solution please Question 4 1 pts A line has non-uniform linear charge density described by X(X)...
A uniform linear charge distribution of p, charge density lies at x = -b.-b <y <b z=0. a) (3 points) Find the general expression for electric potential, V, at any point on positive x-axis. b) (2 points) Using the result on part a, find the expression for electric field intensity, Ē, at any point on positive x-axis.
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
Exercise 6. Let (X, Y) be uniform on the unit ball, i.e. it has density if 2+y2 < 1, if 2y1 -{i fx.y) (r, y) Find the density of X2Y
P6. A very long cylinder of radius a 5.00 cm has a uniform charge density 15.0 nC/em. Plot the electric field created by this cylinder as a function of r, the distance from the axis of the cylinder, for 0〈r< 15.0 cm.
4) A nonconducting sphere of radius Ro and total charge Q, contains a non-uniform volume charge density p -A/r (where A is a constant) throughout the she (a) Find the constant A in terms of Ro, k and Q (b) Find the electric field for r < Ro and r Ro.
A non-uniform line charge extends from -5 cm to +5 cm on the x-axis. The linear density is given by lambda (x) = 0.0001 x^3 (in units of C/m). What is the net charge Q_net on the rod (express your answer in mu C)? What is the electric field evaluated at the origin E_0 (both magnitude and direction)? Now let lambda (x) = -16*7 x^6 (C/m) and re-evaluate the net charge Q_net and the electric field at the origin E_0.
A uniform line charge of linear charge density = 2.6 nC/m extends from x = 0 to x = 5 m. (a) What is the total charge? nC (b) Find the electric field on the x axis at x = 6 m. N/C (c) Find the electric field on the x axis at x = 8 m. N/C (d) Find the electric field on the x axis at x = 250 m. N/C (e) Find the field at x =...
Question-2 Consider the joint uniform density function C for 22 + y2 < 4, f(x,y) 0 otherwise. What is the value of c? 0 What is P(X<0)? What is P(X <0, Y <0)? What is f( x | y=1)?
QUESTION 22 Plot the elements of the set on a number line. {x| X<-7} + 4+ S + -10 + -8 -6 -4 -2 0 2 ok. ok + + + + + + + + +
TD P4. A charged sphere of radius R has a non-uniform charge distribution given by PPo co where R- 2.50 cm, and Po-3.40 nC/cm'. (a) Determine the electric field forr< R. (b) Determine the electric field forr > R.