42. A uniformly charged rod of length L and total P charge Q lies along the x axis as shown in Figure d P23.42. (a) Find the com- ponents of the electric field at the point Pon the y axis a distance d from the origin. (b) What are the approximate values of the field components when d>> L? Explain why you would expect these results. L Figure P23.42
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- A downward electric force of 3.6N is exerted on a −7.6μC charge. A. Find the magnitude of the electric field at the position of this charge. Express your answer to two significant figures and include the appropriate units. B. What is the direction of the electric field at the position of this charge? Downward or upward?f Two charges q₁ and 92 are placed to either end of the hypotenuse of a right triangle, with a = 5 [cm], b = 8 [cm] and c = 9.43 [cm], as shown in the figure. The magnitude of q1 is 8 [uC] but its sign is unknown. At point P, the direction of the net electric field E, created by the two charges, is entirely in the negative y-direction. P a. b. 0 = 91 a 0 C C. below box). b Find the sign of 91 Calculate the angle between sides a and c. 92 Calculate 92 (Show all your calculation steps by typing in the d. Deduce the magnitude of E (Show all your calculation steps by typing in the below box). FA 6 nC charge is distributed uniformly along the y axis from y = 0 to y = 3 m. Which of the following integrals is correct for the x component of the electric field at x = 3 m on the x axis? A. 54 dy (9+y?)/2 108 В. dy (9+y²)3/2 C. 54 dy dy D. 54 E 108 dy E. (9iy)/2
- A Van de Graaff generator has a 0.045 mC charge on its conducting spherical terminal. a.What is the magnitude of the electric field 2.7 m from the center of the terminal of the Van de Graaff generator? Since that distance is greater than the radius of the terminal, the field is the same as that due to the same charge concentrated at the center. Give your answer in newtons per coulomb. b. At this distance, what is the magnitude of the force that the field exerts on a 2.1 μC point charge on the Van de Graaff generator's belt? Give your answer in newtons.The three cables are used to support the 40-kg flowerpot. Determine the force developed in each cable for equilibrium.Could you solve the question in the picture below?
- A 9 nC charge is distributed uniformly along the y axis from y = 0 to y = 3 m. Which of the following integrals is correct for the x component of the electric field at x = 7 m on the x axis? A. 378 dy (49+ y2)3/2 В. 378/ dy (49+y)/2 dy 189 f (49+y2)/2 C. D. 34. 71 f dy (49+ y2)/2 E. 189 - dy 3/2QUESTION FIVE A. Copperbelt Energy Corporation (CEC) intends to lay an infinitely long conductor with charge density and length L, on one of their project sites on the Copperbelt. As a Graduate Engineer working for Copperbelt Energy Corporation (CEC), you have been assigned to be the lead project Engineer You supervisor has tasked to apply Gauss law principles that you learned during your undergraduate studies to determine the electric field a point P, which is located at a distance r meters the from the conductor. Assuming a cylindrical Gaussian surface due to the symmetry of wire, clearly show how you would go about in executing this task.A thin, insulating rod of length Icarries a linear charge density^(x) that varies with distance according to (x)=Ax (in SI units). The location of the origin is shown in the figure. A point charge q is located a distance I from the end of the rod as shown. a. What are the SI units of the constant A? b. Find the force that the rod exerts on q.
- Consider three charges q1 = 6.3 µC, q2 = 0.8 µC, and q3 = -2.3 µC, arranged as shown below. (a) What is the electric field at a point 1.0 cm to the left of the middle charge? N/C to the right or left(b) What is the magnitude of the force on a 2.2 µC charge placed at this point? NThree point charges are located on a circular arc as Q2 shown in Figure P23.31. (a) What is the total electric field at P, the center of the arc? (b) Find the elec- tric force that would be exerted on a –5.00-nC point charge placed at P. +3.00 nC 4.00 cm -2.00 nC 30.0° P 30.0° 4.00 cm +3.00 nC Figure P23.31