Line charge Definition and 83 Threads

Homework Statement An infinite line of charge with linear density λ = 8.8 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.9 cm and outer radius b = 4.1 cm. The insulating shell is uniformly charged with a volume density of ρ = -659 μC/m3. What is λ2, the...

Homework Statement Let's say we have a wire of finite length L with total charge Q evenly spread along the wire so that lambda=Q/L, linear charge density, is constant. The wire is shaped in x-y plane in some well behaved curve y = f(x). Find the surface charge density sigma(x,y). Homework...

Electric field of an infinite line charge and a point charge! Homework Statement An infinite line charge with linear charge density \lambda=2.0\muC/m lies along the y-axis. A point charge of 8.0 \muC is locate at (x,y)=(-1.0m, 2.0m). Find (a) the electric field at (x,y)=(1.0m, 2.0m) (b) Find...

Homework Statement You are given a charge distribution that is a uniform line charge (λ) extending from –L to L along the x-axis. Calculate the potential along the z axis. Use the given value for the electric field to calculate the line integral and verify part a. The given value for the...

Homework Statement 1. Homework Statement An infinite line of charge with linear density λ = 7.5 μC/m is positioned along the axis of a thick insulating shell of inner radius a = 2.9 cm and outer radius b = 4.9 cm. The insulating shell is uniformly charged with a volume density of ρ =...

Homework Statement A uniform line charge of linear charge density \lambda = 5.00 nC/m extends from x = 0 to x = 10m. The magnitude of the electric field at the point y = 12m on the perpendicular bisector of the finite line charge is? Homework Equations E = \intdE = \intk(dq) / r2 Ex =...

When we consider the electric field from an infinite line charge we see that electric field falls off as a function of 1/r while it is constant in case of a infinite sheet... How come such differences arise when both the charge sources are infinite in nature? (I didn't get the explanation in the...

1. Homework Statement A long, thin straight wire with linear charge density \lambda runs down the center of a thin, hollow metal cylinder of radius R. The cylinder has a net linear charge density 2(\lambda). Assume \lambda is positive. Find expressions for the magnitude of the electric...

Homework Statement Two line charges of the same length L are parallel to each other and located in the xy plane. They each have the same linear charge density λ=constant. Find the total force on II due to I. Homework Equations F =QE Q = \lambdaL E = ? This is where I'm stuck. The...

Homework Statement "Compute the electric field due to an infinite line charge by integrating the expression obtained from the inverse square law." Homework Equations I think that the equation required is: E(\bold{r}) = \frac{1}{4 \pi \epsilon_0} \int_{-\infty}^{+\infty}...

Homework Statement Find the electric field a distance z above the midpoint of a straight line segment of length 2L, which carries a uniform line charge λ. Homework Equations 1) my textbook says : E(r) = 1/4πεo ∫V λ(r')/r2 r dl' 2) and this also works? : E(r) = 1/4πεo ∫V λ(r')/r3...

Suppose you have a line charge Q along the x-axis from +a to -a. Simple integration should give the potential at any point x as: phi(x) = 1/(4pi epsilon) Q/L loge((x+a)/(x-a)) = 1/(4pi epsilon) Q/L loge((x+xdx)/(x-xdx)) = 1/(4pi epsilon) Q/L loge((1+dx)/(1-dx)) So there's no longer...

Homework Statement A straight wire 7.0m long carries 30uC distributed uniformly over its length. What is the line charge density on the wire? _____ uC/m Homework Equations A) E = 2k/lamda / B) E = kq/r some other ones? The Attempt at a Solution I sub B into a...

Here is an interesting question (units are Gaussian): An infinitely long strgiht wire of negligible corss-sectional area is at rest and has a uniform lineare charge density q_0 in the inertial fram K'. The frame K' (and the wire) move with a velocity v parallel to the direction of the wire...

Homework Statement Find the potential a distance z from an infinite straight wire with uniform linear charge distribution. Homework Equations \int\textbf{E}\cdot\text{d}\textbf{l} The Attempt at a Solution The direction of the field is clearly radial from the wire, and dl is in...

Homework Statement Infinite unknown line charges of 5nC/m lie along the (positive and negative) x and y axes in free space. Find E at P(0,0,4) Homework Equations E = (pl/2(pi)(eo)p)ap pi = 3.14... eo - permitivity of free space 8.854 x 10^-12 pl = line charge density ap = unit...

