Determine: a) The vector expression of the field due to each of the loads at point P(3, 0) cm. b) The total potential at point P(3, 0) cm. c) The work to bring a qo-2x10-9C load from point P to infinity.
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Three point loads of equal magnitude: Q=9x10-9C and different signs, are located as shown in the figure. Determine:
a) The vector expression of the field due to each of the loads at point P(3, 0) cm.
b) The total potential at point P(3, 0) cm.
c) The work to bring a qo-2x10-9C load from point P to infinity.
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- A charge of 8.3 × 10-5 C is placed in an electric field with a strength of 5.7 × 10^5 N/C . If the electric potential energy of the charge is 85 J, what is the distance between the charge and the source of the electric field? Round your answer to the nearest tenth. Recall F = qEd , where F is Force(N), q is Charge in (C) and d is distance (m)Along the x-axis, the potential is given by: V(x) = 2.16 - 0.251x - 0.137x where x is in meters, and V is in Volts. Find the acceleration if a proton as it passes through the point (0.316 m, 0), 2 in m/s. The sign of the answer will give the direction of the force.+Q +Q ves Bombes K +Q Q: +Q ta -a O a +29 A positive point charge +Q is located at x = -a. What is the electric potential energy of the system after an external agent bring in a second equal positive charge +Q from infinity to x = +a? (b) With the two equal point charges at x = -a and x = +a, what is the total electric potential energy of the system when an external agent brings in a third charge -Q from infinity to the origin? (c) By how much does the electric potential energy change when the charge -Q is moved from the origin to the point x = +2a along the semicircular path shown? Hint: how is the electric potential energy related to the electric potential?
- An object with charge q = -6.00 * 10-9 C is placed in a region of uniform electric field and is released from rest at point A. After the charge has moved to point B, 0.500 m to the right, it has kinetic energy 3.00 * 10-7 J. (a) If the electric potential at point A is +30.0 V, what is the electric potential at point B? (b) What are the magnitude and direction of the electric field?The three charged particles in the figure below are at the vertices of an isosceles triangle (where d = 5.00 cm). Taking q = 7.60 µC, calculate the electric potential at point A, the midpoint of the base.Problem 4. The two charges in figure below are separated by a distance d = 2.00 cm, and Q = 15.00 nC. (ε = 8.85x10-¹² C²/N·m², k = 9 x10° N·m²/C², 1nC= 10-⁹ C). (a) Find the electric potential at A. (b) Calculate the electric potential at B. (c) What is the work done by the electric field to move a charge of -10.00 nC from A to B. d g d B 2Q
- The three charges in the figure below are at the vertices of an isosceles triangle. Let q = 3.50 nC and calculate the electric potential in KV at the midpoint of the base. (Let d1 = 1.00 cm and d2 = 7.00 cm.)In the figure shown below, q = 2.0 x 10-9 C and d = 1.2 m. The electric potential at point P located at the center of the square is: -2.0q -3.0q d- d •P d d- -2.09 +5.0qA particle with a charge of - 2.47 nC is in a uniform electric field directed to the right. It is released from rest and moves to the right. After it has moved 3 cm, its kinetic energy is found to be - 5 µJoules. (a) What work was done by the electric force? (b) What is the potential of the starting point with respect to the end point? (c) Determine the magnitude of the electric field.
- Use the worked example above to help you solve this problem. A proton is released from rest at x = -2.60 cm in a constant electric field with magnitude 1.51 x 10³ N/C, pointing in the positive x-direction. (a) Calculate the change in potential energy when the proton reaches x = 5.35 cm. (b) An electron is now fired in the same direction from the same position. What is its change in electric potential energy if it reaches x = 12.60 cm? J (c) If the direction of the electric field is reversed and an electron is released from rest at X = 4.00 cm, by how much has its electric potential energy changed when it reaches x = 7.50 cm? EXERCISE Find the change in electric potential energy associated with the electron in part (b) as it goes on from x = 0.126 to x = -0.018 m. (Note that the electron must turn around and go back at some point. The location of the turning point is unimportant, because changes in potential energy depend only on the end points of the path.) ΔΡΕ = JA charged particle with -0.41 C of electric charge is placed in a point in the space where the electrical potential is 27.3 V. What is the electrical potential energy of the particle in the unit of J?Three point charges are arranged at the vertices of an isosceles triangle. The values of the loads and the coordinates of the points are in the figure. Calculate: a) The electric field at point 0. b) The electric potential at point 0 c) The electric potential at point P (c, 0), (O<a <c) d) The work we must carry out to carry another point charge of Q value, from point P to point O. Note Define precisely all the physical quantities that are used. In mathematical developments clearly justify the steps.