You have a square loop with each side of length 'a' and a circular loop with radius 'a'. Both of these loops lie in the x-y-plane, where there is a uniform magnetic field B pointing at some angle 0 with respect to th positive z-direction. Each loop has the same number of coils and carries the same current, in the same direction. Therefore, the ratio of magnetic moments (u) in the loops, [square] / [circular] = O 1/ T O T 14 O 4/ T
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- Please answer with complete solution.A beam of electrons (of charge −e and mass me) is shot into a region of uniformmagnetic field with a speed of 35 m/s. They exit the region of uniform magnetic field opposite the direction they had entered. How strong must the magnetic field be such that each electron stayed in the region for a total of 70 ms? Answer should be in me/qe unit.Suppose that we observe that protons produced by an accelerator travel in a circular path of radius 8 cm in a uniform magnetic field whose magnitude is 3 T. What is the speed of these protons? Give your answer in units of 106 m/s.A conducting rod is free to move along 2 parallel conducting rails. On one end a resistor, R, connects the two rails which forms a circuit. The rails are oriented along the y axis of a coordinate system. There is a constant magnetic B aligned with the z axis making it perpendicular to the plane of the rails and rod. If the rod is given an initial velocity of vo, and hence a kinetic energy of m*vo2 /2, mathematically demonstrate that as the rod rounds to a stop in an infinite time the power lost in the resistor as heat is equal to the initial kinetic energy.
- A certain superconducting magnet in the form of a solenoid of length 0.30 m can generate a magnetic field of 10.0 T in its core when its coils carry a current of 80 A. The windings, made of a niobium-titanium alloy, must be cooled to 4.2 K. Find the number of turns in the solenoid. turnsYou have a square loop with each side of length 'a' and a circular loop with radius 'a'. Both of these loops lie in the x-y-plane, where there is a uniform magnetic field B pointing at some angle θ with respect to the positive z-direction. Each loop has the same number of coils and carries the same current, in the same direction. Therefore, the ratio of magnetic moments (μ) in the loops, [square] / [circular]Time left 0:47:22 As shown, a single loop (resistance R, width W, and length L) moves to the right at a constant speed of v = 5 m/s toward a region (indicated by the shaded area) of a uniform magnetic field directed into the page, of magnitude B = 2.9 T. Just as the loop passes a distance x through B, the force (in N) on the right side L must be: (Take R = 3 0, W= 25 cm, and length L= 45 cm] of W. OB 2.84 to the left-
- A positron with kinetic energy 2.90 keV is projected into a uniform magnetic field of magnitude 0.0760 T, with its velocity vector making an angle of 78.0° with the field. Find (a) the period, (b) the pitch p, and (c) the radius r of its helical path. (a) Number 4.7e-10 Units S (b) Number 9.87e-4 Units m (c) Number 7.39e-4 Units mA singly charged ion (an ion missing one electron) is injected perpendicular to a 0.205 T magnetic field with a velocity of 1250 m/s, and the ion moves in a circle of 22.7 mm radius. What is the molar mass of the ion in grams? (Remember to use grams and Avogadro's number to get molar mass. State the answer as an integer with no unit.) A Moving to another question will save this response. «>Determine the torque acting on the rectangular loop of height l and width w in a constant external magnetic field B~ shown below with angle θ between the area vector and theexternal magnetic field. Show that the torque can be written as τ = m × B, where m = Ia is called magnetic dipole moment, I is the current in the loop, and a = wln is area vector for the area bounded by the loop. For this problem, take B = Bx and the sides of length l to be parallel and n perpendicular to the z-axis.
- In Fig. 2, an electron with an initial kinetic energy of 5.0 keV enters region 1 at time t= 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.010 T. The electron goes through a half circle and then exits region 1, headed toward region 2 across a gap of 25.0 cm. There is an electric potential diference AV= 2000 V across the gap, with a polarity such that the electron's speed increases uniformly as it traverses the gap. Region 2 contains a uniform magnetic field directed out of the page, with magnitude 0.020 T. The elctron goes through a half circle and then leaves region 2. At what time t does it leave? (e= 1.6 × 10-19 C, mẹ = 9.11 × 10-3' kg) Region 1 I av AV Region 2 O B2 Fig. 2Find the energy per unit length stored in a cylindrical volume of inner and outer radii a and b, respectively if the external magnetic field is given by B = Bor2 where Bo is a constant and r is the cylindrical radial coordinate (to is the permeability of free space). Select one: A Bố (16 – a°) – a®) 6μο TBố (15 – a°) 5µ0 ° (b² – a") 7μο TBố (18 – a®) 8μο TBổ ( – a*) - 4µoA 50 g ball cointaining 406779288 excess electrons is dropped into a 122m vertical shaft and enters a uniform horizontal magnetic field of 0.242T(from east to west).Ignoring air resistance,find the magnitude of the force that this magnetic field exerts on the ball.Leave your answer in 12 decimal places(eg 1.23e-10) Round your answer to 12 decimal places.