1) A statie charge distribution produces a radial electrie field given by Where A and b...
A cylindrically symmetric charge distribution has a volume charge density that depends on the radial position, r, as follows: rho(r) = rho0(1-r/a) where rho0 is the charge density at the central axis and "a" is just a size constant. What is the electric field at r = 2a? (For direction, “+” means radially outward and “-” means radially inward.)
A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows: ρ(r)=ρ0(1−r/R) for r≤R ρ(r)=0 for r≥R where ρ0=3Q/πR3 is a positive constant. Part A Find the total charge contained in the charge distribution. Express your answer in terms of some or all of the variables r, R, Q, and appropriate constants. Part B Obtain an expression for the electric field in the region r≥R. Express your answer in terms of some or all of...
A particular charge distribution produces an electric field along the x-axis of the form, a/x2, where a is a positive constant. Find the expression for potential difference, on the x-axis, between x = A and x = B. That is, find V (B) – V (A). What charge distribution produced this?
1. What is the magnitude of a point charge if the electric field it produces at a distance of 50 cm is 1.0 N/m? 2. Two point charges, one of +2.0 x 10" C and the other of +8.0 x 10-8 C, are separated by a distance of 10 cm. (a) What electric field does each produce at the position of the other? (b) What forces acts on each charge? 3. A charge Q is divided into two parts, q...
lectric charge is given by the formula q (x, y, z)" yM729 C/rn. Calculate total electrie charge O of a wire which shape is described parametrically in 3D space as: -cost,y -3sint, 3 tanf, where 0 s t s /2 and length is in meters. Present you answer in the dimensional form up to four significant four significant figures lectric charge is given by the formula q (x, y, z)" yM729 C/rn. Calculate total electrie charge O of a wire...
A spherically symmetric charge distribution produces the electric field E⃗ =( 4600 r2)r^N/C, where r is in m. What is the electric field strength at r = 15.0 cm ? What is the electric flux through a 30.0-cm-diameter spherical surface that is concentric with the charge distribution? How much charge is inside this 30.0-cm-diameter spherical surface?
4. A spherically sym metric charge distribution has the following radial dependence for the volume charge density ρ 0 if r > R where γ is a constant a) What units must the constant y have? b) Find the total charge contained in the sphere of radius R centered at the origin. c) Use the integral form of Gauss's law to determine the electric field in the region r < R. (Hint: if the charge distribution is spherically symmetric, what...
A spherically symmetric charge distribution produces the electric field E⃗ =(250/r)r^N/C, where r is in m. What is the electric field strength at r = 20.0 cm? What is the electric flux through a 15.0-cm-diameter spherical surface that is concentric with the charge distribution?
4 A spherically symmetric charge distribution has the following radial dependence for the volume charge density ρ: 0 if r R where γ is a constant a) What units must the constant γ have? b) Find the total charge contained in the sphere of radius R centered at the origin c) Use the integral form of Gauss's law to determine the electric field in the region r R. (Hint: if the charge distribution is spherically symmetric, what can you say...
A solid nonconducting sphere of radius R = 6.2 cm has a nonuniform charge distribution of volume charge density ρ = (17.0 pC/m3)r/R, where r is radial distance from the sphere's center. (a) What is the sphere's total charge? What is the magnitude E of the electric field at (b) r = 0, (c) r = R/3.0, and (d) r = R?