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GO The box-like Gaussian surface shown in Fig. 23-38 encloses a net charge of +24.0ε0 C and lies in an electric field given by
Figure 23-38 Problem 16.
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- A ring shaped conductor with a radius 3.00 cm has a uniform charge density of -120.0 nC/m and it lies on a horizontal table top. Find the magnitude and direction of the electric field it produces at a point 4.50 cm directly above its center. (p = 8.85 x 10-12 c²/Nm2, k = 9.00 x 109 Nm²/C²) 3.07 x 105 N/C, vertically downward 3.07 x 105 N/C, vertically upward 5.33 x 105 N/C, vertically downward 1.00 x 105 N/C, vertically upward 5.79 x 104 N/C, vertically downward 5.79 x 104 N/C, vertically upward 5.33 x 105 N/C, vertically upward 1.00 x 105 N/C, vertically downwardarrow_forwardCharge is uniformly distributed around a ring of radius R = 2.40 cm, and the resulting electric field magnitude E is measured along the ring’s central axis (perpendicular to the plane of the ring). At what distance from the ring’s center is E maximum?arrow_forward8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has (within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?arrow_forward
- 8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has (within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm? | 9+ barrow_forwardA solid sphere of radius R has a charge density, given by p(r)=p|-1= where r is the radial coor- R dinate and po,a and R are positive constants. If the magnitude of the electric field at r=R/2 is 1.25 times that at r = R, then the value ofa is (a) 2 (b) 1 ()arrow_forwardIf a solid conducting sphere of radius 50.0 cm carries a total charge of 150 nC uniformly distributed throughout its volume. Find the (a) charge density of the sphere and (b) the magnitude of the electric field at r = 10 cm.arrow_forward
- 49 In Fig. 23-54, a solid sphere of radius a = 2.00 cm is concentric with a spherical conducting shell of inner ra- dius b = 2.00a and outer radius c= 2.40a. The sphere has a net uniform charge q = +5.00 fC; the shell has a net charge q2 = -q1. What is the mag- nitude of the electric field at radial distances (a) r = 0, (b) r = al2.00, (c) T= a, (d) r = 1.50a, (e) r = 2.30a, and (f) r = 3.50a? What is the net charge on the (g) inner and (h) outer surface of the shell? Figure 23-54 Problem 49.arrow_forwardA solid conducting sphere, which has a charge Q1 =84Q and radius rg = 1.5R is placed inside a very thin spherical shell of radius rp = 3.4R and charge Q2 =15Q as shown in the figure below. Q2 Tb Q1 ra Find the magnitude of the electric field at r=6.2. Express your answer using one decimal point in units 1 where k = 4περ of karrow_forwardFigure 22-34 shows an uneven arrångement of electrons (e) and protons (p) on a circular arc of radius r = 2.00 cm, with angles O = 30.0°, 2 = 50.0°, and 64 = 20.0°. What are the (a) magnitude and (b) direction (rela- tive to the positive direction of the x axis) of the net electric field pro- Fig. 22-34 duced at the center of the arc? O = 30.0°, P. 04 e Problem 12.arrow_forward
- (a) A conducting sphere has charge Q and radius R. If theelectric field of the sphere at a distance r = 2R from the center of thesphere is 1400 N/C, what is the electric field of the sphere at r = 4R?(b) A very long conducting cylinder of radius R has charge per unitlength l. Let r be the perpendicular distance from the axis of the cylinder.If the electric field of the cylinder at r = 2R is 1400 N/C, whatis the electric field at r = 4R? (c) A very large uniform sheet of chargehas surface charge density s. If the electric field of the sheet has a valueof 1400 N>C at a perpendicular distance d from the sheet, what is theelectric field of the sheet at a distance of 2d from the sheet?arrow_forwardA sphere of radius 5.00 cm carries charge +3.00 nC. Calculate the electric-field magnitude at a distance 4.00 cm from the center of the sphere and at a distance 6.00 cm from the center of the sphere if the sphere is (a) a solid insulator with the charge spread uniformly throughout its volume and (b) a solid conductor.arrow_forwardOn the x-y plane, a point charge Q = –4.35E-6 C is placed at the origin (0.00 m, 0.00m). The electric field at (x,y) = (2.40 m, 3.20 m) is measured to be Q = Ex + Ey . What is the electric field's y componentEy (in N/C)?arrow_forward