A positively charged rod with linear charge density À lies along the x axis (see figure below). Find an expression for the magnitude of the electric field at the position Pa distance x away from the origin, where x > L. (Use any variable or symbol stated above along with the following as necessary: k for Coulomb's constant.) E =

You have the same line of charge in the previous problem (with +6.00 nC of charge on it).  But now you are measuring the electric field 1.5 m above the center of the rod – see image below.  Predict the electric field at Point P in this diagram.  Make sure to include a direction with your answer.

A thin rod is bent into a half circle of radius R and centered on the y-axis so that it lies flat in the xy-plane as indicated in the diagram. This glass rod is rubbed all over with silk so that the rod has a total positive charge Q uniformly distributed over the length of the bent rod. Answer the following questions to determine the net electric field at an observation location A located on the positive z-axis a distance d from the origin. (See pic 1 for the following questions)  A. Consider an infinitesimal piece of the glass rod located at an angle θ\thetaθ from the positive x-axis. Determine the relative position vector that points from this piece of the rod to the observation location. B. Derive an expression for the electric field dE⃗ of the infinitesimal piece dQ located at angle θ and integrate over the charge distribution to determine the net electric field E⃗ at the observation location. Your answer should only contain the given variables (R, Q, d) and known…

Please excuse the lack of labeling on the diagrams Because of software problem. The small circle On the left represents Q, and one on right Represents Q,. The x between the2 charges represents point P,the midpoint between the two charges,while the little circle below represents point A, directly below Q. the distance between Q, aqnd Q is 40 cm. Point A is 30 cm below Q. If Q = 5 µC and Q = 10 µC Find %3D a) Potential at Point P, b) the potential at A, c) the work done to move a test charge q = e = 1.6x10-19 from point P to A

A positive charge q is fixed at point (3,4) and a negative charge −q is fixed at point (3,0). Determine the net electric force F→net acting on a negative test charge −Q at the origin (0,0) in terms of the given quantities and physical constants, including the permittivity of free space ε0. Express the force using ij unit vector notation. Enter precise fractions rather than entering their approximate numerical values.

Use the figure below. There is a point charge of 6.20 microCoulombs inside a spherical conducting shell with inner radius a=3.10 m and outer radius b=3.35 m. There is a total charge of  15.50 microCoulombs on the spherical shell.   What is the electric field at r=2.85 m from the point charge (ie inside the shell)? (Treat + as away from the point charge and negative as toward the point charge. Answer in N/C).

A uniformly charged rod of length L and total charge Q lies along the x axis as shown in in the figure below. (Use the following as necessary: Q, L, d, and ke.) Ey= P d Ⓡ (a) Find the components of the electric field at the point P on the y axis a distance d from the origin. Ex= Eyz (b) What are the approximate values of the field components when d >> L? Ex L Explain why you would expect these results. This answer has not been graded yet. Need Help? Read It