Two charges Q1 = 2, 3μC and Q₂ = 5, 1μC are placed on the two corners of a right triangle with the sides a = 7,5mm and b = 13, 8mm. How much work is required to bring a third charge Q3 = 6,6μC from infinity to point P that is a distance c away from the empty corner as shown in the figure below? Please take k = 9.0 × 10°N. m²/C2 and express your answer using one decimal place in units of J or N.m. Hint: if you use similar traingles c = a²+62 Q2 Yanıt: a C Q₁ b
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A: Option (c) is correct. Explanation is given in attached images.
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- Given two particles with Q = 2.30-μC charges as shown in the figure below and a particle with charge q = 1.33 x 10-18 C at the origin. (Note: Assume a reference level of potential V = 0 at r = co.) Q x = -0.800 m 9 0 Q + x = 0.800 m X ✪ (a) What is the net force (in N) exerted by the two 2.30-μC charges on the charge q? (Enter the magnitude.) N (b) What is the electric field (in N/C) at the origin due to the two 2.30-μC particles? (Enter the magnitude.) N/C (c) What is the electrical potential (in kV) at the origin due to the two 2.30-µC particles? kV (d) What If? What would be the change in electric potential energy (in J) of the system if the charge q were moved a distance d = 0.400 m closer to either of the 2.30-μC particles?A charged particle Qo-1.5 mC is initially placed in the position A at a distance da=1 mm from another charged particle Q=1 mC. What is the work that has to be done to move Qo from position A to position B by following the dashed path in the figure below? Position B is dB-D0.5 mm away from Q. de O 13.5 x 106 J It depends on the speed of Qo 00J 13. 5 x 108 J It depends on the length of the pathOppositely charged parallel plates are separated by 6.08 mm. A potential difference of 600 V exists between the plates. (a) What is the magnitude of the electric field between the plates? N/C (b) What is the magnitude of the force on an electron between the plates? (c) How much work must be done on the electron to move it to the negative plate if it is initially positioned 2.92 mm from the positive plate?
- In the diagram, how much work is done by the electric field as a third charge q3 = +3.30 nC is moved from point a to point b? 12.0 cm 12.0 cm 91 92 -8.00- cm 4.00 cm 4.00 cm where q1 = +5.40 nC and q2 = -5.40 nC. HJThree identical point charges (+52 µC) are placed at the corners of an equilateral triangle that has (20 cm sides. How much work ( in units of J) is required to assemble this charge arrangement starting with each of the charges a very large distance from any of the other charges? Select one: A. 270.4 B. 365.0 C. 216.3 D. 135.2A point charge with charge q1 = 2.20μC is held stationary at the origin. A second point charge with charge q2 = -4.10 μC moves from the point ( 0.105 m , 0) to the point ( 0.275 m , 0.255 m ). How much work W is done by the electric force on the moving point charge? W = ? J
- A charge of -12 nC is uniformly distributed around a thin plastic ring lying in a yz plane with the ring center at the origin. A -5.6 pC point charge is located on the x axis at x = 3.0 m. For a ring radius of 1.2 m, how much work must an external force do on the point charge to move it to the origin?Four point charges Q1 = Q3 = - 2.3 pC , Q2) = Q4 = +2.3 pC are placed at the corners of a square as shown in the figure below. Q4 Q3 S=64cm Q1 S-64cm Q2 a. How much work is required to set up such arrangement if the charges were initially infinitely far apart and at rest? (Ans: Wsystem = -0.1924 pJ) b. What is the electric potential energy of the system? (Ans: PEsystem = -0.1924 pJ)In Figure (a), we move an electron from an infinite distance to a point at distance R = 9.20 cm from a tiny charged ball. The move requires work W = 2.75 x 10-13 J by us. (a) What is the charge Q on the ball? In Figure (b), the ball has been sliced up and the slices spread out so that an equal amount of charge is at the hour positions on a circular clock face of radius R = 9.20 cm. Now the electron is brought from an infinite distance to the center of the circle. (b) With that addition of the electron to the system of 12 charged particles, what is the change in the electric potential energy of the system? (a) Number i (b) Number i |-R- (a) Units Units (b)
- Three point charges are placed at the vertices of an equilateral triangle of side length a = 0.55 meters. Two of the point charges (91, shown in red) have equal charge of +35 μC. The other point charge (shown in blue as q₂) is -25 µC. How much work must be done to move the negatively charged particle (9₂) from its location at the upper vertex of the triangle to a point midway between the two positive charges? Note that 1 μC = 10-6 C. W = y 91 92 a 91 XFour point charges, which are initially infinitely far apart, are placed on the four corners of a square with side d. If zero net work was done by an external force in placing the charges at the four corners of the square, what is the value of the charge at the lower-right corner? +q -9 +q O A. I O B. Q = 9 Q = 9 C. Q = q 3 [2√2-1 [2√2+1 [2√2+1 [2√2-1 9 QTwo-point charges Q1= 4.5 µC and Q2= 8.5 µC are initially very far apart. They are then brought together, with a final separation of 3.5 mm. How much work does it take to bring them together?