1. (a) Two particles of fixed negative charge -q are placed on a y axis at...
1. (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
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1. (a) Two particles of fixed negative charge -q are placed on a
y axis at...
Two particles, each of positive charge q, are fixed in place on the y-axis, one at...
Two particles, each of positive charge q, are fixed in place on the y-axis, one at y=d and the other at y= -d. Write an expression that gives the magnitude E of the net electric field at a point x on the x-axis. Graph E versus x for the range 0 < x < 4d. (Use excel or other graphing programs NOT by hand) from the graph, determine the values of x in terms of d that give the maximum...
P7. Suppose a negative charge of magnitude q is placed on the y axis at position...
P7. Suppose a negative charge of magnitude q is placed on the y axis at position +a and a positive charge of magnitude q is placed on the y axis at position -a (a) Determine the electric field at a point on the x axis -9 E-2 +4 (b) Simplify your expression for the case x >> 2a
In Fig. 22-24, two particles +3q of charge -q are arranged symmetrically about the y axis; each produces an electric field at point P on that axis.
In Fig. 22-24, two particles +3q of charge -q are arranged symmetrically about the y axis; each produces an electric field at point P on that axis. (a) Are the magnitudes of the fields at P equal? (b) Is each electric field directed toward or away from the charge producing it? (c) Is the magnitude of the net electric field at P equal to the sum of the magnitudes E of the two field vectors (is it equal to 2E)?...
Two charges (dipole) of +q = +6.00 μC and −q = −6.00 μC along the y-axis,...
Two charges (dipole) of +q = +6.00 μC and −q = −6.00 μC along
the y-axis, separated by 3.00 m, as shown in the figure below.
Point P is located 4.00 m directly to the right of the positive
charge, as shown. The origin is located halfway between the
charges.
(a) At point P (test point), sketch and label the electric field
E+ due to the positive charge +q, and the electric field E - due to
the negative charge...
Question 2 Two particles are fixed to an x axis: particle 1 of charge 8.96 x...
Question 2 Two particles are fixed to an x axis: particle 1 of charge 8.96 x 10-7 C is at the origin and particle 2 of charge + 8.96 x 10-7 C is at x2 19.2 cm. Midway between the particles, what is the magnitude of the net electric field? Number Units Question 3 The figure shows two charged particles on an x axis:-q6.40x 10-19 Catx--4.50 m and q-6.40x 10-19 Catx 4.50 m. What are the (a)x-and (b) y-components of...
1. Two point charges, q, and q are fixed in position. a is located at (0, d). qg is located at (0...
1. Two point charges, q, and q are fixed in position. a is located at (0, d). qg is located at (0,-d). The value of q, is known, and it is positive. The value of q, is unknown. The value of d is known, and it is positive. Also fixed in position is a uniformly charged line segment of length d. This segment is parallel to the x-axis and its left end is located at (d/2.-d). The total electric field...
8. A negative point charge of magnitude q is placed on the positive y axis at...
8. A negative point charge of magnitude q is placed on the positive y axis at a distance of +a. A positive point charge is placed on the negative y axis at a distance of-a. A third positive charge (a test charge) of the same magnitude q is placed somewhere on the positive x axis. a) What is the magnitude and direction of the third charge if x- 0? b) What is the force on the charge when it is...
JV 1. A positive charge qi is located at the point (0,0) and a negative charge...
JV 1. A positive charge qi is located at the point (0,0) and a negative charge q2 at (a,0) At an arbitrary point (Oy) on the y-axis: (a) Find the magnitude of the electric field E1 due to charge qi and the magnitude of the electric field E2 due to charge q2 in terms of the given quantities q1, q2.y, and a. (b) Find the cos and sin of the angle θ that the vector E2 makes with the x-axis,...
Consider the two negative charges shown. Two negative charges of magnitude minus Q are positioned on...
Consider the two negative charges shown. Two negative charges of magnitude minus Q are positioned on the X axis in an X Y coordinate system. The charges are equidistant from the Y axis and located to either side of it. Point P is on the Y axis and above the X axis, forming the apex of an isoceles triangle with the two charges. At point P, the net electric field due to these charges A. points to the left. points...
Two point charges are fixed on the y axis: a negative point charge q1 = -34...
Two point charges are fixed on the y axis: a negative point
charge q1 = -34 μC at y1 = +0.22 m and a positive point charge q2
at y2 = +0.35 m. A third point charge q = +8.3 μC is fixed at the
origin. The net electrostatic force exerted on the charge q by the
other two charges has a magnitude of 26 N and points in the +y
direction. Determine the magnitude of q2.
Chapter 18, Problem...
P7. Suppose a negative charge of magnitude q is placed on the y axis at position +a and a positive charge of magnitude q is placed on the y axis at position -a (a) Determine the electric field at a point on the x axis -9 E-2 +4 (b) Simplify your expression for the case x >> 2a
Two charges (dipole) of +q = +6.00 μC and −q = −6.00 μC along
the y-axis, separated by 3.00 m, as shown in the figure below.
Point P is located 4.00 m directly to the right of the positive
charge, as shown. The origin is located halfway between the
charges.
(a) At point P (test point), sketch and label the electric field
E+ due to the positive charge +q, and the electric field E - due to
the negative charge...
Question 2 Two particles are fixed to an x axis: particle 1 of charge 8.96 x 10-7 C is at the origin and particle 2 of charge + 8.96 x 10-7 C is at x2 19.2 cm. Midway between the particles, what is the magnitude of the net electric field? Number Units Question 3 The figure shows two charged particles on an x axis:-q6.40x 10-19 Catx--4.50 m and q-6.40x 10-19 Catx 4.50 m. What are the (a)x-and (b) y-components of...
1. Two point charges, q, and q are fixed in position. a is located at (0, d). qg is located at (0,-d). The value of q, is known, and it is positive. The value of q, is unknown. The value of d is known, and it is positive. Also fixed in position is a uniformly charged line segment of length d. This segment is parallel to the x-axis and its left end is located at (d/2.-d). The total electric field...
8. A negative point charge of magnitude q is placed on the positive y axis at a distance of +a. A positive point charge is placed on the negative y axis at a distance of-a. A third positive charge (a test charge) of the same magnitude q is placed somewhere on the positive x axis. a) What is the magnitude and direction of the third charge if x- 0? b) What is the force on the charge when it is...
JV 1. A positive charge qi is located at the point (0,0) and a negative charge q2 at (a,0) At an arbitrary point (Oy) on the y-axis: (a) Find the magnitude of the electric field E1 due to charge qi and the magnitude of the electric field E2 due to charge q2 in terms of the given quantities q1, q2.y, and a. (b) Find the cos and sin of the angle θ that the vector E2 makes with the x-axis,...
Two point charges are fixed on the y axis: a negative point
charge q1 = -34 μC at y1 = +0.22 m and a positive point charge q2
at y2 = +0.35 m. A third point charge q = +8.3 μC is fixed at the
origin. The net electrostatic force exerted on the charge q by the
other two charges has a magnitude of 26 N and points in the +y
direction. Determine the magnitude of q2.
Chapter 18, Problem...
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