Homework Statement A uniform line charge extends from x = - 2.7 cm to x = + 2.7 cm and has a linear charge density of lambda = 6.5 nC/m. (a) Find the total charge. Find the electric field on the y-axis at the following distances. (b) y = 4 cm 2. The attempt at a solution It...

Hi! I would like to find the electric field of an infinite line charge without using Gauß's law. I already simply integrated over the line charge, which gave me the correct result. However, I would like to try yet another approach: the potential equation, which states that: \Delta \phi =...

Homework Statement We have a source charge that is a uniform sphere with a radius a (centered at origin) and uniform charge density, \rho. There is a line charge with a length L that begins at Z0 and ends at Z0 + L (lies on the Z axis). This line charge has a uniform charge density of...

Homework Statement A charge distributed uniformly over 1 face of the circular disk, find the surface charge density ? well i know density for surface charge is S= charge/area, the area for face of 1 circular disk is what ? 2pir ?

http://img512.imageshack.us/img512/1216/adszrs6.th.jpg anybody help me? i try these http://img167.imageshack.us/img167/5320/adsz2bw0.th.jpg correct?

-----problem------- an infinite line of charge produces an electric field of 20N/C at a point that is 3 meters from the line. the electric field points toward the line of charge what is would be the force (magnitude and direction) on a negative 6 microcoulomb charge that is located 6m from the...

Homework Statement This may be simple but apparently I can't see it. When given two parallel infinite line charges, how do you change dl to dr? A book I have says that dl*\hat{r}=dr but I don't see how. Any help is greatly appreciated. Thanks! Homework Equations The Attempt at a...

Homework Statement A 10-cm long thin glass rod is uniformly charged to +50 nC. A small plastic bead, charged to - 5.2 nC, is 4.1 cm from the center of the rod. What is the magnitude of the force on the bead? Homework Equations dF = (k dq)/r^{2} The Attempt at a Solution I've gotten to...

Hey there! :) Homework Statement A uniform line charge with linear charge density = 6nC/m is situated coincident with the x-axis. Find the electric flux per unit length of line passing through a plane strip extending in the x direction with edges at y=1, z=0, and y=1, z=5. The final answer...

Homework Statement We have a non uniform line charge density P_{l} = \rho_{l} cos\phi It is a spiral line where 0 \leq \phi \leq 4 \pi It is on the x-y plane with z=0. r varies: r ( \phi ) = \phi * r_{0} + a We need to find the Potential and Electric Field at the origin...

A thin rod 39.2 cm long is charged uniformly with a positive charge density of 72.0 mC/m. The rod is placed along the y-axis and is centered at the origin. A charge of +46.5 mC is placed 68.4 cm from the midpoint of the rod on the positive x-axis. Calculate the electric field at a point on the...

A rod of length 80 cm has a uniform linear charge density of 5 mC/m. Determine the Electric Field at a point P located at a perpendicular distance 57 cm along a line of symmetry of the rod i don't know what i wrong..but here is what i am doing linecharge(change in lenght)= change in Q...

A line charge of liner charge density lambda=4.5 nC/m lies on the x-axis and extends from x=-5cm to x=5cm. Derive an expression for E_y. I have started with this question and it seems that I have to sum the electric fields in the y direction caused by each dx along the line with a charge dq...

A continuous line of charge lies along the x axis, extending from -x_{0}{ to -\infty. The line carries a uniform linear charge density \lambda_{0}. What is E, the magnitude of the electric field, at the origin? Use the symbols \lambda_{0}, x_{0} and k (for the Coulomb constant) to enter your...

I know it seems a bit trivial, but what is the potential right at an infinite uniformly charged line? Irregardless of reference point, the Potential will have a ln|s|, where s is the perpendicular distance to the line. Obviously this would result in infinity. At the same time when I...

Hello, I've been reviewing some general physics and came across a problem which has stumped me. If there is anyone out ther who can point me in the right direction, that would be greatly appreciated. The problem is the following: Two thin rods of length L lie along...

could anyone compare the behaviors of (1) an object with a net charge but no dipole moment and (2) an object with net charge but with a dipole moment when placed in the electric field produced by an INFINITE line charge? thankyou