In the figure, a metal rod is forced to move with constant velocity along two parallel metal rails, connected with a strip of metal at one end. A magnetic field of magnitude B = 0.343 T points out of the page. (a) If the rails are separated by 36.3 cm and the speed of the rod is 65.8 cm/s, what is the magnitude of the emf generated in volts? (b) If the rod has a resistance of 16.90 and the rails and connector have negligible resistance, what is the current in amperes in the rod? (c) At what rate is energy being transferred to thermal energy? (a) Number i (b) Number (c) Number i Units Units Units B <
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- A circular coil enclosing an area of 200 cm2 is made of 190 turns of copper wire. The wire making up the coil has resistance of 7.0 Ω, and the ends of the wire are connected to form a closed circuit. Initially, a 1.8-T uniform magnetic field points perpendicularly upward through the plane of the coil. The direction of the field then reverses so that the final magnetic field has a magnitude of 1.8 T and points downward through the coil. If the time required for the field to reverse directions is 0.50 s, what is the average current in the coil during that time?AThe loop in the figure is being pushed into the 0.20 T magnetic field at 45 m/s . The resistance of the loop is 0.50 N. (Figure 1) You may want to review (Pages 849 - 851) . Figure 1 of 1 V В 5.0 cmA loop of wire moves with a velocity of 3.0 m/sm/s through a magnetic field whose strength decreases with distance at a rate of 5.0 μT/m�T/m. If the loop has an area of 0.75 m2m2 and internal resistance of 0.50 ΩΩ, what is the current in the wire?
- At a certain place, Earth's magnetic field has magnitude B =0.806 gauss and is inclined downward at an angle of 71.1° to the horizontal. A flat horizontal circular coil of wire with a radius of 13.1 cm has 939 turns and a total resistance of 73.9 Q. It is connected to a meter with 130 Q resistance. The coil is flipped through a half-revolution about a diameter, so that it is again horizontal. How much charge flows in coulombs through the meter during the flip? Number UnitsA square coil of wire of side 2.95 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 38.0 turns and a resistance of 0.780 S If the coil is rotated through an angle of 90.0° about the horizontal axis shown in 0.335 s, find the following. Rotation axis x x x x x x x x x x (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 MAAn astronaut is connected to her spacecraft by a 29-m-long tether cord as she and the spacecraft orbit Earth in a circular path at a speed of 4.1 103 m/s. At one instant, the voltage measured between the ends of a wire embedded in the cord is measured to be 0.44 V. Assume the long dimension of the cord is perpendicular to the vertical component of Earth's magnetic field at that instant. (a) What is the magnitude of the vertical component of Earth's field at this location? uT(b) Does the measured voltage change as the system moves from one location to another? Explain.
- As shown in the figure, a rectangular loop with a length e of 20.0 cm and a width w of 15.0 cm has 20 turns and carries a current of 0.41 A counterclockwise around the loop when viewed from the positive x-axis. A horizontal (parallel to the x-z plane) magnetic field of magnitude 0.047 T is oriented at an angle of 65° relative to the perpendicular to the loop (the positive x-axis). (Assume the length and width are measured along the z and y-axes, respectively.) -x-z planeA coil has a radius of .351 m and 500 turns. From an original orientation with its plane perpendicular to the direction of a uniform magnetic field, the coil is rotated 1/4 of a revolution in 4.21 ms. Find the magnitude in Tesla, of the magnetic field strength required to induce an average emf of 9.53 kV.You have a closed square loop of wire with length 44cm and a resistance of 750Ω. If there is a magnetic field of strength 0.2T going perpendicular through the loop at what rate (in T /s) does the magnetic field have to change in order to have a current of 0.2A through the loop?
- A coil of wire containing four circular loops with radius 0.4 m lies in the plane of the page. A uniform magnetic field points into the page, increasing from 0.4 T to 0.6 T in 0.2 s. Find the magnitude and direction of the emf generated in the coil.A conducting rod of length ℓ = 35.0 cm is free to slide on two parallel conducting bars as shown in the figure below. Two resistors R1 = 2.00 Ω and R2 = 5.00 Ω are connected across the ends of the bars to form a loop. A constant magnetic field B = 2.90 T is directed perpendicularly into the page. An external agent pulls the rod to the left with a constant speed of v = 7.80 m/s. Find the following. a) the currents in both resistors b) the total power delivered to the resistance of the circuit c) the magnitude of the applied force that is needed to move the rod with this constant velocityA 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.