A conducting ring of electrical resistance R = 4.0 [2] and radius r = 2.0 [m] is inside an external magnetic field B=6t (T), where t is measured in seconds and whose direction is towards the inside of the page as shown in the figure. What is the magnitude of the induced current for t>0? Express your answer in Amperes and with 2 decimal places of precision. X X X X X X X ring X X X X X X X X X
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- A conducting rod spans a gap of length L = 0.234 m and acts as the fourth side of a rectangular conducting loop, as shown in the figure. A constant magnetic field B = 0.35 T pointing into the paper is in the region. The rod is moving under an external force with an acceleration a = At2, where A = 2.5 m/s4. The resistance in the wire is R = 25 Ω. Express the position of the rod, x, in terms of A and t. Assume x = 0 at t = 0.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.The graph shows the relationship between the magnetic field (B in mT) at the center of a solenoid and the current I (in A). If the solenoid is composed of 33 turns, what is its length in cm? Given that μ = 1.26x10-6 T.m/A B(mT) Round your answer to 1 decimal place. Your Answer: 0.045195 Incorrect The answer is 46.2 ± 5%. Y= 0.092 X + 0.2 I(A)
- The figure below shows a loop of wire of radius r = 0.860 m and resistance R = 0.0250 2 inside a region of spatially constant magnetic field with time dependent magnitude B = bt Find the time at which the net magnetic field at the center of the loop vanishes. i X X X X X x X X R x x X x X X S r B X X X x X X X X X XA square coil of wire of side 2.35 cm is placed in a uniform magnetic field of magnitude 2.50 T directed into the page as in the figure shown below. The coil has 25.0 turns and a resistance of 0.780 . If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. x xx x X X X xxx x xx x X Rotation axis (a) the magnitude of the average emf induced in the coil during this rotation mV (b) the average current induced in the coil during this rotation MAA magnetic field has a magnitude of 0.0527 T and is uniform over a circular surface whose radius is 0.226 m. The field is oriented at an angle of 27.9o with respect to the normal to the surface. What is the magnetic flux through the surface?
- The loop in the figure has a resistance of 2.5 2 and is being pulled to the right at 1.0 m/s. X X X||X × X 2.0 T X||X 1.0 T 2.0 m X X X ||× × X X X X X • 2.0 m 2.0 m (a) Find the total magnetic flux through the loop, directed into the page, at the time instant shown. b)In the above problem, find the total magnetic flux through the loop, directed into the page, 2.0 s later. (c) In the above problem, find the magnitude of the induced current in the loop during this 2.0 s interval.A loop of wire with radius r=0.075m is placed in a region of uniform magnetic field with magnitude B. As shown in the figure, the field direction is perpendicular to the plane of the loop. The magnitude of the magnetic field changes at a constant rate from B1=0.55T to B2=1.5T in time Δt=5.5s. The resistance of the wire is R=6Ω A. Calculate, in Tesla squared meters, the magnitude of the change in the magnetic flux. B. Calculate, in volts, the average EMF induced in the loop. C. Calculate, in amperes, current induced in the loop.A cylindrical bar magnet of radius 1.00 cm and length 10.0 cm has a magnetic dipole moment of magnitude m = 2.00 A · m2. What is the magnetization M, assuming it to be uniform in the magnet? Answer in x10^4(A/m)
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