In the figure, a metal wire of mass m = 28.9 mg can slide with negligible friction on two horizontal parallel rails separated by distance d = 2.62 cm. The track lies in a vertical uniform magnetic field of magnitude 51.2 mT. At time t=0 s, device G is connected to the rails, producing a constant current i = 7.16 mA in the wire and rails (even as the wire moves). At t = 64.0 ms, what are the wire's (a) speed and (b) direction of motion? (a) Number (b) m 727 Units
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A: mass of metal wire (m) = 30 mg = 0.00003 kg d = 1.36 cm = 0.0136 m B = 65.2 mT = 0.0652 T I =7.80 mA…
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- A bar slides to the right at a constant speed of 2.1 m/s on two frictionless rails. The resistance of resistor R is 5.2 Q, and a 2.5 T constant magnetic field is directed perpendicularly downward, into the page. Let e = 1.2 m. Bin x x app x x (a) Find the current passing through the resistor. A I = (b) The direction of magnetic force on the moving bar is O No magnetic force O Right O Left O Out of the page O Into the page 1 x x x X x x x x X X x x * * x x x * * x x x x x x xx X X x xAn aluminum bar of length l = 7.00 cm slides along metal rails through a magnetic field B = 2.40 T. The switch closes at t = 0 s, while the bar is at rest, and a battery of emf εbat = 4.16 V starts a current flowing around the loop. Solve for the terminal velocity if the battery has an internal resistance r = 0.240 Ω and the resistance of the rails and the bar are negligible.In the figure, a metal wire of mass m = 20.7 mg can slide with negligible friction on two horizontal parallel rails separated by distance d = 3.78 cm. The track lies in a vertical uniform magnetic field of magnitude 56.4 mT. At time t = 0 s, device G is connected to the rails, producing a constant current i = 9.21 mA in the wire and rails (even as the wire moves). At t = 78.4 ms, what are the wire's (a) speed and (b) direction of motion? (a) Number (b) A i Jak Units B B A
- A solid conducting bar is free to move across two ends of a conducting U shape of wire that are separated by L=25 cm. On the base of the U shape is a resistor R=20 ohms. The whole apparatus is in a constant magnetic field B=0.7 T pointing out of the page. If the conducting bar has negligent resistance itself and is moved to the right at a constant velocity of 12 m/s, what is the magnitude and direction of the current induced in the loop? a) 0.11 A, clockwise b) 0.11 A, counterclockwise c) 2.1 A, clockwise d) 2.1 A, counterclockwiseA loop of wire of radius a = 35 mm has an electrical resistance R = 0.038 Ω . The loop is initially inside a uniform magnetic field of magnitude B0 = 1.8 T parallel to the loop's axis. The magnetic field is then reduced slowly at a constant rate, which induces a current I = 0.20 A in the loop. How long does it take for the magnitude of the uniform magnetic field to drop from 1.8 T to zero? Find the time Δt it takes the magnetic field to drop to zero.A loop of wire with radius r= 0.183 m is in a magnetic field of magnitude B as shown in the figure. The magnetic field is perpendicular to the plane of the loop. B changes from B1= 0.22 T to B2= 7.5 T in Δt = 7.5 s at a constant rate. (a) Express the magnetic flux Φ going through a loop of radius r assuming a constant magnetic field B. (b) Express the change in the magnetic flux going through this loop, ΔΦ, in terms of B1, B2 and r. (c) Express the magnitude of the average induced electric field, E, induced in the loop in terms of ΔΦ, r and Δt.
- A proton has a velocity of 1.1X10^2 m/s î +1.8X10^2 m/s ĵ and is located in the z=0 plane at x=3.4m, y=3.6m at some time t=T. Find the magnetic field in the z=0 plane at the following at x=1.9m, y=1.9m.In the figure, an electron with an initial kinetic energy of 3.80 keV enters region 1 at time t = 0. That region contains a uniform magnetic field directed into the page, with magnitude 0.00620 T. The electron goes through a half-circle and then exits region 1, headed toward region 2 across a gap of 22.0 cm. There is an electric potential difference 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 0.0157 T. The electron goes through a half-circle and then leaves region 2. At what time t does it leave? B₁ Region 1 Number i Units Region 2 OB₂Asap
- A square wire loop (side length 1.5 m) is oriented so that it is perpendicular to an external magnetic field B, with half the area of the loop embedded in the field, as shown below. The loop contains a battery with a constant emf Eb = 7.2 V and a resistor R = 3.2 Ω. The external magnetic field is B(t) = [0.027 T − (0.56 T/s) t] î where î is out of the page. (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Findtheemfproducedbyinductionintheloop. (b) Findthenetcurrentintheloopfromboththeinducedemfandthebattery. (c) What direction is the current in? (a) Find the emf produced by induction in the loop. (b) Find the net current in the loop from both the induced emf and the battery. (c) What direction is the current in?In the figure below, an iron bar sitting on two parallel copper rails, connected to each other by a resistor, is pulled to the right with a constant force of magnitude F = 1.25 N. The friction between the bar and rails is negligible. The resistance R = 8.00 02, the bar is moving at a app constant speed of 2.25 m/s, the distance between the rails is e, and a uniform magnetic field B is directed into the page. R i (a) What is the current through the resistor (in A)? 0.5929 A Fapp (b) If the magnitude of the magnetic field is 2.60 T, what is the length / (in m)? 0.81 m (c) What is the rate at which energy is delivered to the resistor (in W)? 2.812 ✓ W (d) What is the mechanical power delivered by the applied constant force (in W)? W What If? Suppose the magnetic field has an initial value of 2.60 T at time t = 0 and increases at a constant rate of 0.500 T/s. The bar starts at an initial position x = 0.100 m to the right of the resistor at t = 0, and again moves at a constant speed of 2.25…I have tried 16.7x10^3, 16.7x10^4, and 1.365x10^8 and those are all wrong for the first part. I know that the second part is 14.3 hr. I need to know the km/s. Thank you!!