Also find an example of an important industrial device in which electricity is created by varying the angle OB,A between the conductor-enclosed area and the B vector. What is this device called?
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- In the following problems, you don't need to understand the physics to complete the questions. Focus on the equations. (a) The force of gravity, F, between two masses, m and M, separated by a distance r, is given by where G is a constant. Write an equation of r in terms of other variables in the equation GmM F= 2 for F: r= (b) The electric force between two charges q=3·10¯6 units and Q=-4·10¯6 units separated by a distance, 1 d = 3-10-4 units, is given by F= where k=9. 10⁹ units. Without using a calculator, calculate the F. F= kq x² (c) Two positive electric charges, q and Q are separated by a distance d. Assume that q> Q> 0. The position x from charge q where the electric field zero is given by: = kQ (d-x)² kqQ d² Solve for x in terms of the other variables. The quantity k is a constant. Solution 1 represents the largest value of x. Hint: The solution can be simplified in many ways. The solutions accepted below have a form d Solution 1 = a-b Solution 2 = d a+b√√ You need to figure out…vo An electron at point A as shown in the figure has a speed th - 2.2 x 10° m/s. The distance between points A and Bis given as / 8 cm. kg and ge C, respectively.) 31 19 (Mass and charge of the electron are m, = 9.109 x 10 = 1.602 x 10 B) Find the time, in units.of nanoseconds required for the electron to move from A to B. Answer:A positive charge q is fixed at point (−4, 3) and a negative charge -q is fixed at point (-4,0). Determine the net electric force Fnet acting on a negative test charge -Q at the origin (0, 0) in terms of the given quantities and physical constants, including the permittivity of free space Eo. Express the force using ij unit vector notation. Enter precise fractions rather than entering their approximate numerical values. F net = = 4- 3- 2- 1- -1- -2- -3- y 2 4
- .00 44E0 Give an expression for the electric field strength E at a point in terms of the charge q and distance r from the charge to that point. Use k for k = 47). Flag question (i.e. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as π, a etc. use pi, alpha. For example to get 1 AVAB use 1/pi* A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.gif L is given, then do not use 1. Please use "Display response" button to check the you entered correct expression, before submitting your answer. л вWhat is the magnitude of the electric force, in N, between a +3000 C charge and an electron that are 1 mm away from each other? By how many times is the electric force between two charges increased if the distance between them is one tenth of what was originally? By what fraction, in decimal form, is the electric force between two charges decreased if the distance between them is doubled?Consider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is numerically equal to the last two digits of your student number, in meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at A. When AB = 12
- wherea and are real constants, A vector quantity given as E = 4y¹z³ē +axyz³ē, - ẞxy²z²e a Determine the values of constants and so that there can be en electrostatic field ereated by some charges in empty space. b) In this case, obtain the explicit expression of the volumetric lead density of the sources creating the area in question. c) Calculate the total load in the region defined by x<1, y<2 ve |z|<3 MOAn electron is accelerated by a constant electric feld of magnitude 290 N/C. (a) Find the acceleration of the electron. m/s (b) Use the equations of motion with constant acceleration to find the electron's speed after 115 x 10s, assuming it starts from rest. m/s Need Helpz E Read It Wetch+o Use boundary conditions: Find E outside the conductor E = 0 inside conductor Find V outside the conductor Find V inside the conductor
- Find the total electric charge of 2.3 kg of electrons. Express your answer using two significant figures. Find the total electric charge of 2.3 kg of protons. Express your answer using two significant figures.A circular area S is concentric with the origin, has radius a, and lies in the yz-plane. Calculate s E ndA for E=2z2i.Consider a uranium nucleus to be sphere of radius R=7.41015 m with a charge of 92e distributed uniformly throughout its volume. (a) is the electric force exerted on an electron when it is 3.01015 m from the center of the nucleus? (b) What is the acceleration of the electron at this point?