Question

In: Physics

The diagram shows an isolated, positive charge Q, where point B is twice as far away...

The diagram shows an isolated, positive
charge Q, where point B is twice as far away
from Q as point A.
+Q ____A____ B
0 10cm 20cm
What is the ratio of the electric field
strength at point A to the electric field
strength at point B?

Solutions

Expert Solution

electric field strength is inverseley proportional to the square of distance :

E 1 / r2                                { eq. 1 }

suppose, rB = 2 rA

the ratio of the electric field strength at point A to the electric field strength at point B is given as :

EA / EB = (1 / rA2 ) / (1 / rB2)                            { eq. 2 }

EA / EB = rB2 / rA2

EA / EB = (rB / rA)2                                    { eq. 3 }

inserting the value of 'rB' in eq.3,

EA / EB = [(2 rA) / rA]2

EA / EB = 4 rA2 / rA2

EA / EB = 4 / 1


Related Solutions

(a) A positive point charge Q is placed at the center of a cube. Draw the...
(a) A positive point charge Q is placed at the center of a cube. Draw the field lines for this charge configuration. Include at least 7 field lines and be sure to show them passing through the surface of the cube. (b) What is the flux through one side of this cube? Hint: Do not under any circumstances integrate to find the flux. Think about how many sides the cube has and whether or not the flux through each face...
1. A particle, Q, with a positive charge of 2.5 nC is isolated from all other...
1. A particle, Q, with a positive charge of 2.5 nC is isolated from all other charged objects. Point A is 1.5 cm to the right of the charge. Point B is 1.5 cm below the charge. Point C is 2.5 cm to the left of the charge. a. What is the electric potential at points A, B, and C? b. What is the potential energy of an electron at each point? c. If an electron is placed at rest...
A point charge Q moves on the x-axis in the positive direction with a speed of...
A point charge Q moves on the x-axis in the positive direction with a speed of 170 m/s. A point P is on the y-axis at y = +30 mm. The magnetic field produced at point P, as the charge moves through the origin, is equal to -0.7 μT k^. When the charge is at x = +40 mm, what is the magnitude of the magnetic field at point P? (μ 0 = 4π × 10-7 T · m/A)
A positive charge q is fixed at the point x = 0, y = 0, and...
A positive charge q is fixed at the point x = 0, y = 0, and a negative charge -2q is fixed at the point x = a, y = 0. a) Derive an expression for the potential V at points on the x -axis as a function of the coordinate x . Take V to be zero at an infinite distance from the charges. (Express your answer in terms of the given quantities and appropriate constants). V(x) = b)...
A large negative charge −Q is located in the vicinity of points A and B. Suppose a positive charge +q is moved
A large negative charge −Q is located in the vicinity of points A and B. Suppose a positive charge +q is moved at constant speed from A to B by an external agent. Along which of the paths shown in the figure  will the work done by the field be the greatest?(a) Path 1(b) Path 2(c) Path 3(d) Path 4(e) Work is the same along all four paths.
A positive charge q is fixed at the point x=0,y=0 and a negative charge -2q is...
A positive charge q is fixed at the point x=0,y=0 and a negative charge -2q is fixed at the point x=a,y=0. Part A: Derive an expression for the potential V at points on the y-axis as a function of the coordinate y. Take V to be zero at an infinite distance from the charges. Part B: At which positions on the y-axis is V = 0? Part C: What does the answer to part A become when y>>a? Part D:...
In a rectangular coordinate system, a positive point charge q = 7.50 nC is placed at...
In a rectangular coordinate system, a positive point charge q = 7.50 nC is placed at the point x= 0.180 m , y=0, and an identical point charge is placed at x= -0.180 m , y=0. Find the x and y components and the magnitude and direction of the electric field at the following points. a. Find the x and y components of the electric field at the origin. b. Find the magnitude of the electric field at the origin....
In a rectangular coordinate system, a positive point charge q = 6.50 nC is placed at...
In a rectangular coordinate system, a positive point charge q = 6.50 nC is placed at the point x = +0.150 m, y = 0, and an identical point charge is placed at x = -0.150 m, y = 0. Find the electric field at the following points. a) Find the x and y components of the electric field at x = 0, y = 0.200 m. b) Find the magnitude of electric field at x = 0, y =...
In a rectangular coordinate system, a positive point charge q = 5.50 nC is placed at...
In a rectangular coordinate system, a positive point charge q = 5.50 nC is placed at the point x= 0.190 m , y=0, and an identical point charge is placed at x= -0.190 m , y=0. Find the x and y components and the magnitude and direction of the electric field at the following points. A.) Find the x and y components of the electric field at x= 0.380 m , y=0. B.) Find the magnitude of the electric field...
In a rectangular coordinate system, a positive point charge q = 8.00 nC is placed at...
In a rectangular coordinate system, a positive point charge q = 8.00 nC is placed at the point x = +0.150 m, y = 0, and an identical point charge is placed at x = -0.150 m, y = 0. Find the electric field at the following points. a. Find the x and y components of the electric field at x = 0.150 m, y = -0.400 m. (Units N/C) b. Find the magnitude of the electric field at x...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT