d) Use the above results to show that the quotient Q-Xyys q ± δq ís such...
I need help solving for the charge “q”. My professor says it’s just algebra but it seems to be challenging. I added photos of the lab and a free body diagram for reference. Estimating the Charge on a Simple Electroscope Questions one poses to nature in physics are answered through measurement and modeling. The answer has uncertainties not only due to measurements, but how good the model is. This lab is constructed not as a cookbook exercise, but to mimic...
6. (2n) a. Use the AST to show this series converges. b. Approximate the sum by calculating s c. Find a maximum for the absolute value of the error (error]) in this approximation. d. How many terms n must be added (i.e. s,) so that Jerrort .001 6. (2n) a. Use the AST to show this series converges. b. Approximate the sum by calculating s c. Find a maximum for the absolute value of the error (error]) in this approximation....
(5) Show Corr(aX + b, cY + d) = Corr(X, Y). Hint: Use results for the covariance and variance.] (5) Show Corr(aX + b, cY + d) = Corr(X, Y). Hint: Use results for the covariance and variance.]
A charge q is positioned at point (0,0,d) above a grounded conducting plate (V=0 on the plate). Use the method of images (see lecture notes) to find the electric field on the plate. Since the electric field inside the conductor is zero (charges are not moving), use Gauss’s Law to find the surface charge density σ(r) on the plate and show that the total charge on the plate is –q.
A dipole is made of a rod of length d with charge +q on one end and −q on the other. You place it lying along the y-axis with its center at y >> d, so the +q charge is at (0, y + d/2, 0) and the −q charge is at (0, y − d/2, 0). A test charge of magnitude +Q is placed at the origin. Find a simple (monomial) approximate expression for the magnitude of the net...
(5) Show Corr(aX + b, cY + d) = Corr(X, Y). Hint: Use results for the covariance and variance.]
Please solve the above sum (B) Q = 50k E (d) A firm in a perfectly competitive industry has the following long run cost function C(q) q-60q+1500q O) If the firm can sell its output at p Rs. 975, how much will it produce to maximise profit? (i) Is the output of the firm in (i)compatible with industry equilibrium? (Gii) If the industry is that of constant average cost, derive the equation for the long run supply curve of the...
Q 4.13: Survey results show that 176 of 320 females eat cereal for breakfast, while 114 of 300 males eat cereal for breakfast. If we want to estimate the difference in proportions between females (pr) and males (pm) eating cereal for breakfast, should we use a confidence interval or a hypothesis test? If we should use the confidence interval, where would it be centered? If we should use the hypothesis test, what would the null and alternative hypothesis be? A...
A region in space contains a total positive charge Q that is distributed spherically such that the volume charge density ρ(r) is given by for「SRI2 Here α is a positive constant having units of C/m3 (a) Determine a in terms of Q and R (b) Using Gauss's law, derive an expression for the magnitude of E as a function of r. Do this separately for all three regions. Express your answers in terms of the total charge Q. Be sure...
10. Use 9 above to prove that the equation x^2 − 2y^2 = 1 has infinitely many solutions over Q. What can you conclude about the number of solutions over Z? (question9: For F as in 8, define N : F → Q by N(a + b√2) = a^2 − 2b^2. (i) Prove that N(αβ) = N(α)N(β), for all α,β ∈ F. (ii) Find an element u ∈ F such that N(u) = 1 and such that all of the...