Question

Problem 1 A line of charge with uniform density $p_1 = 8 \ (\mu C/m)$ exists in air along the $z$-axis between $z = 0$ and $z = 5$ cm. Find E at (0,10 cm,0). Problem 2 A line of charge with uniform density $\rho_l$ extends between $z = -L/2$ and $z = L/2$ along the $z$-axis. Apply Coulomb's law to obtain an expression for the electric field at any point $P(r, \phi, 0)$ on the $x$-$y$ plane. Problem 3 Charge $Q_1$ is uniformly distributed over a thin spherical shell of radius $a$, and charge $Q_2$ is uniformly distributed over a second spherical shell of radius $b$, with $b > a$. Apply Gauss's law to find E in the regions $R < a$, $a < R < b$, and $R > b$. Problem 4 An infinitely long cylindrical shell extending between $r = 1$ m and $r = 3$ m contains a uniform charge density $\rho_{v0}$. Apply Gauss's law to find E in all regions.

          Problem 1
A line of charge with uniform density $p_1 = 8 \ (\mu C/m)$ exists in air
along the $z$-axis between $z = 0$ and $z = 5$ cm. Find E at (0,10 cm,0).
Problem 2
A line of charge with uniform density $\rho_l$ extends between $z = -L/2$ and $z = L/2$
along the $z$-axis. Apply Coulomb's law to obtain an expression for the electric
field at any point $P(r, \phi, 0)$ on the $x$-$y$ plane.
Problem 3
Charge $Q_1$ is uniformly distributed over a thin spherical shell of radius $a$, and
charge $Q_2$ is uniformly distributed over a second spherical shell of radius $b$,
with $b > a$. Apply Gauss's law to find E in the regions $R < a$, $a < R < b$, and $R > b$.
Problem 4
An infinitely long cylindrical shell extending between $r = 1$ m and $r = 3$ m contains a
uniform charge density $\rho_{v0}$. Apply Gauss's law to find E in all regions.

Problem 1
A line of charge with uniform density p1 = 8 (μ C/m) exists in air
along the z-axis between z = 0 and z = 5 cm. Find E at (0,10 cm,0).
Problem 2
A line of charge with uniform density extends between z = -L/2 and z = L/2
along the z-axis. Apply Coulomb's law to obtain an expression for the electric
field at any point P(r, ϕ, 0) on the x-y plane.
Problem 3
Charge Q1 is uniformly distributed over a thin spherical shell of radius a, and
charge Q2 is uniformly distributed over a second spherical shell of radius b,
with b > a. Apply Gauss's law to find E in the regions R < a, a < R < b, and R > b.
Problem 4
An infinitely long cylindrical shell extending between r = 1 m and r = 3 m contains a
uniform charge density ρv0. Apply Gauss's law to find E in all regions.

Added by Anna M.

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