1. Charge, Q= 2.20nC is uniformly distributed along the thin rod of length, L= 1.20m shown below.
a. Determine the linear charge density of the rod.
b. Determine an expression for charge dqon an infinitesimally small section of the rod of length dx in terms of the charge density and dx.
c. The point P1is located a distance a= 0.300m from the end of the rod. Determine an expression for the distance, r, between the point P1and an arbitrary chunk of the rod located an arbitrary distance, x, from the origin (between 0 and L).
d. Determine an expression for the electric field dE at P1 due to only the arbitrary chunk of the rod from part c. Use k, λ, x, L, and a.
e. Determine the net electric field, E at a point P1 due to the entire rod.
Trending nowThis is a popular solution!
Step by stepSolved in 5 steps with 1 images
- A very large plane of charge with o= 4.0x10 c/m² lies in the y-z plane. A single charge Q=3.0x 10 C lies on the +x axds at x- 2.0 m. The electric field in N/C at x=5.0 m has the value a. 104. b. 226. c. 300. d. 526. e. 752.arrow_forwardA point charge, q = -5.0 nC, and m = 2.0 x 10-18 kg, is shot vertically upward with an initial speed of 3.0 x 105 m/s from a thin, infinite, planar sheet of uniform charge with surface charge density of σ = +4.0 . To what vertical elevation will q rise above the sheet of charge? Neglect gravity. a. 6.0 cm b. 8.0 cm c. 5.0 cm d. 4.0 cm e. 7.0 cmarrow_forwardAn irregular neutral conductor has a hollow cavity inside of it and is insulated from its surroundings. An excess charge of 22.0 nC is sprayed onto this conductor. a. Find the charge on the inner surface of the conductor. b. Find the charge on the outer surface of the conductor. c. Without touching the conductor, a charge of -15.0 nC is inserted into the cavity through a small hole in the conductor. Find the charge on the inner surface of the conductor in this case. d. Find the charge on the outer surface of the conductor in this case.arrow_forward
- A particle of charge 2.0 x 10-8 C experiences an upward force of magnitude 1.5 x 10-6 N when it is placed at a particular point in space. Hint a. What is the electric field at that point? The electric field at that point is N/C. b. If a charge q = The force is in Select an answer direction with magnitude (Use "E notation" to give your answer in scientific notation, e.g. "3.14E-12" for 3.14 x 10-12 .) 3.0 x 107 -8 C is placed there, what is the force on it? Question Help: Message instructor Submit Question Course Chat N. MacBoarrow_forward1. a nonconducting rod of length L has charge -q uniformly distributed along its length. (a) What is the linear charge density of the rod? (b) What is the electric field at point P, a distance a from the end of the rod? (c) If P were very far from the rod compared to L, the rod would look like a point charge. Show that your answer to (b) reduces to the electric field of a point charge for a >> L.arrow_forwardThe figure shows a solid non-conducting sphere of radius a = 4.4 cm. It is surrounded by a charged conducting spherical shell of inner radius b = 15.3 cm and outer radius c = 24.8 cm. The inner sphere has a net charge of q1 = 9 nC and the conducting spherical shell has a net charge of q2 = -7 nC. a. What is the surface charge density on the inside surface of the spherical shell? b. What is the surface charge density on the outside surface of the spherical shell? c. What is the value of the electric field at a distance r = 58 cm from the centre of the spheres? Please use a negative value to indicate the electric field points toward the centre of the spheres and a positive value to indicate away from the centre of the spheres.arrow_forward
- A Van de Graaff generator has a 0.045 mC charge on its conducting spherical terminal. a.What is the magnitude of the electric field 2.7 m from the center of the terminal of the Van de Graaff generator? Since that distance is greater than the radius of the terminal, the field is the same as that due to the same charge concentrated at the center. Give your answer in newtons per coulomb. b. At this distance, what is the magnitude of the force that the field exerts on a 2.1 μC point charge on the Van de Graaff generator's belt? Give your answer in newtons.arrow_forwardYou have a conducting sphere shell that has radius R. It Carrie a total positive charge of Q. Point p is located inside the sphere at distance r=R/2 from the center, as shown in the picture. What is the magnitude of the electric feild at point P? a. 2KeQ/R² b. KeQ/R²c. KeQ/2R² d. KeQ/4R² e. 0arrow_forwardA thin, insulating rod of length Icarries a linear charge density^(x) that varies with distance according to (x)=Ax (in SI units). The location of the origin is shown in the figure. A point charge q is located a distance I from the end of the rod as shown. a. What are the SI units of the constant A? b. Find the force that the rod exerts on q.arrow_forward
- You have a vertical polyethylene rod. It is 30 cm. It Carries a negative charge Q=-3μC which is distributed uniformly allong it's length. A 51 gram marble of glass Carriies a positive q= +0.44 μC charge . The marble hangs from the rod from a plastic string, 10 cm below the rod. What is the tension in the string?. a. 0.8N b. 0.5N c.0.3N d. 0.2N e. 0Narrow_forward10. A point charge (Q) is located in a hollow ca- vity which is inside of a conductor ; we note that the conductor has no excess charge. In the figure, let V, , Vý ,Ve and Va be the poten- tials at points “a", “b", “e" and “d" respec- tively. If Q is positive then which answer choice gives correct information? a. V, > V, ; V, V, ; V, > V, c. V, = V, ; V, = V, d. V, V.arrow_forward