An electric charge Q = 2.1 nC is distributed uniformly throughout a nonconducting sphere of radius r = 0.045 m. Determine the electric field a) at 073 m and b) at 018 m from the center and present a graph of E vs distance from the center. SHOW ALL WORKS! Show a Diagram!!!

Please answer the following question(s): In the figure below Q₁ +3.0 μC, Q2 =-6.0 μC and Q3 = +2.0 μC. X=0 Q3 Q3 +2 μC Use the applet below to draw a free body diagram of charge Q1. 1. The choices for the force of Q2 on Q1, F2-1, are shown as arrows with the yellow tails. The choices for the force of Q3 on Q1, F31, are shown as arrows with the green tails. If F21 is greater than F3+1 pick the larger vector for F21 and the smaller vector for F31 and vice-vel x = 0 cm F2₂-1 2. Drag and place the two force vectors on Q₁ (blue dot) picking the correct choice for the directi and magnitude of the two forces. F2-1 Q1 x=3cm Select the appropriate directions and relative magnitudes of F2-1 and F3-1 and place their tails on Q₁. F2-1 x = 1 cm F2-1 Q2 x=4cm + x 2 cm Q₁ = +3 µC X x = 3 cm F3-1 F3-1 Q2 = -6 μC x = 4 cm F3-1 F3-1

Both of them, please.

A sphere of radius a is filled with a positive charge with uniform density p. Then a smaller sphere of radius a/2 is carved out leaving and empty cavity as shown in the drawing. What is the direction and magnitude of the electric field at point A? (Hint: Use superposition concepts) Select one: ρα Oa. E: = upward 360 Ob. It is not possible to calculate because there is no spherical symmetry. 2pa downward C. E: = 360 ρα O d. E= upward 660 ρα ○ e. E = downward 860 ○ f. 7pa E= upward 860

Only need Q4 and Q5

Find the electric field in N/C for the situation inproblem 67 on the x-axis at x = 6.98m. Round to 5 significant figures!!

A plastic rod with linear charge density λ is bent into the quarter circle shown in the image. We want to find the electric field at the origin   what is an expression for the x-component of the electric field at the origin due to a small piece of charge at angle θ, with the arc length RΔθ? Express your answer in terms of the variables R, λ, θ, Δθ, constant π, and permittivity constant ϵ0.   Write an expression for the y-component of the electric field at the origin due to a small piece of charge at angle θ, with the arc length RΔθ. Express in terms of the variables R, λ, θ, Δθ, constant π, and permittivity constant ϵ0.

please provide reasoning and diagram as well. Thank you!

Homework #1, PHYS110, Spring 2022 Page 554 Practice Problem 17.10: What total charge q must be distributed uniformly over a spherical shell of radius R= 0.50m to produce an electric field with magnitude 680 N/C at a point just outside the surface of the shell? Answer: ±19nC. 8 & E.dt هع d shell E 4 6 1 → E = 68000 a E. AR² 050m k = 9x109 N. 4²/2 ER2 4kB = Afcle)