If S = (0,0, - V in spherical polar coordinates is a vector potential of v, then T sin 0 O V. • V =0 and v = Curl(S). O S = V x v and V. S = 0 O v= V.S and V x v = 0, where 0 is a zero vector. O None of these.
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Q: 51 Go In the rectangle of Fig. 24- 55, the sides have lengths 5.0 cm and 15 cm, q₁ = : +2.0 -5.0 μC,…
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Q: Immediately outside a conducting sphere of unknown charge Q and radius R the electric potential is…
A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you.…
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Q: 91=+12.04€ 4.0 см 92=-50μC b 93=-16.0nc 5.0cm 491=1000c 19 5,0cm b 92=10000 93=+8₁9uc 4.am P P What…
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- Suppose we have an electric potential that is a function of z and the distance in the transverse plane, Vx2 + y?. In other words, o → ¢(rl,z). Show that the gradient can be written V¢ = dz Similarly, suppose we have a potential that is purely a function of the distance, r = from the origin. Show that the gradient can be written Vx2 + y2 + z², Vø = ar= In the figure point P is at the center of the rectangle. With V = 0 at infinity, q₁ = 5.90 fC, 92 - 4.09fC, 93 = 4.83 fC, and d = 3.38 cm, what is the net electric potential in volts at P due to the six charged particles? Number i Units +9₁ +93 •P -92 -d ·d -93 +91Immediately outside a conducting sphere of unknown charge Q and radius R the electric potential is 180 V, and 10.0 cm further from the sphere, the potential is 120 V. (a) Determine the radius R of the sphere (in cm). cm (b) Determine the charge Q on the sphere (in nC). nC (c) The electric potential immediately outside another charged conducting sphere is 200 V, and 10.0 cm farther from the center the magnitude of the electric field is 450 V/m. Determine the radius (in cm) of any sphere for which this is possible. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.) R, = cm R2 cm (d) Determine the charge on the sphere (in nC) for each value of R. (If only one value exists, enter "NONE" in the second answer blank.) nC 91 92 nC
- What is the electric potential at point P, located at the cen- ter of the square of charged particles shown in Fig. 24-11a? The distance d is 1.3 m, and the charges are 91 = +12 nC, I3 = +31 nC, •P 2 = -24 nC, 94 = +17 nC. 93 4Immediately outside a conducting sphere of unknown charge Q and radius R the electric potential is 240 V, and 10.0 cm further from the sphere, the potential is 140 V. (a) Determine the radius R of the sphere (in cm). cm (b) Determine the charge Q on the sphere (in nC). nC (c) The electric potential immediately outside another charged conducting sphere is 260 V, and 10.0 cm farther from the center the magnitude of the electric field is 380 V/m. Determine the radius (in cm) of any sphere for which this is possible. (Enter your answers from smallest to largest. If only one value exists, enter "NONE" in the second answer blank.) R1= cmR2= cm (d) Determine the charge on the sphere (in nC) for each value of R. (If only one value exists, enter "NONE" in the second answer blank.) q1= nCq2= nCQ3) Find the potential u(r, 9) inside a ring 13) An electric dipole is made of two charges of equal magnitudes and opposite signs. The positive charge, q = 5.98 nC, is located at the point (x, y, z) = (0.00 cm, 14.0 cm, 0.00 cm), while the negative charge is located at the point (x, y, z) = (0.00 cm, -28.0 cm, 0.00 cm). How much work will be done by an electric field É= (12.3 × 105 N/C) i to bring the dipole to its stable equilibrium position? %3D•37 SSM What is the magnitude of the electric field at the point (3.00î – 2.00j + 4.00k) m if the electric potential in the region is given by V = 2.00xyz?, where V is in volts and coordinates x, y, and z are in meters?Three point-like charges are placed at the following points on the x-y system coordinate qi is fixed at x = -3.00 m, 92 is fixed at x+3.00 m, and ga is fixed at the origin of the system coordinate. Find the electric potential at y - -2.00 m. Let q -3.00 uC, and qa= -5.20 4. µC, and q3 = -8.90 µC. =E + a) -2.46 x 10 V b) -6.05 x 10* V Ey: Eny-Esy=0 c) 1.96 x 10 V -S.aul d) -3.45 x 10 V e) 6.46 x 10 VIn Figure, three thin plastic rods form quarter-circles with a common center of curvature at the origin. The uniform charges on the three у (ст) 4.0| rods are Qu=+30 nC, Q2=+3.0Q1, and Q3=-8.00Q1. What is the net electric potential (in volts) at the origin due to the rods? Q2 Qs 2.0 1.0 Option5 -1.4 x 10* 1.4 × 10* | 3.4 × 10* -3.4 × 10* 4.4 × 10* Option1 Option2 Option3 Option4 x (ст)5 Figure 24-28 shows three paths along which we can move the posi- tively charged sphere A closer to positively charged sphere B, which is held fixed in place. (a) Would sphere A be moved to a higher or lower electric potential? Is the work done (b) by our force and (c) by the electric field due to B positive, negative, or zero? (d) Rank the paths according to the work our force does, greatest first. ве Figure 24-28 Question 5.The figure shows two points A and B in a uniform electric field of magnitude 1200 N/C. A• 7.0 cm (a) The electric potential at A is –12 V. Find the electric potential at B. -6 g from point A at 13 m/s. The particle passes through point B (b) You launch a charged particle of mass 1.5 × 10 3.7 ms later. Find the particle's charge. 3.0cmSEE MORE QUESTIONS