Homework Answers
a) electric potential at point C = kq1/r1 + kq2/r2
= 9*10^9 *10^-6 * (6 / sqrt(0.5^2 + 0.4^2) - 2 /0.5 )
= 48333.83 V
electric potential at D = 9*10^9 *10^-6 * (6 / 0.7 - 2 /0.3 ) = 17142..85 V
b) work done in moving a charge from D to C
= q (Vc - Vd)
= 2*10^-9*(48333.83 - 17142.85)
= 6.24*10^-5 J
c) the work is converted to potential energy of the charge
22. Two identical charges. 91 = 42 = 6.0 C. are separated by 1.0 m. lal...
22. Two identical charges. 91 = 42 = 6.0 C. are separated by 1.0 m. lal Calculate the electric field and electric potential difference at point P.midway between them. b) Replace one of the charges with a charge of the same magnitude but opposite sign and repeat the calculation in (a). c) Discuss your solutions. 23. Points X and Y are 30.0 mm and 58 mm away from a charge of +8.0 xC. fa) How much work must be done...
Use the worked example above to help you solve this problem. A 5.10-mu C point charge...
Use the worked example above to help you solve this problem. A 5.10-mu C point charge is at the origin, and a point charge q_2 = -1.70 mu C is on the x-axis at (3.00, 0) m, as shown in the figure. (a) If the electric potential is taken to be zero at infinity, find the electric potential due to these charges at point P with coordinates (0, 4.00) m. V (b) How much work is required to bring a...
Two charges, -24 mu C, and +5.8 mu C are fixed in place and separated by...
Two charges, -24 mu C, and +5.8 mu C are fixed in place and separated by 3.6 m. (a) At what spot along a line through the charges is the net electric field zero? Given the distance of the spot to the positive charge in meters (m). (b) what would be the force on a charge of +14 mu C placed on that spot
(b) Eight point charges, each of charge -q are placed to form the comers of a cube in space, as shown in the diagram be...
(b) Eight point charges, each of charge -q are placed to form the comers of a cube in space, as shown in the diagram below. Assume these charges are fixed in space. Explain why another identical charge placed at the centre of the cube is not held in stable equilibrium by the electric field. Use both Gauss's law and the electrostatic potential to justify your answer. [5 marks] (c) Write a line integral that relates the electric field due to...
6) Two charges of q_1 = 1.2 muC and q_2 = -2.0 are d = 0.66...
6)
Two charges of q_1 = 1.2 muC and q_2 = -2.0 are d = 0.66 m apart at two vertices of an equilateral triangle as in the figure below. (a) What is the electric potential due to the 1.2-muC charge at the third vertex, point P? v (b) What is the electric potential due to the 2.0-muC charge at P? V (c) Find the total electric potential at P. V (d) What is the work required to move a...
Two point charges lie on the x axis. A charge of -5.5 mu C is at...
Two point charges lie on the x axis. A charge of -5.5 mu C is at the origin, and a charge of +9.5 mu C is at x = 10.0 cm. What is the net electric field at x = -4.0 cm? What is the net electric field at x = +4.0 cm?
d Point charges Q_1 = + 3 10^6 C and Q_2 = -9 10^-6 C are...
d
Point charges Q_1 = + 3 10^6 C and Q_2 = -9 10^-6 C are fixed on the x axis at x = -11 m and x = +11 m, respectively. Sketch the electric potential (voltage) on the x axis for this system. (NOT FOR CREDIT -- but essential for the next parts.) Your sketch should show that there is a point on the x axis between the two charges where V=0. Is this point closer to Q_1 or...
Consider a system of three charges shown in (Figure 1).An object with charge q4 = +6.0×10−9C...
Consider a system of three charges shown in (Figure 1).An object
with charge q4 = +6.0×10−9C is moved to position C from infinity
(not shown in the figure). q1 = q2 = q3 = +10.0×10−8C. a.
Determine the initial electric potential energy of the system
consisting of all four charges. b.
Determine the final electric potential energy of the system
consisting of all four charges.
c. Determine the work done on the system by moving the charge q4
from infinity...
The figure shows the equipotential contours in the plane of two point charges. The labels on...
