The electric field is measured at locations on every surface of a rectangular box oriented with its long side on the x-axis, as shown in the diagram. The width w of the box is 6 cm, the height h of the box is 3 cm, and the depth d of the box is 2 cm. On the bottom of the box the electric field is found to be - < 50, 40, 0 > N/C. On every other surface of the box (front, back, top, left end, right end) the electric field is found to be E2-< 140, 112, 0 > N/C. (For cdarity, the electric field on the front and back faces has not been shown in the diagram.) What is the unit vector n on the bottom face of the box? n- <0, – 1,0> What is the electric flux on the bottom face of the box? Opottom " 048 V-m What is the electric flux on the top face of the box? x V-m What is the electric flux on the left face of the box? Pieft x V-m What is the electric flux on the right face of the box? Pnght = × V-m What is the electric flux on the front face of the box? Otront -0 v V-m What is the electric flux on the back face of the box? Oback - 0 V-m How much charge is inside the box (amount and sign)? Qinside ]x c

The electric field is measured at locations on every surface of a rectangular box oriented with its long side on the x-axis, as shown in the diagram. The width w of the box is 6 cm, the height h of the box is 3 cm, and the depth d of the box is 2 cm. On the bottom of the box the electric field is found to be - < 50, 40, 0 > N/C. On every other surface of the box (front, back, top, left end, right end) the electric field is found to be E2-< 140, 112, 0 > N/C. (For cdarity, the electric field on the front and back faces has not been shown in the diagram.) What is the unit vector n on the bottom face of the box? n- <0, – 1,0> What is the electric flux on the bottom face of the box? Opottom " 048 V-m What is the electric flux on the top face of the box? x V-m What is the electric flux on the left face of the box? Pieft x V-m What is the electric flux on the right face of the box? Pnght = × V-m What is the electric flux on the front face of the box? Otront -0 v V-m What is the electric flux on the back face of the box? Oback - 0 V-m How much charge is inside the box (amount and sign)? Qinside ]x c

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter25: Electric Potential

Section: Chapter Questions

Problem 25.52P: Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which...

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A thin conducing plate 2.0 m on a side is given a total charge of 10.0C . (a) What is the electric field 1.0 cm above the plate? (b) What is the force on an electron at this point? (c) Repeat these calculations for a point 2.0 cm above the plate. (d) When the electron moves from 1.0 to 2.0 cm above the plate, how much work is done on it by the electric field?
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
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A proton is fired from very far away directly at a fixed particle with charge q = 1.28 1018 C. If the initial speed of the proton is 2.4 105 m/s, what is its distance of closest approach to the fixed particle? The mass of a proton is 1.67 1027 kg.
Consider the electric dipole shown in Figure P19.20. Show that the electric field at a distant point on the + x axis is Ex 4 keqa/x3.
The dome of a Van de Graaff generator receives a charge of 2.0 104 C. Find the strength of the electric field (a) inside the dome, (b) at the surface of the dome, assuming it has a radius of 1.0 m, and (c) 4.0 in front the center of the dome. Hint: See Section 15.5 to review properties of conductors in electrostatic equilibrium. Also, note that the points on the surface are outside a spherically symmetric charge distribution; the total charge may be considered to be located at the center of the sphere.
Lightning can be studied with a Van de Graaff generator, which consists of a spherical dome on which charge is continuously deposited by a moving belt. Charge can be added until the electric field at the surface of the dome becomes equal to the dielectric strength of air. Any more charge leaks off in sparks as shown in Figure P25.52. Assume the dome has a diameter of 30.0 cm and is surrounded by dry air with a "breakdown" electric field of 3.00 106 V/m. (a) What is the maximum potential of the dome? (b) What is the maximum charge on the dome?
A point charge of 4.00 nC is located at (0, 1.00) m. What is the x component of the electric field due to the point charge at (4.00, 2.00) m? (a) 1.15 N/C (b) 0.864 N/C (c) 1.44 N/C (d) 1.15 N/C (e) 0.864 N/C
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(a) Find the electric field at x = 5.00 cm in Figure 18.52 (a), given that q = 1.00 C. (b) at what position between 3.00 and 8.00 cm is the total electric field the same as that for ? 2q alone? (c) Can the electric field be zero anywhere between 0.00 and 8.00 cm? (d) At very large positive or negative values of x, the electric field approaches zero in both (a) and (b). In which does it most rapidly approach zero and why? (e) At what position to the light of 11.0 cm is the total electric field zero, other than at infinity? (Hint: A graphing calculator can yield considerable insight in this problem.)
An electron with a speed of 3.00 106 m/s moves into a uniform electric field of magnitude 1.00 103 N/C. The field lines are parallel to the electrons velocity and pointing in the same direction as the velocity. How far does the electron travel before it is brought to rest? (a) 2.56 cm (b) 5.12 cm (c) 11.2 cm (d) 3.34 m (e) 4.24 m