Concept explainers
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
The
Answer to Problem 1OQ
Option (d)
Explanation of Solution
The point charge of
Write the formula to find the magnitude of displacement
Here,
Write the formula for electric field
Here,
Conclusion:
The displacement of the point charge in
The displacement of the point charge in
Substitute
The direction of the point charge displaced is
The
Substitute equation (II) in the above relation
Substitute
The
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Chapter 19 Solutions
Principles of Physics: A Calculus-Based Text
- A circular ring of charge of radius b has a total charge q uniformly distributed around it. Find the magnitude of the electric field in the center of the ring. (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) None of these answers is correct.arrow_forwardIs it possible for a conducting sphere of radius 0.10 m to hold a charge of 4.0 C in air? The minimum field required to break down air and turn it into a conductor is 3.0 106 N/C.arrow_forwardThree identical charges (q = 5.0 C.) lie along a circle of radius 2.0 m at angles of 30, 150, and 270, as shown in Figure P15.33 (page 524). What is the resultant electric field at the center of the circle? Figure P15.33arrow_forward
- A circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answersarrow_forwardA cylindrical shell of radius 7.00 cm and length 2.40 m has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Find (a) the net charge on the shell and (b) the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.arrow_forwardConsider a thin, spherical shell of radius 14.0 cm with a total charge of 32.0 C distributed uniformly on its surface. Find the electric field (a) 10.0 cm and (b) 20.0 cm from the center of the charge distribution.arrow_forward
- Consider the charge distribution shown in Active Figure 19.31. (i) What are the charges contributing to the total electric flux through surface S? (a) q1 only (b) q4 only (c) q2 and q3 (d) all four charges (e) none of the charges (ii) What are the charges contributing to the total electric field at a chosen point on the surface S? (a) q1 only (b) q4 only (c) q2 and q3 (d) all four charges (e) none of the charges Active Figure 19.31 The net electric flux through any closed surface depends only on the charge inside that surface. The net flux through surface S is ql/0, the net flux through surface S is (q2 + q3)/0, and the net flux through surface S is zero.arrow_forwardCharges of 3.00 nC, 2.00 nC, 7.00 nC, and 1.00 nC are contained inside a rectangular box with length 1.00 m, width 2.00 m, and height 2.50 m. Outside the box are charges of 1.00 nC and 4.00 nC. What is the electric flux through the surface of the box? (a) 0 (b) 5.64 102 N m2/C (c) 1.47 103 N m2/C (d) 1.47 103 N m2/C (e) 5.64 102 N m2/Carrow_forwardThree identical charges (q = 5.0 C.) lie along a circle of radius 2.0 m at angles of 30, 150, and 270, as shown in Figure P15.33 (page 524). What is the resultant electric field at the center of the circle? Figure P15.33arrow_forward
- A uniformly charged disk of radius 35.0 cm carries charge with a density of 7.90 10-3 C/m2. Calculate the electric field on the axis of the disk at (a) 5.00 cm, (b) 10.0 cm, (c) 50.0 cm, and (d) 200 cm from the center of the disk.arrow_forwardA 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.arrow_forwardFigure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49arrow_forward
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