Question

(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.

Answer #1

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 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 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 = 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
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 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 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 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 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...

Consider a positive charge q that is fixed at the origin (x = 0)
and a negative charge −3q that is fixed along the xaxis at the
point x = a. Calculate the electric field (magnitude and direction)
at the position(s) where the electric potential V = 0. (only find a
point on x-axis)

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