Two very small conducting spheres (of radius 2.5 mm) lie at fixed locations on a flat surface, such that their centres are separated by a distance of two metres. Labelling the spheres 1 and 2, the charge on sphere 1 is Q1 = 25 nC and the charge on sphere 2 is Q2 = -34 nC. Find the force exerted on a sphere of radius 1.0 mm having charge Q3 = 5 nC, whose centre is situated at a point 75.1 cm above the surface and equidistant from the centres of the charged spheres. See Figure 1 for a depiction of the set up.

Two very small conducting spheres (of radius 2.5 mm) lie at fixed locations on a flat surface, such that their centres are separated by a distance of two metres. Labelling the spheres 1 and 2, the charge on sphere 1 is Q1 = 25 nC and the charge on sphere 2 is Q2 = -34 nC. Find the force exerted on a sphere of radius 1.0 mm having charge Q3 = 5 nC, whose centre is situated at a point 75.1 cm above the surface and equidistant from the centres of the charged spheres. See Figure 1 for a depiction of the set up.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

The figure below shows three small, positively charged spheres at three corners of a rectangle. The particle at upper left has a charge q, = 8.00 nC, the one at the lower left has a charge of q2 = 4.00 nC, and the one at lower right has a charge q, = 6.00 nC. The rectangle's horizontal side has length x = 5.50 cm and its vertical side has length y = 4.00 cm. (a) What is the electric potential (in V) at the upper-right corner of the rectangle? (Assume the zero of electric potential is at infinity.) 2.65*10**3 What is the electric potential at a point due to a single charged particle? Given more than one charged particle, how do you find the total potential at a point? How far is each charge from upper right point? Be careful with units and signs. V (b) What would be the potential (in V) at the upper-right corner if the charge q, at lower left was -4.00 nC instead? 2.71*10**3 Use the same method as used in part (a). Note q, is now the opposite sign. How does this affect the potential due…
Two charges, qi =-1.069 µC and unknown charge q2 are separated by distance 6.92 cm, and placed with charge q1 to the left of charge q2, as shown in the picture below. Charge q2 exerts force F2 on 1 of magnitude 4.35 N that point in the negative x-direction. F2 on 1 91 92 ? What is the exact (not absolute) value of charge q2? Express your answer in microcoulombs, with a precision of three places after the decimal.
Two point charges are fixed on the y axis: a negative point charge q1 = - 28 μC at y1 = + 0.15 m and a positive point charge q2 at y2 = + 0.35 m. A third point charge q = + 9.2 μC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 23 N and points in the +y direction. Determine the magnitude of q2.
Suppose you have 5 point charges q1 to q5 distributed along a semi-circle maintaining equal distance. The charge q6 is at the center of the circle. The radius of the semi-circle is R=44cm and the magnitude of the charges are as follows : q1=q5=20μC, q2=q4=38μC and q3=q6=−38μC. a) Find the vector that points from q1 to q6 and call it r⃗1,6. x component of the vector y component of the vector b) Calculate the coulomb force on q6 due to q1 in unit vector notation and call it F⃗1,6 x component of the force y component of the force
Consider three point-charges: q1 = -3.0 μC at (0.0 m, 0.0m); q2 = 6.0 μC at (0.40 m, 0.0 m); and q3 = 9.0 μC at (0.0 m, -0.30 m). Find the net electrostatic force (both magnitude and direction) on charge q1 due to the presence of charges q2 and q3.
A system consists of two positive point charges, q1 and q2 7 q1.The total charge of the system is +62.0 mC, and each charge experiences an electrostatic force of magnitude 85.0 N when the separation between them is 0.270 m. Find q1 and q2.
Three identical point charges with charge q = +3.0x10-6 C are place at each vertex of an equilateral triangle ABC. If the side of the equilateral triangle is 0.01 m, find the resultant electric force on the charge at vertex A.
Particle A of charge 3.10 x 10 C is at the origin, particle B of charge -6.2bk10Tcislat (3.72 m, 0) and particle C of charge 1.10 x 10" C is at (0, 3.80 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 8 on C. (e) Calcutate the y-component of the force exerted by B on C () Sum the two x-components to obtain the resultant x-component of the electrie 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. magnitude direction ° counterclockwise from the +x-axis
Charges q1, q2 and q3 are arranged in the x-axis. Charge q3 = 14 nC and is at the origin. Charge q2 = 3.5 nC and is at x = 4 cm. Charge q1 is at x = 9 cm. Solve for q1 (magnitude and sign) if the net force on q3 is zero. Express your answer in nC.
Two small charged spheres are placed in vacuum on the x-axis: q1 = +3.57 µC at x = 0 and q2 = -8.98 µC at x = 12.06 cm. A third charge is placed at x = a such that the net force it experiences due to q1 and q2 is zero. What is the value of a in cm? Express your answers accurate to two decimal places.
Suppose you have 5 point charges q1 to q5 distributed along a semi-circle maintaining equal distance. The charge q6 is at the center of the circle. The radius of the semi-circle is R=44cm and the magnitude of the charges are as follows : q1=q5=20μC, q2=q4=38μC and q3=q6=−38μC. e) Find the vector that points from q4 to q6 and call it r⃗4,6. x component of the vector y component of the vector f) Calculate the coulomb force on q6 due to q4 in unit vector notation and call it F⃗4,6. x component of the force y component of the force g) Calculate the Net Electric force on q6 due to all other charges. x component of the force y component of the force
Point charges of 5.205.20 µC and −3.80−3.80 µC are placed 0.2700.270 m apart, with the −3.80−3.80 µC charge being placed to the right. Where can a third charge be placed so that the net force on it is zero? Give your answer as a displacement from the −3.80−3.80 µC charge. (Define the positive direction to be to the right.)