A uniform line of charge of length V/2 lying between x = 0 and x =...

Question

Question

A uniform line of charge of length V/2 lying between x = 0 and x = 1/2 is charged with 2Q os shown in the figure. Which of th

science physics

Answer 1

Answer #1

$E = k \int_{0}^{L/2} \frac{\lambda}{(3L-x)^{2}}dx$

$Since \: \lambda = 2Q/L$

Therefore ,

$E = k \int_{0}^{L/2} \frac{2Q/L}{(3L-x)^{2}}dx$

or

$E =\frac{2kQ}{L} \int_{0}^{L/2} \frac{dx }{(3L-x)^{2}}$

Thus second option is correct.

Answer 2

Similar Homework Help Questions

A uniform line of change of length 12 ying between x-o andx = 3 2 b...

A uniform line of change of length 12 ying between x-o andx = 3 2 b cargea wan as shown in the fewe vien ar to follow A uniform line of charge of length 31/2 lying between x = 0 and x = 34/2 is charged with Q as shown in the figure. Which of the following gives the electric field at point P located at x = 2L? 20 34/2 dx 3L J. (2L - x)? KQ o 2L...
A uniform line of charge of length 1/4 lying between x located at x - 3/4?...

A uniform line of charge of length 1/4 lying between x located at x - 3/4? and x = 4 is charged with Q as shown in the figure. Which of the following gives the electric field at point A moving to another question will save this response. Question of
6. Consider a line charge with uniform charge density λ lying on the x-axis from x...

6. Consider a line charge with uniform charge density λ lying on the x-axis from x =-L to x = 0. a) Determine the electric field a distance y above the right end of the line charge (point P in the figure) and a distance r to the right of the line charge (point P2 in the figure). Pi C-I b) In lecture you saw the electric field of an infinite line charge. Now we wil consider a "semi-infinite" line...

6. Consider a line charge with uniform charge density λ lying on the x-axis from z...

6. Consider a line charge with uniform charge density λ lying on the x-axis from z =-L to 0. a) Determine the electric field a distance y above the right end of the line charge (point P in the figure) and a distance r to the right of the line charge (point P2 in the figure). P2 b) In lecture you saw the electric field of an infinite line charge. Now we will consider a "semi-infinite" line charge; that is,...
The figure shows a thin plastic rod of length L = 10.3 cm and uniform positive charge Q = 52.7 fC lying on an x axis

The figure shows a thin plastic rod of length L = 10.3 cm and uniform positive charge Q = 52.7 fC lying on an x axis. With V = 0 at infinity, find the electric potential at point P1 on the axis, at distance d = 3.07 cm from one end of the rod.
ans : +2.29x10^4 V An infinite line of charge has a uniform linear charge density 1...

ans : +2.29x10^4 V An infinite line of charge has a uniform linear charge density 1 = 1.50 C/m. A section of the line is shown below. Calculate the absolute potential at point P when the zero point (V = 0) is set at r = 3.50 m. The electric field due to a uniformly charged line is given by: E = 2k1 r = 1.50 m k = 8.99x109 Nm2C-2

A very long uniform line of charge has charge per unit length 4.62 μC/m and lies...

A very long uniform line of charge has charge per unit length 4.62 μC/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.52 μC/m and is parallel to the x-axis at y1 = 0.402 m 1) What is the magnitude of the net electric field at point y2 = 0.220 m on the y-axis? 2) What is the magnitude of the net electric field at point y3 = 0.600 m on...
2. As indicated below, a line of charge of length l=17m is parallel to the a...

2. As indicated below, a line of charge of length l=17m is parallel to the a 5m from the origin O. The line has a linear charge density 219HC x-axis and at a distance density λ=A,(x2+a2)", where ge /m dx A. Please find F, the vector that points from the source point to the field point O in unit-v notation. ector B. Please find da, the element of charge of length dx located at x. C. Please find the electric...
PHYS 2204.22 2. As indicated below, a line of charge of length ㈢7m is parallel to the x-axis and...

PHYS 2204.22 2. As indicated below, a line of charge of length ㈢7m is parallel to the x-axis and at di a=5m from the origin O. The line has a linear charge density λ= (x2+41广, where 1 19HC University PhysicsII Exam 2 Wednesday, April 10, 2019 rn -12 dx A. P notation. lease find P, the vector that points from the source point to the field point O in unit-vector B. Please find dg, the element of charge of length...

A very long uniform line of charge has charge per unit length 4.68 μC/m and lies...

A very long uniform line of charge has charge per unit length 4.68 μC/m and lies along the x-axis. A second long uniform line of charge has charge per unit length -2.42 μC/m and is parallel to the x-axis at y1 = 0.382 m . Part A What is the magnitude of the net electric field at point y2 = 0.200 m on the y-axis? Part C What is the magnitude of the net electric field at point y3 =...