1. Consider a ring of charge with radius R and uniform charge per unit length λ where > 0. A negative point charge -q with mass m is constrained to lie on the axis passing through the ring's symmetry axis. The point charge is located a very, very small distance from the center of the ring. Show that the point charge approximately undergoes simple harmonic motion and find the corresponding frequency. Hint: show that the force on the point charge is approximately very similar to Hooke's law. You'll need to first find the electric field of the ring along it's symmetry axis.

Answer as soon as u can (30 minutes left)

#14. will give thumbs up

I need the answer quickly

A hollow conducting spherical shell with inner radius "a" and outer radius "b" carries total charge +3q. A point charge +2q is placed at the center of the hollow shell a) Find the induced charges on the surfaces ra and rib. b) Find the work done by the electric field to move a proton (charge q) from rea to r=3b.

Please answer all parts.

You Answered Correct Answer A line of charge is placed along the negative x axis from x=-0.4m to x=0. The charge is uniformly distributed with linear charge density 3.06pC/m. A proton is released from rest at a point on the positive x axis 2.53m. When the proton has a speed of 472.1m/s, how far will it have moved (in m}? 1.0975 margin of error +/-1%

4.) Figure Q.2 (b) shows a cylindrical structure with length of 50 m. The inner and the outer surface are separated by free space and located at r = a and r = b respectively. The inner and outer surface of the structure contain a total charge of +1pC and -1pC, respectively. An infinitely long line charge with line charge density of +1pC/m is introduced along the axis of the structure. Given that a = 1 mm and b = 2 mm. +pa C/m? -Рь С/m? Figure Q.2(b) i. Calculate +pa and -pp at radius a and b respectively ii. Find D and E in all regions iii. Sketch graph |D| versus r

Imagine you have four identical charge q, placed on the corners of a square. If q = 14.77 uC, then the side of the square is s = 13.04 cm, calculate the energy needed to bring these charges from infinity to their current configuration. NOTE: Final answer in THREE decimal places. Then, state the SI unit of the variable being sought off. Add your answer

Consider charges along the xy plane. q1=+Q is located at (0, a) while q2=+Q is located at (-2a, 0). Determine the work that an external force needs if an observer wants to move charge q3=-Q from infinity to (0,0). Base your answers on the choices in the picture.