1. what is the electric field at the centre (r = 0) of a hemisphere bounded...
Help with question 2
1. what is the electric field at the centre (r = 0) of a hemisphere bounded by r = a, 0 < θ < π/2 and 0 < φ < 2m, that carries a uniform volumetric charge density P3(The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) Consider some charges that are lined up in a straight line. This line of charge carries a uniform linear charge density....
what is the electric field at the centre (r-0) of a hemisphere bounded by r-a, 0 < θ 〈 π/2 and 0 < φ 2π, that carries a uniform volumetric charge density ρ,-3φ(구)? (The charges are distributed in this hemispherical 3D space. Use spherical coordinates due to the hemispherical geometry.) 1.
The problem must be solved with this formula we were able to
define all the values in this formula except the r' vector which we
are unable to get
The r=0 given in the Q
the dv'= (r^2)sin(theta) dr dtheta dphi
pv(r')= 3phi given in the question
Note that the r' vector is a vector from the origin to the
differential volume element and the r vector is from the origin to
the observation point. Some texbooks define these 2...
4. A spherical region of space of radius 0.1 m has a volumetric charge density ρυ-kr2 where k = 4 × ttviyiteo everywhere Calculate the electric flux density (D) at r-0.02m Determine the distance r outside the sphere at which the magnitude of the electric flux density is equal to what you found in part (a). a. b.
find the total electric flux leaving the spherical surface r = 2.5 m given the charge configuration a line charge rho_l = 1/(z² + 1) nC/m on the z axis and A finite line charge of length L carrying uniform line charge density rho_l is coincident with the z axis.Determine V in the plane bisecting the line charge.
2. Potentials and a Conducting Surface The electric potential outside of a solid spherical conductor of radius R is found to be V(r, 9) = -E, cose (--) where E, is a constant and r and 0 are the spherical radial and polar angle coordinates, respectively. This electric potential is due to the charges on the conductor and charges outside of the conductor 1. Find an expression for the electric field inside the spherical conductor. 2. Find an expression for...
Question 1 (compulsory): The following set of charges is given in free space Charge σ,--40 nC/m Number and type of charge #1 , charged spherical shell of radius Ri-10 cm carrying uniform surface charge density σ #2, charged spherical shell of radius R2-5 cm carrying uniform surface charge density Ơ Location (0, 0, 0) m (position of the centre of the sphere) (0, 0, 0) m (position of the centre of the sphere σ,-160 nC/m2 The positions of the spheres'...
Starting from Coulomb's law in integral form in terms of the charge density and a volume integration, calculate the electric field at the origin of coordinates for a uniform line charge density λ that extends from (x,y,z) = (R,0,0) to (0,R,0) along an arc of radius R. 4.
What is the magnitude of the electric field at radial distances
(1) r = b, and (2) r = 3.00b, and
explain why. (Use Gauss' Law definition)
Please show all work.
The figure shows a spherical shell with uniform volume charge density p-2.18 nC/m, inner radius a = 11.1 cm, and outer radius b = 2.7a. The inner hollow spherical volume does not carry any charge.
Question 1 (compulsory): (i) State Gauss' law for the electric field (E-field) in words and explain its meaning. Write the corresponding mathematical expression and clearly define all symbols and operations used. Describe one application of Gauss' law. 15% (ii) A very long wire carrying electric charge with uniform line charge density is located in free space. Applying Gauss' law, derive the E-field due to this wire. Clearly explain every step of your derivation and the assumptions you take. 40% Find...