zp cos o a, C/m" Calculate the total charge enclosed by the cylinder of radius 1 m with -2
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- (b): A conducting sphere of radius 1.0cm carries a charge which is uniformly distributed on its surface. The surface charged density is 0.5C/cm², Calculate the electric field at the surface of sphere. widNeed quick(c) Calculate the magnitude q of the charge on the left circular face of the foil. You may need to make simplifying assumptions or approximations. Hint: look at your diagram of the foil disk, when considering how to model the charge on the foil.
- (PART A) A Gaussian sphere with radius 1.20 m encloses a point charge Q1 = +2.25E-6 C at the spherical center. The electric flux through the spherical surface is measured to be Φ1. Another point charge Q2 = +1.46E-6 C is placed at the point 1.00 m from the spherical center, and another point charge Q3 = –4.47E-6 C is placed at the point 1.50 m from the spherical center. Q1 remains at the spherical center. The electric flux through the spherical surface is then measured to be Φ2. What is Φ2/Φ1? (PART B) A Gaussian sphere with radius 1.20 m encloses a point charge Q1 = +5.27E-6 C at the spherical center. The electric flux through the spherical surface is measured to be Φ1. Now Q1 is removed, and another point charge Q2 = –9.88E-6 C is placed at the spherical center. The electric flux through the spherical surface is then measured to be Φ2. What is Φ2/Φ1?Question 2 A 43.8 cm long rod has a nonuniform charge density given by the equation A(z) = Ae-2/b, where A = 2.50 nC/cm and b= 14.0 cm. What is the total charge on the rod? Hint: This problem requires integration! + + + + ++ Total charge on rod: +Consider a spherical shell with radius R and surface charge density a= ao cos 0, where is the polar angle in spherical coordinates and the shell is centered at the origin. a) Without computing any integral, argue why is the total charge carried by the shell zero. b) Evaluate the charge carried by the upper hemisphere, in terms of 0.
- Please AsapProblem 1 The figure below shows three concentric conducting thin spherical shells: • Sphere A of radius R₁ = 6 cm and a total charge QA = 2 nc. • Sphere-B of radius Rg = 21 cm and a total charge QB = -4 nC ⚫ Sphere-C of radius Rc 78 cm and a total charge Qc Qc is an unknown charge. Re RB RA B 1 What is the net electric flux o through the spherical surface of radius r = 13 cm from the center of the spheres? 2 spheres? E= 3. spheres? E= What is the magnitude of the electric field E at r = 59 cm from the center of the What is the magnitude of the electric field E at r=2 cm from the center of the 4. If the magnitude of the electric field is E 192 N/C at r = 93 cm from the center of the spheres, calculate Qc. Qe=A solid insulating sphere of radius R =5.00 cm has a non-uniform charge density p = Por2, where r is measured from the center of the sphere and po is constant. Concentric with this sphere is a conducting spherical shell with inner radius a = 7.00 cm and outer radius b = 9.00 cm, having a net charge q = -1.00 µC. a) Find the value for the constant po (including units), given that the total charge on the insulating sphere is Q = 4.00 nC. Be sure to first derive expression in symbolic form in terms of Q, R. Box both the symbolic expression and the final answer. b) Derive an expression for electric field forr b. Box it. e) Draw an E vs. r graph and show the values for E at distances R, a, b.
- Given a non-uniform SURFACE charge density 0= 0• sin 0 cos? p, oo = = constant, 0, oi e spherical coordinate angles: 11. Find the total "Q" placed on a sphere of radius "R" centered on the originProblem 3 Consider a ring and a disk parallel to each other with their central axes along a common line. The disk, located at the origin (point O), has a uniform charge density σ =-5 nC/m² and radius Rdisk 11 m. The ring, located at x=d, has a uniform charge Gring -1 nc and radius Ring -9 m. The magnitude of the total electric field at the center of the ring (point A) is E-157 N/C Disk Ring d Ө Find the charge of the disk disk B Find the linear charge density of the ring Aring" Find the distance between the ring and the disk d= The total electric field vector Etat at x = d is in the direction. The total electric field vector Etotal at x=d+2 is in the direction. Find the electric field magnitude at point B located 9 m from point A, due to the ring only Ering 7. Find the electric field magnitude at x = 15 m from the origin, due to the disk only EdiskGiven a non-uiform VOLUME charge density p= ko T sin 0 cos p, ko = constant, r,6, o are spherical coordinate variables 13. Find the total "Q" placed inside a sphere radius "R"