Magnetic induction at a distance 10 m from center of circular coil of area 1m² carrying 10 A is 2 × 10-⁹ T 4 x 10-6 T (a) (c) (b) 4π × 10:⁹ T (d) 10-6 T
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Q: Dm Poe - at sin(wt), where do = = -2 The magnetic flux through the loop shown in the accompanying…
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- A current of 5 A passing through a coil of 50 turns produces à field of 2x10 4T at the center of the coil. The radius of the coil isProblem 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.QUESTION 5 a) A magnetic circuit consists of a toroidal silicon sheet steel with relative permeability 4, of 150, and a small air gap. A current I flows through 200 turns of wire wrapped around the toroid. The magnetic flux of the circuit is 5 x 10-9 Wb. The total length of the circuit is 0.8 m, and the cross-sectional area of the toroid is10-*m². The length of the air gap is 0.07 m. Find i. The total reluctance and inductance of the circuit ii. Magnetomotive force and hence the current. Ho = 4n x 10-7 H/m b) Differentiate between faraday law of electromagnetic induction and Lenz law and discuss their practical importance c) Using stokes theorem, prove that the divergence of curl of a vector is zero
- 59. A current of 0.1 A circulates around a coil of 100 turns and having a radius equal to 5 cm. The magnetic field set up at the centre of the coil is (мо = 4π × 10¯7 Wb/A-m) -5 ed (a) 4π x 10 T 6 ashapp (b) 8 x10-5 I Montoy -5 (c) 4 x 10 T od is noijoubo(d) 2 x 10-5 TbOSINA 130 turn , 2.10 cm diameter coil is at rest in a horizontal plane. A uniform magnetic field 60° away from vertical increases linearly from 0.620 T to 1.66 Tin 0.650 s. Figure 1 of 2 > Vertical 60° CoilsA coil of ten turns of area 0.01 m2 and resistance 5 Q is placed perpendicularly inside a magnetic field whose intensity and direction changes as given in the figure. B(T) 2 0.1 0.3 0.5 0.8 0.9 t(s) -2 QUESTION 5 How much power is dissipated by the coil at time = 0.6 seconds? O 0.2 W O 0.4 W O 0,5 W O None of these
- - at &m = - 2 The magnetic flux through the loop shown in the accompanying figure varies with time according to Poe sin(wt), where Do = 4 × 10-³ T · m², a = 5 s-¹, and w = 120 rad/s. What are the direction and magnitude of the current through the 5-0 resistor at (a) t = 0; (b) t = 2.17 × 10¯ s, and (c) t = 3.00 s? ' 5.0 Ω Hints mA at t = 0. a. Current mA at t b. Current mA at t c. Current ●tm B Select an answer Select an answer Select an answer with with with - 2 = = 2.17 × 10- S. = 3.00 s. -The figure shows four currents. The value of the line integral of the magnetic ficld B over the closed loop B.dl is 1°ri 8