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Question 4 Find the form factor for a charge distribution p(r) = po exp(-r/a)/r, where p...
4. Find the electric field originating from the following charge distribution when you are located far...
4. Find the electric field originating from the following charge distribution when you are located far away from r=0. p(1,0,%) = Po sin 30 sin & exp ) Make note of any approximations you may employ and state where your approximation would be valid
2) For a spherical charge distribution in the air: po (02 – r2), when r <a...
2) For a spherical charge distribution in the air: po (02 – r2), when r <a p. when r>a lo, (a) Find E and for r>a (b) Find E and for r<a (c) Find the total charge (d) Show that E is maximum when r=0.7454a
A solid sphere of radius R has a nonuniform charge distribution p=Ar², where A is a...
A solid sphere of radius R has a nonuniform charge distribution p=Ar², where A is a constant. Determine the total charge, Q, within the volume of the sphere. Please explain and show work Thank you
A nonuniform, but spherically symmetric, distribution of charge has a charge density ρ(r) given as follows:...
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...
Given: a spherically symmetrical variable charge distribution p(r) = cr for r < (or equal to)...
Given: a spherically symmetrical variable charge distribution p(r) = cr for r < (or equal to) b and p = 0 elsewhere, and where c is a constant (units C/m^4), and r is the radial distance from the center of the distribution. Use Gauss’s Law to obtain a mathematical expression for the electric field (a) for r < b; (b) r > b; and (c) show that the two expression give the same value for the electric field at the...
(7) Find the distribution of the so-called "extreme value" density function f(x) = exp(-r-e-r) for x R. (7) Find the distribution of the so-called "extreme value" density functio...
(7) Find the distribution of the so-called "extreme value" density function f(x) = exp(-r-e-r) for x R.
(7) Find the distribution of the so-called "extreme value" density function f(x) = exp(-r-e-r) for x R.
solve it with details. 1) A sphere of radius R carries a volume charge distribution plr...
solve it with details.
1) A sphere of radius R carries a volume charge distribution plr where po is a positive constant. a. Find the electric field, both magnitude and direction, for r < R, and r > R. b. Find the potential for r <R, and r > R. (Take V +0 when r700) plrl=poll
An infinitely long insulating cylinder of radius R has a volume charge density that varies with...
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
Problem 3: In a certain region, a charge distribution exists that is spherically symmetric but nonuniform....
Problem 3: In a certain region, a charge distribution exists that is spherically symmetric but nonuniform. That is, the volume charge density p(r) depends on the distancer from the center of the distribution but not on the spherical polar angles and . The electric potential V(r) due to this charge distribution is V(r) = Pop (1-3(E)? +2(3) forrsa; and V(r) = 0 for r > a, where po is a constant having units of C/m' and a is a constant...
3. The Rayleigh distribution is a continuous distribution with pdf of the form Så exp(-+) $(30)...
3. The Rayleigh distribution is a continuous distribution with pdf of the form Så exp(-+) $(30) = >0 otherwise Suppose that X1,..., X, form a random sample from a Rayleigh distribution where the value of the parameter 8 >0 is unknown. a. Find the maximum likelihood estimator (MLE) of e, assuming that all observed values satisfy 2: >0. b. Is your MLE of 8 a sufficient statistic? Why or why not?
4. Find the electric field originating from the following charge distribution when you are located far away from r=0. p(1,0,%) = Po sin 30 sin & exp ) Make note of any approximations you may employ and state where your approximation would be valid
2) For a spherical charge distribution in the air: po (02 – r2), when r <a p. when r>a lo, (a) Find E and for r>a (b) Find E and for r<a (c) Find the total charge (d) Show that E is maximum when r=0.7454a
(7) Find the distribution of the so-called "extreme value" density function f(x) = exp(-r-e-r) for x R.
(7) Find the distribution of the so-called "extreme value" density function f(x) = exp(-r-e-r) for x R.
solve it with details.
1) A sphere of radius R carries a volume charge distribution plr where po is a positive constant. a. Find the electric field, both magnitude and direction, for r < R, and r > R. b. Find the potential for r <R, and r > R. (Take V +0 when r700) plrl=poll
An infinitely long insulating cylinder of radius R has a volume charge density that varies with the radius as p po (a-where po a and b are positive constants and ris the distance from the axis of the cylinder. Use Gauss's law to determine the magnitude of the electric field at radial distances (a) r< R and (b)r>R
Problem 3: In a certain region, a charge distribution exists that is spherically symmetric but nonuniform. That is, the volume charge density p(r) depends on the distancer from the center of the distribution but not on the spherical polar angles and . The electric potential V(r) due to this charge distribution is V(r) = Pop (1-3(E)? +2(3) forrsa; and V(r) = 0 for r > a, where po is a constant having units of C/m' and a is a constant...
3. The Rayleigh distribution is a continuous distribution with pdf of the form Så exp(-+) $(30) = >0 otherwise Suppose that X1,..., X, form a random sample from a Rayleigh distribution where the value of the parameter 8 >0 is unknown. a. Find the maximum likelihood estimator (MLE) of e, assuming that all observed values satisfy 2: >0. b. Is your MLE of 8 a sufficient statistic? Why or why not?
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