In the diagram shown below, the four currents are assumed to be held in place at their current locations. The currents have the following values: IA = 3.000 A, IB = 3.000 A, Ic 1.000 A and ID 2.000 A. Let d = 12.500 cm and assume standard x- and y-axes at point P1. (Be careful about signs!) AO 3d The magnitude of the total magnetic field at point P1, in μT and to three decimal places, is d P1

Q5: Consider the formula B = 2ol J’ds:e 4 r and give an explanation of the magnetic field unit ?

Calculate the relative frequency P(E) using the given information. N = 400,    fr(E) = 300 P(E) =

6. Determine the exponential form of the Fourier series of these signals, and draw the amplitude and the phase spectrum. The figure shows for every case a period of length T. ..... (a) (b) (c)

3 Charged Closed Wire Consider a thin closed wire with the radius R localized at the origin on the xy-plane, which is charged uniformly with the total charge Q. (i) What is the charge density p in this problem? (ii) Calculate the electric field along the z axis? (Hint: First, consider an infinitessimal piece of the charge.)

A wire with length 4.0 cm stretches along the x axis and carries a 3.0 A current to the right (+) The wire is in a uniform magnetic field B-(0.25i-0.30j+0.22k) T Determine the x-component of the force on the wire Express your answers using two significant figures. ΕΧΕΙ ΑΣΦ Fx 2.6 102 Submit Previous Answers Request Answer Part B Incorrect; Try Again; One attempt remaining Determine the y-component of the force on the wire. Express your answers using two significant figures. ΕΧΕΙ ΑΣΦ Fy Submit Previous Answers Request Answer ? ? N N

Consider the radiation with the following wavelengths: 1. 600 nm II. 200 nm III. 1200 nm Arrange by: LOWEST energy LOWEST frequency HIGHEST energy_ ergy_||| A. I, I, III B. II, II, I C. III, III, I D. III, II, II E. II, II, III 20

A photon moving in the +x-direction, scatters off a free stationary electron. The wavelength of the incident photon is 0.0310 nm. After the collision, the electron moves at an angle a below the +x- axis, while the photon moves at an angle = 81.3° above the +x-axis. (For the purpose of this exercise, assume that the electron is traveling slow enough that the non-relativistic relationship between momentum and velocity can be used.) (a) What is the angle a (in degrees)? 47.21 X What is the shift in wavelength of the photon due to the scattering? How can you use momentum conservation in the horizontal and vertical directions to determine the angle? counterclockwise from the +x-axis (b) Determine the speed of the electron (h m/s). m/s

Consider the following set of dependent and independent variables. Complete parts a through c below. y 9 11 D 15 15 21 24 28 32 X1 2 6 6 8 6 11 15 20 X2 16 10 14 11 3 8 7 4 a. Using technology, construct a regression model using both independent variables. y= (15.3952) + (1.0092) x₁ + (-0.5869)x2 (Round to four decimal places as needed.) b. Test the significance of each independent variable using α = 0.05. Test the significance of x₁. Identify the null and alternative hypotheses. Ho B₁ = H₁ B₁ 0 0 (Type integers or decimals.) Calculate the appropriate test statistic. The test statistic is 4.20 (Round to two decimal places as needed.) Determine the appropriate critical value(s) for α = 0.05. The critical value(s) is (are) ☐ (Round to two decimal places as needed. Use a comma to separate answers as needed.)

2. Consider three charges in the figure below. Assume that distances between charges d1-d3=4.24 m, d2-6 m and ẞ1=ẞ2 and ẞ3-90°. Here d₁ is the distance between Q1 and Q3, d2 is distance between Q1 and Q2, and d3 is a distance between Q2 and Q3. The charges are Q1=7 C, Q2-6 C and Q3=7 C. Calculate the magnitude of electric field E at the points a) P₁ (x = 0, y = 2.12), b) P2 (x 2.12, y = 2.12). Q₁ d₂ d₁ B₁ P₁ P2 B3 B₂ Q2 X Q₂ d3