In the figure, a rectangular loop of wire with length a = 3.8 cm, width b = 1.2 cm, and resistance R = 0.51 mis placed near an infinitely long wire carrying current i = 3.1 A. The loop is then moved away from the wire at a constant speed v = 5.4 mm/s. When the center of the loop is at distance r = 2.2 cm, what are (a) the magnitude of the magnetic flux through the loop and (b) the current in amperes induced in the loop?

Figure (a) shows an element of length ds = 1.26 um in a very long straight wire carrying current. The current in that element sets up a differential magnetic field aB at points in the surrounding space. Figure (b) gives the magnitude dB of the field for points 3.6 cm from the element, as a function of angle between the wire and a straight line to the point. The vertical scale is set by dB = 60.0 pT. What is the magnitude of the magnetic field set up by the entire wire at perpendicular distance 3.6 cm from the wire? Number i Units dB (pT) dB₂ 0 μT (a) π/2 9 (rad) (b) Wire 2

Problem 10: A magnetic needle with magnetic moment μ-0.065 Am2 is placed in a uniform magnetic field B0.65 T as shown in the figure. The angle between the direction of the magnetic moment and the direction of the magnetic field is θ 250 Randomized Variables μ= 0.065 Arn B- 0.65T θ 250 Δ Part (a) Express the potential energy U in terms oft, B, θ. | cos(p) sin(p) | cos(α) sin(a) cos(0) sin(0) ( HOMI 4 5 6 BACKSPACE CLEAR Submit Hint I give up! Hints: 1% deduction per hint. Hints remaining: 1 Feedback: 1% deduction per feedback. Part (b) Calculate the numerical value of U in J. Part (c) If θ can be changed, which value has the minimum potential energy? Part (d) If θ can be changed, which value has the maximum potential energy in degrees? Δ Part (e) Ignore the mass of the needle, express the work needed to change the angle from θ to α in terms oftı, B, θ, α Part (f) If α-1500, calculate the numerical value of the work in J.

A very long straight wire carrying an electric current is perpendicular to the x-y plane. The current has a value of 26.7 A and is directed in the +z (out of the page). At point 'p', the magnetic field B is represented by one of the arrows. y (cm) 9 8 7 6 5 4 3 2 1 0 0 1 2 3 4 5 6 7 8 9 10 wire U T x (cm) Indicate the direction of the magnetic field at point 'p'. T: The direction of the magnetic field is .... Previous Tries You are correct. Your receipt no. is 158-4654 Calculate the magnitude of the B-field at 'p'. 1.78x10^-4 Submit Answer Units required. Units required. Tries 1/99 Previous Tries Calculate the x-component of the B-field at 'p'. Submit Answer Tries 0/99