Two small beads having positive charges are fixed at the opposite ends of a horizontal insulating rod of length d = 2 m. The charge of q1 = q. The bead with charge q1 is at the origin. As shown in the figure, another third small, positively charged bead (q3) is in equilibrium at distance x= 0.4 m. What is the charge of q2? Select one: a. q/3 b. 2q c. 16q d. q/5 e. 8q
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Two small beads having positive charges are fixed at the opposite ends of a horizontal insulating rod of length d = 2 m. The charge of q1 = q. The bead with charge q1 is at the origin. As shown in the figure, another third small, positively charged bead (q3) is in equilibrium at distance x= 0.4 m. What is the charge of q2?
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- Two small metallic spheres, each of mass m = 0.30 g, are suspended as pendulums by light strings from a common point as shown in the figure below. The spheres are given the same electric charge, and it is found that they come to equilibrium when each string is at an angle of 0 = 8.2° with the vertical. If each string has length L = 40.0 cm, what is the magnitude of the charge on each sphere? L m nCA conducting massive sphere of radius a is surrounded by a thin conducting spherical shell of radius b as shown in the figure. The sphere (a) is grounded and the outer shell is charged with electric charge Q b a Find the electrostatic energy stored in the system (in SI units). Select one: Q² a. U ○ b. U = ○ C. U = ○ d. U = ○ e. U = ○ f. 8πEO U = Q2 8πε Q2 8πεο Q² όπερα Q² σπερ b- a ab b a +a a3 a Q² b-a 8πTEO b2 ×= Two small beads having positive charges 9₁ 92 = q are fixed at the opposite ends of a horizontal insulating rod of length d = 4.20 m. The bead with charge q₁ is at the origin. As shown in the figure below, a third small charged bead is free to slide on the rod. At what position x is the third bead in equilibrium? 91 + 92 + X = m 7q and
- A sphere of radius R is charged with total charge -2g distributed uniformly inside the sphere's volume (p = constant). In addition to the volume charge, there are also two point charges q inside the sphere, both on the x axis, at identical distances from the center, d (see figure). y -29 R q q 6 d d x What should be the value of d so that both point charges would be at equilibrium? Select one: O a. d= ○ b. d = R2R 23 О с. d = 2 ○ d. d = R Ꭱ ○ e. d = RRRL 4 ᎡThree charges are placed on a horizontal line. Charges q1 = +7 nC and q2 = -3 nC are fixed in place, with q2 2.0 m to the right of q1. Charge q3=+5 nC is in equilibrium but free to slide on the line (but not off of it.) a. Find the distance between q3 and q1 and whether q3 is to the right or left of q1. b. If q3 can move along the line away from its initial location, is the equilibrium stable or unstable? How did you decide? c. If q3 were were on a vertical line instead, so it could move up and down but not horizontally, would the equilibrium be stable or unstable for that motion? How did you decide? mConsider the following. B 0.500 mm 60.0° (a) Red blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 1.80 pC, B = 6.60 pC, and C = -4.40 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? magnitude N/C direction ° counterclockwise from the +x axis (b) If the charge of cell A were doubled, how would the electric field at cell A change? O The magnitude of the field would be doubled. O The field would be unchanged. O The magnitude of the field would be halved. O The magnitude of the field would be quadrupled.
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- 60.0 magnitude direction 0.500 mm (a) Red blood cells often become charged and can be treated as point charges. Healthy red blood cells are negatively charged, but unhealthy cells (due to the presence of a bacteria, for example) can become positively charged. In the figure, three red blood cells are oriented such that they are located on the corners of an equilateral triangle. The red blood cell charges are A = 2.30 pC, B = 7.30 pC, and C= -3.90 pC. Given these charges, what would the magnitude and direction of the electric field be at cell A? (1 pC = 1 x 10-¹2 C.) N/C counterclockwise from the +x-axis.Three charged marbles, labeled 91, 92, and 93, are oriented such that 92 is between 9₁ and 93. The charge on 92 is -14.8 µC. E field lines (a) 9₁ and 93 have what sign of charge? 91 ---Select--- V 93 ---Select--- V (b) If the magnitude of the charge on q₁ is 8.4 μC, what is the magnitude of charge on 93? uCThree point charges are located in free space along the x-axis. A positive charge of +2 uC is located at x = 0, a negative charge of -3 μC is located at x = 3 m, and a positive charge of +4 μC is located at x = 6 m. a. Will q1 and q2 attract or repel? Blank 1 b. Will q1 and q3 attract or repel? Blank 2 c. What is the direction of the electrostatic force acting on q1 due to q2? (north, south, east, or west) Blank 3 d. What is the direction of the electrostatic force acting on q1 due to q3? (north, south, east or west) Blank 4 For the following questions, convert your answer into PROPER SCIENTIFIC NOTATION and round the coefficient to two decimal places.(e.g. 5.43 x 10²: 5.43 is the coefficient) What is the magnitude of the electrostatic force on q1 due to q2? Blank 5 x10^Blank 6 N What is the magnitude of the electrostatic force on q1 due to q3? Blank 7x10^Blank 8 N Calculate the net electric force on the positive charge at x = 0 due to the other two charges: Blank 9 x 10^Blank 10 N