In the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y2 = -8.76 cm and y4 = 4.38 cm. Particles 1 and 3, of charge - e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.76 cm and particle 3 is at x=8.76 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force F net on particle 5 by 30* counterclockwise? (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original direction?
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- Problem 12: A uniformly charged rod of length L = 1.4 m lies along the x-axis with its right end at the origin. The rod has a total charge of Q = 8.2 μC. A point P is located on the x-axis a distance a = 1.8 m to the right of the origin. Part (a) Consider a thin slice of the rod of thickness dx located a distance x away from the origin. What is the direction of the electric field at point P due to the charge on this thin slice of the rod? Part (b) Write an equation for the electric field dE at point P due to the thin slide of the rod dx. Give your answers in terms of the variables Q, L, x, a, dx, and the Coulomb constant, k. Notice that the coordinate x will be less than zero over the length of the rod. Part (c) Integrate the electric field contributions from each slice over the length of the rod to write an equation for the net electric field E at point P. Part (d) Calculate the magnitude of the electric field E in kilonewtons per coulomb (kN/C) at point P due to the charged…A positively charged particle Q1 = +45nC is held fixed at the origin. A second charge Q2 of mass m = 3.5 μg is floating a distance d = 15 cm above charge Q1. The net force on Q2 is equal to zero. The system is close to the surface of Earth. Calculate the magnitude of Q2 in units of nanocoulombs.B6
- In the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y2 = -8.06 cm and y4 = 4.03 cm. Particles 1 and 3, of charge - e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x₁ = -8.06 cm and particle 3 is at x3 = 8.06 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force net on particle 5 by 30* (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original counterclockwise? direction? (a) Number i (b) Number i Units Units m m 3You hold a ruler that has a charge on its tip 4.00 cm above a small piece of tissue paper to see if it can be picked up. The ruler has −10.0 µC of charge. The tissue has 1.00 g of mass. What is the minimum charge required to pick up the tissue paper?Particle A of charge 3.00 x 10-4 C is at the origin, particle B of charge -6.00 x 10-4 C is at (4.00 m, 0), and particle C of charge 1.00 x 10-4 C is at (0, 3.00 m). (a) What is the x-component of the electric force exerted by A on C ? (b) What is the y-component of the force exerted by A on C ? (c) Find the magnitude of the force exerted by B on C. (d) Calculate the x-component of the force exerted by B on C. (e) Calculate the y-component of the force exerted by B on C. (f) Sum the two x-components to obtain the resultant x-component of the electric force acting on C. (g) Repeat part (f) for the y-component. (h) Find the magnitude and direction of the resultant electric force acting on C.
- In the figure particles 2 and 4, of charge -e, are fixed in place on a y axis, at y2 = -8.62 cm and y4 = 4.31 cm. Particles 1 and 3, of charge -e, can be moved along the x axis. Particle 5, of charge +e, is fixed at the origin. Initially particle 1 is at x1 = -8.62 cm and particle 3 is at x3 = 8.62 cm. (a) To what x value must particle 1 be moved to rotate the direction of the net electric force net on particle 5 by 30 ° counterclockwise? (b) With particle 1 fixed at its new position, to what x value must you move particle 3 to rotate back to its original direction?Two charges lie on the x-y axis as shown. Q1 carries+5 nC and is located at the origin. Q2 carries -4 nC and is located atx2=3, y2=0. What is the electric field at Point P located at xp=3, yp=4?Three particles are held in place along the X-axis. One particle has a charge of 25 C and is located at the origin. Another particle (with a charge of 30 uC) is located at x=10 cm. The last charge is located at ×=-15 cm. What must be the amount of charge on the third particle, if the charge located at the origin is in equilibrium (i.e. all the forces cancel)?
- Needs Complete typed solution with 100 % accuracy. Handwritten solution is completely prohibited.A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical shell of inner radius 6 cm and outer radius 10 cm is concentric with the solid non-conducting sphere and carries a charge of -10 micro C. What is the force on an electron located midway in the space between the shell and the solid sphere?An infinite line of positive charge lies along the y axis, with charge density = 1.30 μC/m. A dipole is placed with its center along the x axis at x = 22.0 cm. The dipole consists of two charges ±10.0 μC separated by 2.00 cm. The axis of the dipole makes an angle of 45.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole. F -0.0683 N An infinite line of positive charge lies along the y axis, with charge density = 1.30 μC/m. A dipole is placed with its center along the x axis at x = 22.0 cm. The dipole consists of two charges ±10.0 μC separated by 2.00 cm. The axis of the dipole makes an angle of 45.0° with the x axis, and the positive charge is farther from the line of charge than the negative charge. Find the net force exerted on the dipole. -0.623 N X