College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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If the plane x = 4 m is an equipotential surface, in which of the following directions can the electric field be in the region immediately adjacent to this plane?
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- The metal conductor (shaped like a “C”) is positively charged. (Assume this is a cross-section of a conductor.) a) Sketch the electric field lines (solid arrows) and equipotential lines (dotted) around this conductor. Do at least 3 equipotential lines. Be sure to fill in the electric field lines all around the conductor; pay special attention to the area between the arms of the “C”. Be sure to extend the electric field arrows that start there long enough so that they go out beyond the arms. b) If you were drawing equipotential lines very very far from the “C”, what shape would they look like? c) Describe the electric field INSIDE the conductor (the shaded part (colored blue if you can see the color)). d) We don’t have an equation to calculate the potential around this shape of conductor, but we can qualitatively compare values. Which of your 3 equipotential lines would be at the higher potential? (Which is the higher voltage?) The one closest to the conductor, in the middle, or…arrow_forwardShow that the force on each plate of a parallel plate capacitor has a magnitude equal to (½) QE, where Q is the charge on the capacitor, and E is the magnitude of electric field between the plates. Explain the origin of the factor ½.arrow_forwardA charged ring with charge Q = 644 nC and radius R=0.67 m is placed in a tank of water. What is the electric field at the point z = 0.085 m above the midpoint of the ring, if the dielectric constant of water is 80.4? Answer in N/C and round your answer to have one digit after the decimal. Water 20 °C K = 80.4 Your Answer: Answerarrow_forward
- A charge of 3 μC is uniformly distributed along a filament of length 60 cm. What is the electric field at a point 30 cm from one of the ends along the filament direction?arrow_forwardA spherical capacitor consists of two concentric spherical conducting thin shells. The inner shell has radius 10.0 cm and carries negative free charge −10.0 nC. The outer shell has radius 20.0 cm and carries positive free charge +10.0 nC. The space between the shells is filled with a dielectric material of dielectric constant K = 3.00. Find the electric field energy density at a point 15.0 cm from the center of the shells. A. B. C. D. E. 70.7 µJ/m³ 212 µJ/m³ 2.62 µJ/m³ 7.85 µJ/m³ 23.6 µJ/m³ 3arrow_forwardThe figure below shows three charges at the corners of a rectangle of length x = 0.65 m and height y = 0.42 m. What is the minimum amount of work needed by an external force to move the +2.7 µC charge to infinity?arrow_forward
- Use Gauss' s law to derive the formula for an electric field E at a point charge q, draw the point charge, the E field lines, and the equipotential voltage surfaces V1, V2, V3.arrow_forwardAn alpha particle with kinetic energy 11.0 MeV makes a head-on- collision with a lead nucleus at rest. What is the distance of closest approach of the two particles? (Assume that the lead nucleus remains stationary and that it may be treated as a point charge. The atomic number of lead is 82. The alpha particle is a helium nucleus, with atomic number 2.)arrow_forward4) (a)Using the Gauss law find the electric field of an infinite conductor plane with charge density o. (b)Using the result in part (a) calculate the capacitance of a capacitor made of two conducting plane of 2 m2 area and with charge density o = 9.6 C/m² and these conducting planes are separated with a distance 0.1 mm and there is Aluminium oxide as the dielectric between two plates. IF NEEDED *Take gravitational constant g=10 m/s.arrow_forward
- An electric dipole consisting of charges of magnitude 4.70 nC separated by 8.20 um is in an electric field of strength 1100 N/C. What are (a) the magnitude of the electric dipole moment and (b) the difference between the potential energies for dipole orientations parallel and antiparallel to E ? (a) Number i Units (b) Number i Unitsarrow_forwardA 4 μF parallel-plate capacitor with a dielectric has a charge of 42 μC on each plate. The distance between the plates is 0.007 m and the dielectric constant is 153. Determine the area of each plate and the E-field between the plates. A = E =arrow_forwardConsider the equipotential map shown below. Estimate the magnitude of the E-field at point A. What direction is the E-field at point A? Rank the points A, B, and C in terms of their E-field strength. Sketch the electric field lines. What is the sign of the charge (+ or −) within the 30 V equipotential?arrow_forward
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