The drawing shows a copper wire (negligible resistance) bent into a circular shape with a radius of 0.54 m. The radial section BC is fixed in place, while the copper bar AC sweeps around at an angular speed of 19 rad/s. The bar makes electrical contact with the wire at all times. The wire and the bar have negligible resistance. A uniform magnetic field exists everywhere, is perpendicular to the plane of the circle, and has a magnitude of 4.1 x 10-³ T. Find the magnitude of the current induced in the loop ABC.
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- 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.L R = 5.00 Q X Xix x 1 |X X X X R P = FexV =8.50 J/s Fext W X xx x X X X X X X X X A rectangular wire loop of length L, width w, is pulled out of a constant, uniform magnetic field with constant velocity v. The loop has a resistance R. The magnetic field of magnitude B, points into the plane of the paper, and is confined to the rectangular region shown above. Work must be done on the loop at the rate of P, to move it through the magnetic field at constant velocity. Find the magnitude of the emf, & and the current I for the loop.A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.28 m. The normal to the plane of the loop is parallel to a constant magnetic field (p = 0°) of magnitude 0.82 T. What is the change AO in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) ΔΦ = i
- . A solenoid has radius 5.80 mm, length 11.0 cm, 5000 turns, and is placed with its axis of symmetry along the x-axis, through the origin. A vector normal to the opening of the solenoid points to the right. We measure the resistance of the solenoid to be 14.0 Ω. The solenoid is in a region where the temperature is 49.0°C and initially, there is an external magnetic field of 0.30 T in the +x direction. Then the magnetic field is turned off and drops to 0 T over 50.0 milliseconds a. What is the magnitude of the average induced emf during the 50.0 milliseconds while the magnetic field magnitude decreases to 0? b. What is the direction of the induced current, as viewed from the right? Answer clockwise, counterclockwise, or zero and show work or explain in words. c. What is the magnitude of the induced current? d. What is the magnitude and direction of the induced magnetic field?A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.27 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.87 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?A loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.22 m. The normal to the plane of the loop is parallel to a constant magnetic field (φ = 0˚) of magnitude 0.90 T. What is the change ΔΦ in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution?
- AsapA loop of wire has the shape shown in the drawing. The top part of the wire is bent into a semicircle of radius r = 0.30 m. The normal to the plane of the loop is parallel to a constant magnetic field (p = 0°) of magnitude 0.79 T. What is the change AO in the magnetic flux that passes through the loop when, starting with the position shown in the drawing, the semicircle is rotated through half a revolution? B (into paper) ΔΦ = > i * хA flat coil of wire has an area A, N turns, and a resistance R. It is situated in a magnetic field, such that the normal to the coil is parallel to the magnetic field. The coil is then rotated through an angle of 90°, so that the normal becomes perpendicular to the magnetic field. The coil has an area of 1.5 × 10-³ m², 50 turns, and a resistance of 1902. During the time while it is rotating, a charge of 6.7 × 10-5 C flows in the coil. What is the magnitude of the magnetic field? X
- A loop of wire with radius r=0.025m 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=0.65T to B2=6.5T in time Δt=3.5s. The resistance of the wire is R=15Ω. Part (a) Calculate, in Tesla squared meters, the magnitude of the change in the magnetic flux. Part (b) Calculate, in volts, the average EMF induced in the loop. Part (c) Calculate, in amperes, current induced in the loop.You wish to construct a solenoid with a diameter of 2.00 cm that will produce a magnetic field of 3.40 x 10-2T at its center when a current of 12.0 A is passing through the coils. You want the resistance of the coil wire to be 5.80 N. The resistivity of the wire used is 1.70 x 10-8 N •m (at 20.0°C), and you are using a wire that has a cross sectional area of 3.14 × 10-8 m2. (Note that this solenoid may not necessarily be so tightly wound that the adjacent loops of wire will touch each other. Nonetheless, you may assume that it behaves like an ideal solenoid.) Determine the following. (a) number of turns needed on the solenoid turns (b) length of the solenoid