A plastic rod with linear charge density λ is bent into the quarter circle shown in (Figure 1). We want to find the electric field at the origin. Express your answer in terms of the variables R, λ, unit vectors i^, j^, constant π, and permittivity constant ϵ0.
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A plastic rod with linear charge density λ is bent into the quarter circle shown in (Figure 1). We want to find the electric field at the origin.
Express your answer in terms of the variables R, λ, unit vectors i^, j^, constant π, and permittivity constant ϵ0.
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- Please write you answers neatly and answer all parts.Consider a thin plastic rod bent into an arc of radius R and angle a. The rod carries a uniformly distributed negative charge -Q. (Note: the diagram may have the incorrect sign.) y α R -Q X What is the x component of the electric field at the origin? (Enter your responses in terms of the symbolic quantities mentioned in the problem. To make things easier, just write the letter "a" for the angle a, and use the Coulomb constant k rather than the unwieldy 1/4no.) Ex = k*Q*sin(a)/(a*R^2) Computer's answer now shown above. Tries 0/6 What is the y component of the electric field at the origin? Ey = k*Q*(1-cos(a))/(a*R^2) Computer's answer now shown above. Tries 0/6 Follow the steps outlined in class and in the textbook: 1. Use a diagram to explain how you'll cut up the charge distribution, and draw the AE contributed by a representative piece of charge at a given location. 2. Express algebraically the contribution each piece makes to each vector component of the electric field. Indicate…We have two uniformly charged parallel plates, as shown. Their widths are much larger than the separation between the plates. The magnitudes of the charges on each are equal. a, b, and c indicate the regions just above, in between, and just below the plates, respectively. Now let's suppose that the plates are squares with side length 1 cm, and that they have equal and opposite charges of magnitude 3.7 μC. What is the magnitude of the electric field in region b?
- Can someone please help with the following questions? I've attached the pictures below. I appreciate it! For the problem that asks about the meaning of of p0, I already have the answer for that, I just need help with part b.I am working on this review question and i couldn't come up with the correct solution. I need a well-explained solution so i can understand the solution and leverage this solution to answer more questions like this.The figure below shows part of an infinitely long, nonconducting line of charge with uniform positive charge per unit length ?. Determine the magnitude E of the electric field at a distance r from the line. Your answer should be expressed in variable form. (Use the following as necessary: ?, r, and ?0. Do not substitute numerical values; use variables only.)
- Below is a solid sphere of insulating materials (meaning that once placed, charge will not move around even when it feels a force). This sphere has a changing charge density given by the equation below. This tells you that there is more charge near the outer edges (when r is larger) then near the center (when r is small) since the charge density is proportional to r^2. In the image R is the total radius of the sphere and r is the distance from the center you will be asked about. There values are below. You have to calculate the amount of charge enclosed with the radius of r to find the electric field. You'll need to integrate to do this - that's where the charge density equation below will be used. Use Gauss's Law to find the Electric Field magnitude at a distance r from the center of the sphere. Make sure to think about charge enclosed and how to find it. It is a little more complicated in this problem. Be careful with your 2 radial values (R and r).Ans me pleaseThe picture on the right shows a plate capacitor. You may assume that the two plates are very large compared to the separation between the plates (i.e. you may treat them as 'infinite' planes). The plates are charged to ±Q, each plate has an area of A, and the plates are separated by a distance d. The x-axis in this problem is pointing from the negative to the positive plate, with the origin at the negative plate. The electric field at point 2 has a magnitude of E. E=3000 A=1 m² d = 8 mm c. What is the electric field strength at point 1? d. What is the charge Q on the plates? ·area A IT +Q €0=8.85 x 10-12 -a X=0 e. What is the electric field strength at point 3? Part A: a. In the picture, sketch the electric field between the plates by drawing the field lines. b. Find the surface charge density n on each plate. Nm² 12 x(mm)
- 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…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).