Chapter 21, Problem 62P

Why is the following situation impossible? A solid copper sphere of radius 15.0 cm is in electrostatic equilibrium and carries a charge of 40.0 nC. Figure P24.30 shows the magnitude of the electric field as a function of radial position r measured from the center of the sphere. Figure P24.30

Charges 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/C

In the figure what are the (a) magnitude and (b) direction of the net electrostatic force on particle 4 due to the other three particles? All four particles are fixed in the xy plane, and q₁ = - 3.20 x 10-19 C, q2 = + 3.20 x 10-19 C, q3 = + 6.40 x 10-19 C, 94 +3.20 x 10-1⁹ C,0₁ = 30.0 degrees, d₁ = 3.00 cm, and d2d3 = 2.00 cm.

In the figure what are the (a) magnitude and (b) direction (from x-axis in the counterclockwise direction) of the net electrostatic force on particle 4 due to the other three particles? All four particles are fixed in the xy plane, and q- -30.40 x 1019 C, a2 +30.40 x 1019 C, q +60.80 x 101 C, g4 = +30.40 x 1019 c, e,- 38°, d- 6.30 cm, and dy - dy- 4.10 cm.

In the figure what are the (a) magnitude and (b) direction (from x-axis in the counterclockwise direction) of the net electrostatic force on particle 4 due to the other three particles? All four particles are fixed in the xy plane, and q₁ = -12.80 x 10-19 C, q2 = +12.80 × 10-1⁹ C, 93=+25.60 x 10-19 C, q4=+12.80 x 10-19 C, 0₁ = 41°, d₁ = 5.40 cm, and d2 = d3 = 3.40 cm. da 12 de ex 3

In the figure what are the (a) magnitude and (b) direction (from x-axis in the counterclockwise direction) of the net electrostatic force on particle 4 due to the other three particles? All four particles are fixed in the xy plane, and q₁-14.40 x 10 19 C, 92= +14.40 × 10-1⁹ C.93=+28.80 x 10-19 C. 94 +14.40 x 10-19 C, 0₁ = 380,d₁ = 4.90 cm, and d₂ = d3 - 3.70 cm. (a) Number (b) Number Units Units dy

In the figure what are the (a) magnitude and (b) direction (within [0°,360°) range) of the net electrostatic force on particle 4 due to the other three particles? All four particles are fixed in the xy plane, and q₁ = -3.20 x 10-1⁹ C, q2 = + 3.20 x 10-1⁹ C, 93=+6.40 x 10- 1⁹ C, 94 = + 3.20 x 10-1⁹ C, 0₁ = 30.0 degrees, d₁ = 3.00 cm, and d₂ = d3 = 2.00 cm. da (a) Number 4 de 3 6.17E-24 (b) Number i 27.134 Units N Units *(degrees)

The figure shows an arrangement of four charged particles, with angle 0 = 30.0° and distance d = 1.50 cm. Particle 2 has charge q2 = 8.00 × 10-¹⁹ C; particles 3 and 4 have charges 93 94 = -4.80 × 10-19 C. (a) What is the distance D between the origin and particle 2 if the net electrostatic force on particle 1 due to the other particles is zero? (b) If particles 3 and 4 were moved closer to the x axis but maintained their symmetry about that axis, would the required value of D be greater than, less than, or the same as in part (a)? 1 (a) Number i (b) less d 3 4 D 2 Units

The figure shows an arrangement of four charged particles, with angle 0 = 31.0 ° and distance d = 3.00 cm. Particle 2 has charge 92 = 6.40 × 10-19 C; particles 3 and 4 have charges q3 = 94 = -1.60 × 10-19 C. (a) What is the distance D between the origin and particle 2 if the net electrostatic force on particle 1 due to the other particles is zero? (b) If particles 3 and 4 were moved closer to the x axis %3D %3D but maintained their symmetry about that axis, would the required value of D be greater than, less than, or the same as in part (a)? 3 D 4