a spherical shell. The figure gives the magnitude E of the electric field versus radial distance r. The scale of the vertical axis is set by Es=8.5 x 107 N/C. Approximately, what is the net charge on the shell? Assume rs = 4 cm. E (107 N/C) Es 0 Y's 2r, r (cm) 3r, 4rs 5rs
- +X, to positive infinity. The line carries positive charge with a uniform linear charge density Ao. A continuous line of charge lies along the x axis, extending from x = (a) What is the magnitude of the electric field at the origin? (Use the following as necessary: 1o, xo, and ke.) 0. %3D (b) What is the direction of the electric field at the origin? O +X +y O -zThe electric field along the axis of a ring-shaped charge of total charge q distributed uniformly is given by E = where R is the radius of the ring and z is the distance from the center of the ring. The electric field at the center of the ring is zero and at great distances from the ring approaches zero. At a certain distance along the z-axis the electric field strength is maximum. What is the electric field strength at this point? 9 3√√√3лE R² 9 2√√3лER² 9 5√√3лε R² 9 6√√3лE R² qz 4лεo (z² + R²) ³/2 0 q 4√3лER²Show that for a charged circular ring of radius a and total charge Q, the electric field anywhere inside the plane of the ring would be zero if the electric field was inversely proportional to r not r2. Your answer is partly verbal and graphical.