Problem 9: A loop of wire with radius r= 0.199 m is in a magnetic field with magnitude B as shown in the graph. B changes from B,-0.23 T to B,-8.5 T in Δ at a constant rate 5.5 s Randomized Variables r= 0.199 m B ,-0.23 T B2 8.5 T At-5.5 s Δ Part (a) Express the magnetic flux Φ going through a loop of radius r assuming a constant magnetic field B ΔΙ 4 5 6 BACKSPA CLEAR Submit Hint I give up! Hints: 1 %) deduction per hint. Hints remaining: 2 Feedback: 1% deduction per feedback. Part (b) Express the change in the magnetic flux going through this loop, ΔΦ, in terms of B1, B2 and ir. Part (c) Calculate the numerical value ofΔΦ in T-m -| Δ Part (d) Express the magnitude of the average induced electric field, E, induced in the loop in terms of ΔΦ, r and Δ Δ Part (e) Calculate the numerical value of E in N/C

A 8.00-cm-long wire is pulled along a U-shaped conducting rail in a perpendicular magnetic field. The total resistance of the wire and rail is 0.340 2. Pulling the wire at a steady speed of v= 4.00 m/s causes 4.30 W of power to be dissipated in the circuit. /myct/itemView?assignmentProblemID=195605... 34² F2 A 3 E D 80 F3 $ 4 R F a F4 V % L 5 T 0 F5 A 6 B Part A How big is the pulling force? Express your answer with the appropriate units. ► View Available Hint(s) F= Part B Y Submit FO Submit Provide Feedback B = Value What is the strength of the magnetic field? Express your answer with the appropriate units. ► View Available Hint(s) H Value & 7 μÀ μÅ ← F7 N U 3 8 J C FO ? Units Units DII FB 1 M PwC ? 10. 9 K D F9 O 30 a F10 L P 4 F11 + F12

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.

You wish to produce a 10 V potential difference along the length of a 0.2 m long metal rod by moving it through a magnetic field. If the field has a strength of 2 T, what minimum speed would be needed? 2 m/s 10 m/s 20 m/s