A uniform electric field is oriented in the -z direction. The magnitude of the electric field is 6500 N/C. (a) How will the equipotential surfaces associated with this electric field be oriented? O parallel to the xy plane O parallel to the xz plane O parallel to the yz plane (b) Consider two of the equipotential surfaces; one with a potential of 13 V and the other with a potential of -20 V. What is the separation between these two surfaces? 0.00108 How is electric field related to the potential difference across a certain distance? mm
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- A parallel plate capacitor has a capacitance of 2.00 μF and plate separation of 1.60 mm. How much potential difference can be placed across the capacitor before dielectric breakdown of air occurs (Emax = 3 × 106 V/m)? Answer in kV. What is the magnitude of the greatest charge the capacitor can store before breakdown? Answer in mC.Chapter 25 Q178: Three circular, nonconducting arcs of radius R = 3 cm.The charges on the arcs are q1 = 5 pC, q2 = 10 pC , q3 = 15 pC. With V = 0 at infinity, what is the net electric potential of the arcs at the common center of 45.0/ 45.0° curvature? R 93 92In the region shown in the image, there is a uniform electric field of magnitude 56.9 N/C which points in the positive y‑direction. Points 2, 3, and 4 are all 0.623 m away from point 1, and the angle ?=46.4°. Calculate the following potential differences Vi−Vj, where i and j indicate the numbered points. V2−V1=? V3−V1=? V4−V1=? V2−V4=?
- In the region shown in the image, there is a uniform electric field of magnitude 52.5 N/C which points in the negative x‑direction. Points 2, 3, and 4 are all 0.245 m away from point 1, and the angle ?=46.4°. Calculate the following potential differences Vi−Vj, where i and j indicate the numbered points. V2−V1= V3−V1= V4−V1= V2−V4=Two conducting concentric spherical shells have radii a = 0.165 m and b = 0.24 m. Part (a) If the charge in the inner sphere is +Q = 3 µC, the outer sphere -Q = -3 µC, calculate the electric potential difference△V between the outside and the inside conductors in V.A capacitor consists of two large flat parallel plates. One plate has surface charge density 4.96 nC/m2 and the other has an equal but opposite surface charge density. The plates are spaced a distance 8.01 cm apart. Give the magnitude of the voltage (difference in electric potential) between the two plates. Answer in units of V.
- The potential in a region of space due to a charge distribution is given by the expression V = ax?z + bxy - cz? where a = -4.00 V/m3, b = 7.00 V/m2, and c = 4.00 V/m2. what is the electric field vector at the point (0, -9.00, -8.00) m? Express your answer in vector form. E = 63i + 64k Note that the potential is a function of three variables. Review rules for partial differentiation. V/mA spherical conductor whose center is at point O and radius R = 20 cm, is given a charge Q = + 100 μC a. Calculate the electric potential at points A and B if the distance OA = 30 cm and the distance OB = 45 cm. b. How much work is required to move an electron from point A to point B?A 2.00 nC charge is placed on the x-axis at x = -3.00 cm, another 2.00 nC charge is placed on the x-axis at x = 3.00 cm, and a third 2.00 nC charge is placed on the y-axis at y = 3.00 cm. What is the potential at the origin? %3D 2700 V 3600 V 5400 V O 1800 V O 108 V
- Еход In an Oxy plane, we for Charge + 1.μC at the charge a Particle A with a Particle B with origin +2μC at (x = 4m, yzom), a particle c with charge -3μ6 at (x = 4m, y=3m) and a Particle & with charge - teμe at (x=0m, y z 3m). Determine the electric potential at the location, where particle D os y DQ found. A① BD 3m ' 1 B 2 3The electric potential at points in an xy plane is given by V= (1.70 V/m²)x² -(3.00 V/m²)y2. What are (a) the magnitude of the electric field at the point (2.90 m, 1.60 m) and (b) the angle that the field there makes with the positive x direction. (a) Number i (b) Number i Units UnitsConsider two separate systems with four charges of the same magnitude q = 16 µC arranged in the vertexes of a square of length h = 35 cm, see the picture below. Calculate the electric potential at the center of the square (points A and C) and at the middle of the bottom side of the square (points B and D). y y h h А. C. h В D b- The potential at point A, VA = 2320457.1x Units v The potential at point B, Vg = 2378380.8 Units V The potential at point C, Vc = 0 Units V The potential at point D, V, = -908380.8: Units v How much work is required to move a -12 µC charge from point A to point B? The work required, WAs =|-0.7349 X Units J How much work is required to move a -12 µC charge from point C to point D? The work required, Wc-o = 10.90 Units J