Question

(a) Two particles of fixed negative charge -q are placed on a y axis at fixed...

(a) Two particles of fixed negative charge -q are placed on a y axis at fixed positions of y = d and y = -d. (i) The electric field is probed at a point, P positioned at x = ad on the x-axis, where a is a variable. Illustrate and discuss the magnitudes and directions of electric field components at point P and also illustrate the net electric field at that point, of magnitude E. (ii) Starting from the expression for an electric field generated by a point charge, derive and simplify an expression for E in terms of a, q, d and any other constants required. (iii) Determine the magnitude of a that gives the maximum value of E. (iv) Sketch a graph for the electric field magnitude versus variable ‘a’, spanning positive and negative values of x, and label the maximum and minim values of E.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A rod (length L, total charge +Q) with charge density lambda = a(y+b), where a and...
A rod (length L, total charge +Q) with charge density lambda = a(y+b), where a and b are constants, is positioned along the y-axis such that the upper end is at the origin. (a) Determine the electric field (magnitude and direction) at point P, on the y-axis, distance b from the upper end of the rod (b) Set up, but do not integrate, an integral that would allow you to determine the electric potential at point P. (c) Extra credit:...
A positive charge and a negative charge are placed on the x-axis. Q1 = q is...
A positive charge and a negative charge are placed on the x-axis. Q1 = q is fixed at x=0 and Q2 = - 4q is fixed at x = 4 cm. Where on the x-axis the electric field due to these two charges is zero?
A point particle with charge q = 4.9 μC is placed on the x axis at...
A point particle with charge q = 4.9 μC is placed on the x axis at x = −10 cm and a second particle of charge Q = 7.8 μC is placed on the x axis at x = +25 cm. (a) Determine the x and y components of the electric field due to this arrangement of charges at the point (x, y) = (10, 10) (the units here are centimeters). Ex_____ Ey_____ (b) Determine the magnitude and direction of...
Two charges are fixed in place on the x-axis as shown. The charge at x =...
Two charges are fixed in place on the x-axis as shown. The charge at x = 0 is negative and has magnitude q = 2 μCoulombs (1 μCoulomb = 10-6 Coulombs). The charge at x = d, (d = +12 cm), is positive and has magnitude Q = 4 μCoulombs. Find a point x = xo along the x-axis at which the electric field is zero. xo =____cm
A point particle with charge q = 4.6 μC is placed on the x axis at...
A point particle with charge q = 4.6 μC is placed on the x axis at x = −10 cm and a second particle of charge Q = 7.0 μC is placed on the x axis at x = +25 cm. (a) Determine the x and y components of the electric field due to this arrangement of charges at the point (x, y) = (10, 10) (the units here are centimeters). Ex =   N/C Ey =   N/C (b) Determine the magnitude and...
A +3nC charge is placed on the negative x-axis at x= -5.0m. A -3nC charge is...
A +3nC charge is placed on the negative x-axis at x= -5.0m. A -3nC charge is placed on the positive x-axis at x= +5.0m. a) What is the magnitude of the net electric field at the origin (answer in N/C) b) What is the direction of the net electric field at the origin? c) What are the magnitude and direction of the net electric field on the y-axis at y=2.00m
Two point charges are fixed on the y axis, a negative point charge q1 = -25uC...
Two point charges are fixed on the y axis, a negative point charge q1 = -25uC at y1 = +0.22m and a postive charge q2 at y2 = +0.34m. A third point charge q=+8.4uC is fixed at the origin. The net electrostatic force exerted on the charge q by the other two charges has a magnitude of 27N and points in the +y direction. Determine the magnitude of q2.
A rod (length L, total charge +Q) with charge density lambda = a(y+b), where a and...
A rod (length L, total charge +Q) with charge density lambda = a(y+b), where a and b are constants, is positioned along the y-axis such that the upper end is at the origin. a. Determine the electrical field (magnitude and direction) at point P, on the y-axis, distance b from the upper end of the rod. b. Set up an integral that would allow you to determine the electrical potential at point P. c. Determine constant a in terms of...
Two point charges are fixed on the y axis: a negative point charge q1 = -26...
Two point charges are fixed on the y axis: a negative point charge q1 = -26 μC at y1 = +0.22 m and a positive point charge q2 at y2 = +0.39 m. A third point charge q = +9.7 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.
Two positive point charges are held fixed on the x-axis. Point charge A is located at...
Two positive point charges are held fixed on the x-axis. Point charge A is located at the origin, and point charge B is located at the position x = −5.00 cm = −5.00✕10-2 m (on the negative x-axis). The magnitude of charge A is two times greater than that of charge B: qA = 2qB. ke = 8.9876✕109 Nm2/C2 (A.) The electric force on charge A has magnitude 0.344 mN = 0.344⨯10-3 N. What is the electric force (magnitude and...