[25 points total] Tutorial question. For the following context, assume units (m for length, C for...
An infinitely long line of charge has a linear charge density λ, in units of C/m. (a) (3 pts.) Describe the shape Gaussian surface you would use for this charge configuration and the electric flux for this surface. Do all of the parts of this Gaussian surface have a nonzero electric flux? Explain. (b) (3 pts.) Derive an expression for the electric field in terms of the linear charge density λ. (c) (4 pts.) Briefly show how you would find...
Question 2 (3 points) A rod sits horizontally along the x-axis with a continuous uniform charge distribution such that the linear charge density λ is 0.025 C/m, with one end of the rod at the origin and the other end of the rod at x = 0.35m. Find the electric potential at the point on the x-axis where x = 0.45 m given that the potential an infinite distance from the rod is defined as being equal to zero.
LC-S A line of length I. with conastant linear charge density +λ(C/m) lies on the x axis. A port P lies on the perpendicular bisector of the line (the y axis). a) Show the details of the symmetry argument (pick dq's and show their dE's) to explairn which of the two components (x or y) of the net field at point P are equal to zero due to the entire line of charge. Use the figure in your explanation. Explicitly...
Incorrect Question 8 0/1 pts The figure shows a thin, straight rod of length L which carries a charge which has a uniform, linear charge density of λ; the rod lies on the x-axis between x = 0 and x = L. Which of the expressions below gives the magnitude of the x-component of the electric field at point P located at coordinate (-A·Y)? -o(x+が+72)1.2 kxd
Electric Field from Arc of Ch A total charge Q-4.3 C is distributed uniformly over a quarter circle arc of radius a 6 cm as shown. 1) what is λ the linear charge density along the arc C/m Submit 2) What is E,, the value of the x-component of the electric field at the origin (k.n- 0.0) 3) What is E, the value of the y component of the electric field at the origin toy) (0.0)2 N/C Suhmit 3) What...
1. Electric charge is distributed uniformly along a R thin rod of length a, with total charge Q. Take the у potential to be zero at infinity e a. Find the electric field Ē at point P, a distance x to the right of the rod (10 pts) b. Find the electric field Ē at point R, a distance y above of the rod (10 pts) c. In parts (a) and (b), what does your result reduce to as x...
Potential of a Finite RodA finite rod of length L has total charge q, distributed uniformly along its length. The rod lies on the x-axis and is centered at the origin. Thus one endpoint is located at (-L/2,0), and the other is located at (L/2,0). Define the electric potential to be zero at an infinite distance away from the rod. Throughout this problem, you may use the constant k in place of the expression .a) What is VA, the electric potential...
LC-5 A line of length L with constant linear charge density +2(C/m) lies on the x axis. A point P lies on the perpendicular bisector of the line (the y axis). a) Show the details of the symmetry argument (pick dq's and show their dE's) to explain which of the two components (x or y) of the net field at point P are equal to zero due to the entire line of charge. Use the figure in your explanation. Explicitly...
Question 8 2 pts Consider a thin charged rod of length L, and uniform charge density (see figure). Find the electric field at this point. L Linear charge density 2 Suppose we wish to calculate the electric field at the dot indicated above, at (x,y)-coordinates given by (0, a). I.e., the dot is located on the y-axis, a distance a away from the rod (x-axis). Note: The rod is not centred on y-axis. Which expression will give the correct vertical...
Consider a very (infinitesimally!) thin but massive rod, length L (total mass M), centered around the origin, sitting along the x-axis. (So the left end is at (-L/2, 0,0) and the right end is at (+L/2,0,0) Assume the mass density λ (which has units of kg/m)is not uniform, but instead varies linearly with distance from the origin, λ(x) = c|x|. a) What is that constant “c” in terms of M and L? What is the direction of the gravitational field...