Solution HW1Q6-by: write your full name here Page 12 of 18 7. What is the electric potential at the point indicated with the black dot in the figure? q₁3.0 nC; 92 -2.0 nC; qs 3.0 nC; z-3.0 cm and y= 5.0 cm. x (cm) y(CH) Solution HW1Q7-by: write your full name here
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- A conducting spherical shell of radius R and zero thickness is held at a potential V (0) = V, sin* (0). а. Determine the potential produced by the sphere everywhere. b. Determine the electric field produced by the sphere everywhere. C. Determine the surface charge density on the sphere.1. What is a correct expression for the potential energy of the charge configuration illustrated below? Assume the sphere (of radius R) is uniformly charged. C b 92 kQq kQq, kq,q, А. + + R+а R+b kQq kQq, kq 42 + В. (R+а)? (R+b)? kQq,, kQq, , kq,q, C. + + b a kQq D. a? kq 92 + kQq,, kQq, + ? a Е.particle of charge = 7uC is located on the -axis at the point = 5.1 cm. A second particle of charge = -4uC is placed on the -axis at = -3.4 cm. Take Coulomb's constant k as. Calculate the net electric potential at the origin. O A. -2240000 O B. None of the other three options OC. 204000 O D. -2640000
- Find the potential at point P₂ in the diagram due to the two given charges. + +5 mC 4 cm- P₁ T 3 cm 2 cm 3 cm O a. 900MV O b. 0.8GV O C. -900MV O d. -4GV P3 4 cm- m 2 cm P2₂ -10 MC ←2. The magnitude of the electric field at x= +20.0 cm from an infinitely charged plane, located on the y-z plane, is 1.7 x 10³ N/C i. A) What is the charge density on the plane? B) What is the electric potential at x = +20.mem? %3DA uniform external electric field points to the right. An electron ( me = 9.11E[-31]kg; qe = –1.602 E[–19]C) is place in the field and fired to the right at v¡ 100, 000m/s. a. Draw a picture of the situation b. The electron will eventually come to a stop. What is the change in potential between the electron's starting point and its stopping point? Remember to submit a pdf of your work on this problem to the Moodle assignment listed in the instructions. Also, answer True for this question.
- Consider an infinite line charge with a linear charge density A. The potential difference Vab where points a and b are ra and r, distances away from the line charge respectively, is given by A. Vab 27co (1-). Ta 1 B. Vab = 2TEo ro Ta C. Vab = Ta D. Vab = In E. Vab = ra InQ1. What is the electric potential of a dipole on the y-axis at large distances? 1 qd 1 qd (c) V = 2nɛ, r? 1 qd 4πε r (a) V = 0 (b) V = (d) V = 2πε, r y Q2. Find the monopole term in the multi-pole expansion of the electric potential on the z- axis for a flat circular charged disk of radius R and charge density o (r,q) = krʻ cosʻ q, where k is a constant and r, q are polar coordinates with the origin at the disk's centre.Q-2: Two concentric conducting spherical shells of radii r¡ and r, > rz. The inner shell carries a charge +Q while the outer shell carries a charge +2Q as shown. Assuming V = 0 as r → ∞, Calculate: a. The electric field vectors: E1(r r2) b. The electric potentials: V, (r r2) c. The electric potential difference between the two shells: AV
- 3. A thin circular ring has a radius R and charge3 Q distributed uniformly over its length. What is the electric potential at the center of the ring? Hint: this is very easy since every point on the ring is the same distance from the center. Therefore you don't need to integrate. а. 3Q, R b. What is the electric potential at a distance z along the axis of the thin ring? Comment: each point on the ring is still the same distance from point P. 3Q, R9. An electron has been placed at the origin. The grid spacing is 1 Angstrom per small square this time. Now you have a nucleus with 12 protons at x = 4.0 Angstroms on the x-axis. What is the value of the electrostatic potential V at a point on the positive y-axis, at y = 7.1 Angstroms? 21.2 V 11.5 V 19.2 V -2.0 V