Given: A conducting spherical shell with radius 15.0 cm carries a net charge of -6.40μ C uniformly distributed on its surface. a) Find the magnitude and direction of the electric field at a radial distance of 12.0 cm. b) Find the magnitude and direction of the electric field at a radial distance of 20.0 cm
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Given: A conducting spherical shell with radius 15.0 cm carries a net charge of -6.40μ C uniformly distributed on its surface.
a) Find the magnitude and direction of the electric field at a radial distance of 12.0 cm.
b) Find the magnitude and direction of the electric field at a radial distance of 20.0 cm.
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- The figure below shows a small, charged bead, with a charge of q = +41.0 nC, that moves a distance of d = 0.174 m from point A to point B in the presence of a uniform electric field E of magnitude 255 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection (b) What is the work (in J) done on the bead by the electric force as it moves from A to B? J (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) PEB − PEA = J (d) What is the potential difference (in V) between A and B? VB − VA = VA solid sphere of radius 40.0 cm has a total positive charge of 25.0 µC uniformly distributed throughout its volume. Calculate the magnitude of the electric field at the following distances. (a) 0 cm from the center of the sphere kN/C(b) 10.0 cm from the center of the sphere kN/C(c) 40.0 cm from the center of the sphere kN/CA square conducting plate 54.0 cm on a side and with no net charge is placed in a region, where there is a uniform electric field of 75.0 kN/C directed to the right and perpendicular to the plate. (a)Find the charge density (in nC/m2) on the surface of the right face of the plate. b)Find the charge density (in nC/m2) on the surface of the left face of the plate. (c)Find the magnitude (in nC) of the charge on either face of the plate.
- An unknown charge sits on a conducting solid sphere of radius 9.5 cm. If the electric field 13 cm from the center of the sphere has magnitude 4.3 × 103 N/C and is directed radially inward, what is the net charge on the sphere?y 0| X The positive charge Q is evenly distributed on the y-axis between y = 0 and y = a. Find the y- component of the electric field vector at a distance x from the origin on the positive x-axis.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.
- Two small balls with charges q1 = 2.4 μC and q = -15.2 μC are separated by a distance d = 5.0 cm. Calculate the electric flux passing through the following three surfaces: a)A spherical surface of radius 1.6 cm centered on the first charge. b)A spherical surface of radius 18 cm centered on the second charge. c) A spherical surface of radius 1.1 cm centered at the midpoint of a line connecting them.Suppose the conducting spherical shell in the figure below carries a charge of 2.80 nC and that a charge of -2.40 nC is at the center of the sphere. If a = 1.80 m and b = 2.30 m, find the electric field at the following. XAX magnitude direction + 7 b a (a) r= 1.50 m magnitude 9.6 direction radially inward (b) r2.20 m 0 (c) r= 2.50 m magnitude 0.576 direction Ⓡ radially outward N/C ✔ N/C The magnitude is zero. ✔ v ✔ N/C (d) What is the charge distribution on the sphere? inner surface outer surface x Your response differs from the correct answer by more than 100 %. nC nC DThe figure below shows a small, charged bead, with a charge of q = +42.0 nC, that moves a distance of d = 0.189 m from point A to point B in the presence of a uniform electric field E of magnitude 270 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection (b) What is the work (in J) done on the bead by the electric force as it moves from A to B? J (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) PEB − PEA = J (d) What is the potential difference (in V) between A and B? VB − VA = V