Three particles are fixed on an x axis. Particle 1 of charge q, is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostat force on particle 3 of charge Q is to be zero, what must be the ratio q1/92 when particle 3 is at (a) x = +0.236a and (b) x = +2.04a? (a) Number i Units (b) Number i Units
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- Three particles are fixed on an x axis. Particle 1 of charge q₁ is at x = - a, and particle 2 of charge q₂ is at x = + a. If their net electrostatic force on particle 3 of charge + Q is to be zero, what must be the ratio q₁/92 when particle 3 is at x = 1.50a? Important: Assume that the charge of particle 1 is positive.Humid air breaks down (its molecules become ionized) in an electric field of 3.0 * 10^6 N/C. In that field, what is the magnitude of the electrostatic force on (a) an electron and (b) an ion with a single electron missing?A charge Q= 3nC is uniformly distributed over a ring of radius a = 6 cm. An electron is released from rest at point C, which is 8 cm away from the center O of the ring. Find the speed (in 10° m/s) of the electron as it passes through point O. Hint: me = 9.11x10-3 kg.
- Two charges, 4 µC and -8 µC, are placed on x-axis at x= -6 m and x=6 m. Determine the magnitude and direction of the electric field on the y-axis at y = 8 m. If 12 µC charge is placed at this point, what is the magnitude and direction of force acting on the 12 µC charge?Two red blood cells each have a mass of 9.05 x 10-¹4 kg and carry a negative charge spread uniformly over their surfaces. The repulsion arising from the excess charge prevents the cells from clumping together. One cell carries -3.00 pC and the other -2.90 pC, and each cell can be modeled as a sphere 3.75 x 10-6 m in radius. If the red blood cells start very far apart and move directly toward each other with the same speed, what initial speed would each need so that they get close enough to just barely touch? Assume that there is no viscous drag from any of the surrounding liquid. initial speed: What is the maximum acceleration of the cells as they move toward each other and just barely touch? maximum acceleration: m/s m/s²(a) Figure (a) shows a nonconducting rod of length L = 9.00 cm and uniform linear charge density λ = +7.57 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 5.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 7.57 pC/m. With V = 0 at infinity, what is V at P? (a) Number i (b) Number i ·+· -L/2 (a) Units Units L/2 +‡ ‡ ‡+3= L/2 .Р (b) L/2
- Three particles are fixed on an x axis. Particle 1 of charge q1 is at x = -a and particle 2 of charge q2 is at x = +a. If their net electrostatic force on particle 3 of charge Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x = +0.648a and (b) x = +1.44a?A charge q1=+2q is at the origin, and a charge q2=−q is on the x-axis at x=a, where a>0. Find the expression Ex<0 for the total electric field on the x-axis in the region x<0. Use k to represent Coulomb's constant. Find the expression E0<x<a for the total electric field on the x-axis in the region 0<?<?. Find the expression Ea<x for the total electric field on the x-axis in the region ?<?. Determine all the points x on the x-axis where the electric field is zero. If there is more than one point, enter them as a comma‑separated list.A point charge Q is placed on the x axis at the origin. An identical point charge is placed on the x axis at x = -1.0 m and another at x = +1.0 m. If Q = 20 μC, what is the magnitude of the electrostatic force on the charge at x = +1.0 m?
- In the figure particle 1 of charge -4.50q and particle 2 of charge +2.10q are held at separation L = 4.30 m on an x axis. If particle 3 of unknown charge 93 is to be located such that the net electrostatic force on it from particles 1 and 2 is zero, what must be the (a) x and (b) y coordinates of particle 3? i Units (a) Number i Units (b) NumberThree particles are fixed on an x axis. Particle 1 of charge q1 is at x=-a, and particle 2 of charge q2 is at x=+a. If their net electrostatic force on particle 3 of charge =Q is to be zero, what must be the ratio q1/q2 when particle 3 is at (a) x=+0.500a and (b) x=+1.50a?The cockroach Periplaneta americana can detect a static electric field of magnitude 6.00 kN/C using their long antennae. If the excess static charge on a cockroach is modeled as point charges located at the end of each antenna, what magnitude of charge q would each antenna possess in order for each antennae to experience a force of magnitude 5.50 µN from the external electric field? Calculate q in units of nanocoulombs (nC). q= nC