Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to the a-axis. Sheet A has surface charge density o = +8.00 nC/m?. Sheet Bis 4.00 cm to the right of sheet A and has surface charge density oB = -5.00 nC/m?. Sheet C is 4.00 cm to the right of sheet B, so is 8.00 cm to the right of sheet A, and has surface charge density oc = +6.00 nC/m2. Part A What are the magnitude and direction of the resultant electric field at a point that is midway between sheets B and C, or 2.00 cm from each of thes two sheets? Express your answer in newtons per coulomb. Enter positive value if the field points in +x-direction and negative value if the field points in -x-direction. Vo AEO ? N/C
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- A charge q = 1 μC is located at the tip of a hollow cone (such as an ice cream cone without the ice cream) with surface charge density o = 6.4 μC/m². The slant height of the cone is L = 4 mm, and the half-angle at the vertex is 0: 10⁰. = L12 L/2 If the top half of the cone is removed and thrown away, what is the force (in Newton's) on the charge 9 due to the remaining part of the cone?The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.90 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 11.0R₁ and the (same) length L. The net charge on the rod is Q₁ +3.68 x 10-12 C; that on the shell is Q₂ = -2.30Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.30R₂? What are (c) E and (d) the direction at r = 5.20R₁? What is the charge on the (e) interior and (f) exterior surface of the shell? (a) Number UnitsAn infinite sheet charge of has a charge density of +44.81 pC/m2 and covers the entire x-y plane. A second infinite sheet of charge has a charge density of −53.2 pC/m2 covers the entire y-z plane. What is the magnitude of the electric field at any point not on either surface?
- An infinite sheet of charge with surface charge density o = -87 C/m? lives in the x-y plane. A thin rod of charge with length L = 13.0 cm is placed along the +z-axis that the end closest to the sheet is located a distance d = 2.0cm away from the sheet. When held at this position, the linear charge density of the rod can be described by K =az, where a = +35 nC/m. 1, What is the force F on the rod from the sheet? 2, Can you draw a picture to represent it?The figure shows a solid non-conducting sphere of radius a = 4.4 cm. It is surrounded by a charged conducting spherical shell of inner radius b = 15.3 cm and outer radius c = 24.8 cm. The inner sphere has a net charge of q1 = 9 nC and the conducting spherical shell has a net charge of q2 = -7 nC. a. What is the surface charge density on the inside surface of the spherical shell? b. What is the surface charge density on the outside surface of the spherical shell? c. What is the value of the electric field at a distance r = 58 cm from the centre of the spheres? Please use a negative value to indicate the electric field points toward the centre of the spheres and a positive value to indicate away from the centre of the spheres.A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius R₂ = 9.5 cm, as in ( Figure 1). Both cylinders are 15 m long and the inner one carries a total charge Q₁ = -0.68 nC and the outer one Q2 = +1.56 nC. Figure RR R₂ 1 of 1 Part A If an electron (m = 9.1 x 10-31 kg) escaped from the surface of the inner cylinder with negligible speed, what would be its speed when it reached the outer cylinder? Express your answers with the appropriate units. Ve= Submit Part B Up = Submit Value 0 μÅ If a proton (m = 1.67 x 10-27 kg) revolves in a circular orbit of radius R = 7.0 cm about the axis (i.e., between the cylinders), what must be its speed? Express your answers with the appropriate units. Request Answer Provide Feedback ī μA Value Units Request Answer wwww ? Units ?
- An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m². Another infinite sheet of charge with uniform charge density o2 = -0.29 µC/m² is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x = 18.5 cm). d a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? | µC/m² Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? V submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (40.25 cm, -18.5 cт)? N/C Submit R.Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to the x-axis. Sheet A has surface charge density σA = +2.00 nC/m2. Sheet B is 4.00 cm to the right of sheet A and has surface charge density σB = -5.00 nC/m2. Sheet C is 4.00 cm to the right of sheet B, so is 8.00 cm to the right of sheet A, and has surface charge density σC = +6.00 nC/m2. What are the magnitude and direction of the resultant electric field at a point that is midway between sheets B and C, or 2.00 cm from each of these two sheets? Express your answer in newtons per coulomb. Enter positive value if the field points in +x-direction and negative value if the field points in −x-direction.A thin, copper washer of inner radius R = 54.0 mm and width d = 27.0 mm carries a unformly distributed total charge Q-9.00 nC. Determine the z-component of the electric field, Ez, due to the washer at a distance z = 12.0 cm along the washer's symmetry axis. Ez = -7.99 ×104 Incorrect N/C y Z
- = The figure is a section of a conducting rod of radius R₁ = 1.50 mm and length L = 12.80 m inside a thin-walled coaxial conducting cylindrical shell of radius R₂ = 13.0R₁ and the (same) length L. The net charge on the rod is -12 Q₁ +3.46 × 10 C; that on the shell is Q₂ = -2.21Q₁. What are the (a) magnitude E and (b) direction (radially inward or outward) of the electric field at radial distance r = 2.17R₂? What are (c) E and (d) the direction at r= 5.06R₁? What is the charge on the (e) interior and (f) exterior surface of the shell?Two very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities 01, 02, 03 and 04 on their surfaces, as shown in the following figure.These surface charge densities have the values o1 = -5.30 µC/m2, o2-5.00µC/m2, o3 = 2.90 µC/m2, and 04-4.00μC/m2. Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets. Part A: What is the magnitude of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? Express your answer to three significant figures and include the appropriate units.Four solid plastic cylinders all have radius 2.55 cm and length 6.48 cm. Find the charge of each cylinder given the following additional information about each one. Cylinder (a) carries charge with uniform density 15.8 nC/m² everywhere on its surface. Cylinder (b) carries charge with uniform density 15.8 nC/m² on its curved lateral surface only. Cylinder (c) carries charge with uniform density 525 nC/m3 throughout the plastic. Cylinder (d) carries charge with uniform linear density 54.2 nC/m along the length of the plastic.