Consider the system of 3 fixed charges of absolute magnitude |q| = (4.2x10^2) nC, placed as specified in the figure. The (x,y) coordinates of the two postivie charges are (0,0), (0,d) and the negative charge is at (d,d), with the distance d = (9.300x10^-2) m. What is the electric potential energy of this system? %D Answer in joules (J) with proper scientific notation. d d
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- The rectangle in the figure is 3 sidescapped by 5.0cm and 15cm, etq1 = −5μCetq2 = + 2.0μC. IfV = 0 at infinity, what is the electric potential (a) at corner A? (b) at corner B? (c) How much work does it take to move a third load q3 = +3.0 μC from point B to point A on the diagnonal of the rectangle? (d) Does this work increase or decrease the potential electrical energy of the three-load system? Is it greater than, less than or equivalent to the work required to move q3 on trajectories that are inside the rectangle but not on the diagnostic? (f) outside the rectangle? Please show formulas, thank youConsider a ring of charge in the x-y plane of radius 2.7 m, centered at the origin. The charge per angle around the ring is given by dQ/dα = a (1 - cos α) (nC/rad), where a = 8.4 nC/rad. Calculate the electric potential along the z axis at z = 5.8 m, in V. Use k = 9 x 109 N m2 / C2. (Please answer to the fourth decimal place - i.e 14.3225)A spherical conductor whose center is at point O and radius R = 20 cm, is given a charge Q = + 100 μC a. Calculate the electric potential at points A and B if the distance OA = 30 cm and the distance OB = 45 cm. b. How much work is required to move an electron from point A to point B?
- 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.)An electron moving parallel to the x axis has an initial speed of 3.40 x 106 m/s at the origin. Its speed is reduced to 1.98 x 105 m/s at the point x = 2.00 cm. (a) Calculate the electric potential difference between the origin and that point. Volts (b) which point is at the higher potential? O the point x = 2.00 cm ● the origin O both have the same potentialConsider a certain amount of a conducting liquid sprayed into 650 equal spherical drops. Each drop is charged to the same electric potential of 2.5 V (relative to the infinity where potential is zero). If all these 650 drops are combined into one large spherical drop, what is the electric potential of this large drop? The electric potential of the large drop, V = Units Select an answer ✓
- Two point charges Q1 +4.20 nC and Q₂ = -1.30 nC are separated by 55.0 cm. (a) What is the electric potential at a point midway between the charges? V = (b) What is the potential energy of the pair of charges? J What is the significance of the algebraic sign of your answer? O Positive work must be done to separate the charges. O Negative work must be done to separate the charges.The electric potential is given by the following expression: V(x, y, z) = x²yz + 2y²z, where V is in volts. Determine the electric field (magnitude and direction) at point (1, 1, 2).In a certain region of space, the electric potential is V(z,9,2) = Czy – Ar + By %3D where A, B and C are positive constants. Calculate the r, y and z components of the electric fiekd.
- = A point charge Q1 = +5.8 µC is fixed in space, while a point charge Q2 = +2.8 nC, with mass 6.3 µg, is free to move around nearby. Calculate the electric potential energy of the system, in joules, when Q2 is located 0.42 m from Q₁. If Q2 is released from rest at a point 0.42 m from Q₁, what will be its speed, in meters per second, when it is 0.79 m from Q₁? m/sA rod of length L = 4.00 m with uniform charge of 9.50 nC/m is oriented along the y axis as shown in the diagram. P, (a) What is the electric potential at the location P1 whose coordinates are (0, -6.00 m)? V (b) What is the electric potential at the location P2 whose coordinates are (6.00 m, 2.00 m)?Please don't provide handwritten solution ..... The electric potential V(x, y, z) in a region of space is given by V(x, y, z) = V0(6x2 − 3y2 − z2), where V0 = 18.0 V and x, y, and z are measured in meters. Find the electric field at the point (1.40 m, 1.40 m, 0). (Express your answer in vector form.)