The figure shows the equipotential contours in the plane of two point charges. The labels on the contours are in V. Determine for each of the following statement whether it is true or false -10 1.8 2.7 6.0 6.0 2.2 1.8 10 1.4 20 20 10 20 x axis (m) TrueThere is a point along the line y 0 and between x-10 and +10 where the field is zero FalseThe above charge configuration can be described as an electric dipole....
A charge q_1 = 2.32 mu c is at a distance d = 1.43 m from...
A charge q_1 = 2.32 mu c is at a distance d = 1.43 m from a second charge q_2 = -6.07 mu c. (a) Find the electric potential at a point A between the two charges that is d/2 from q_1. Note that the location A in the diagram above is not to scale. V (b) Find a point between the two charges on the horizontal line where the electric potential is zero. (Enter your answer as measured from...
22. Two identical charges. 91 = 42 = 6.0 C. are separated by 1.0 m. lal Calculate the electric field and electric potential difference at point P.midway between them. b) Replace one of the charges with a charge of the same magnitude but opposite sign and repeat the calculation in (a). c) Discuss your solutions. 23. Points X and Y are 30.0 mm and 58 mm away from a charge of +8.0 xC. fa) How much work must be done...
Use the worked example above to help you solve this problem. A 5.10-mu C point charge is at the origin, and a point charge q_2 = -1.70 mu C is on the x-axis at (3.00, 0) m, as shown in the figure. (a) If the electric potential is taken to be zero at infinity, find the electric potential due to these charges at point P with coordinates (0, 4.00) m. V (b) How much work is required to bring a...
Two charges, -24 mu C, and +5.8 mu C are fixed in place and separated by 3.6 m. (a) At what spot along a line through the charges is the net electric field zero? Given the distance of the spot to the positive charge in meters (m). (b) what would be the force on a charge of +14 mu C placed on that spot
(b) Eight point charges, each of charge -q are placed to form the comers of a cube in space, as shown in the diagram below. Assume these charges are fixed in space. Explain why another identical charge placed at the centre of the cube is not held in stable equilibrium by the electric field. Use both Gauss's law and the electrostatic potential to justify your answer. [5 marks] (c) Write a line integral that relates the electric field due to...
6)
Two charges of q_1 = 1.2 muC and q_2 = -2.0 are d = 0.66 m apart at two vertices of an equilateral triangle as in the figure below. (a) What is the electric potential due to the 1.2-muC charge at the third vertex, point P? v (b) What is the electric potential due to the 2.0-muC charge at P? V (c) Find the total electric potential at P. V (d) What is the work required to move a...
Two point charges lie on the x axis. A charge of -5.5 mu C is at the origin, and a charge of +9.5 mu C is at x = 10.0 cm. What is the net electric field at x = -4.0 cm? What is the net electric field at x = +4.0 cm?
d
Point charges Q_1 = + 3 10^6 C and Q_2 = -9 10^-6 C are fixed on the x axis at x = -11 m and x = +11 m, respectively. Sketch the electric potential (voltage) on the x axis for this system. (NOT FOR CREDIT -- but essential for the next parts.) Your sketch should show that there is a point on the x axis between the two charges where V=0. Is this point closer to Q_1 or...
Consider a system of three charges shown in (Figure 1).An object
with charge q4 = +6.0×10−9C is moved to position C from infinity
(not shown in the figure). q1 = q2 = q3 = +10.0×10−8C. a.
Determine the initial electric potential energy of the system
consisting of all four charges. b.
Determine the final electric potential energy of the system
consisting of all four charges.
c. Determine the work done on the system by moving the charge q4
from infinity...
The figure shows the equipotential contours in the plane of two point charges. The labels on the contours are in V. Determine for each of the following statement whether it is true or false -10 1.8 2.7 6.0 6.0 2.2 1.8 10 1.4 20 20 10 20 x axis (m) TrueThere is a point along the line y 0 and between x-10 and +10 where the field is zero FalseThe above charge configuration can be described as an electric dipole....
A charge q_1 = 2.32 mu c is at a distance d = 1.43 m from a second charge q_2 = -6.07 mu c. (a) Find the electric potential at a point A between the two charges that is d/2 from q_1. Note that the location A in the diagram above is not to scale. V (b) Find a point between the two charges on the horizontal line where the electric potential is zero. (Enter your answer as measured from...
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