A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin (Figure 1) ext t Sharing Figure < 1 of 1 tings Tools +y

A thin-walled, hollow, conducting cylinder with radius rb is concentric with a solid conducting cylinder with radius ra<rb. Each has length L. The two cylinders are attached by conducting wires to the terminals of a battery that supplies potential V. A solid cylindrical shell, with inner radius ra and outer radius R<rb, made of a material with dielectric constant K, slides between the conducting cylinders, as shown in (Figure 1). By changing the insertion distance x, we can alter the capacitance seen by the battery and therefore alter the amount of charge stored in this device. a)Determine the capacitance as a function of x. Express your answer in terms of the variables K, L, ra, rb, R, x, and constants ϵ0, π.   b) If L = 12.0 cm, ra = 1.00 cm, rb = 4.00 cm, R = 3.00 cm, and K = 3.21, what is the capacitance when x = 0?   c) What is the capacitance when x = L?   d) What value of x results in 6.00 nC of charge on the positively charged cylinder plate when V = 1.00 kV?

Question 10 of 11 (a) In the figure a charged particle (either an electron or a proton) is moving rightward between two parallel charged plates separated by distance d = 6.10 mm. The plate potentials are V₁ = -67.0V and V₂ = -50.0 V. The particle is slowing from an initial speed of 85.0 km/s at the left plate. (a) Is the particle an electron or a proton? (b) What is its speed just as it reaches plate 2? (b) Number i 62.955 e Textbook and Media Hint 3 Save for Later A+ proton F3 E ▬▬▬ ▬▬▬ Q Search F4 $ R --- F5 % 5 T + Units F6 V₁ i 6 m/s 1 120 F7 Y & V₂ D LO F8 U O 8 Attempts: unlimited 0.1/1 F9 8 : F10 Submit Answer F11

What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of uniform density 13.97 nC/m is distributed along the z axis from z = 2.1 m to z = 6.45 m.   Round your answer to 2 decimal places.

What is the electric potential in volts (relative to zero at infinity) at the origin for a charge of uniform density 11.46 nC/m is distributed along the z axis from z = 2.6 m to z = 6.12 m.