The accompanying figure shows a rectangular coil consisting of 40 closely spaced turns that has a resistance of 4.00. The magnetic field at all points inside the coil varies according to B = Beat, where Bo = 0.90 T and x = 200 s¹ B (b) 0.002 s X X (c) 2.0 s x x x x x x x x x -5.0 cm- x What is the current induced in the coil (in A) at the following times? (Enter the magnitudes.) (a) 0.001 s 2.0 cm
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- A helicopter (see figure below) has blades of length 2.80 m; extending out from a central hub and rotating at 3.40 rev/s. If the vertical component of the Earth's magnetic field is 50.0 μT, what is the magnitude of emf induced between the blade tip and the center hub? mV Sascha Hahn/Shutterstock.comL 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.X X X X x'X The square conducting loop shown in the figure lies in the r-y plane. The loop is in a uniform magnetic field at a particular instant and the field that points into the paper/screen. The magnitude of the magnetic field begins to decrease at a rate of 7.5 T/s. What is the induced electric current (in A) in the loop? Assume the resistance is 66.7 N and the length of each side of the loop is 5.6 m. State your answer correct to 1 decimal point. Use a period (full stop) for the decimal point. Do not include units in your answer. ×区××
- The current in a long solenoid of radius 6 cm and 22 turns/cm is varied with time at a rate of 3 A/s. A circular loop of wire of radius 8 cm and resistance 7 0 surrounds the solenoid. Find the electrical current induced in the loop (in HA). HAProblem 2. An a by b loop is pulled in the x- direction with the velocity v relative to a straight wire with a constant current I, see figure. Find the force that the wire produces on the loop. I b R пи ν 0 I ४ a x + aGg
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- The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is R = 5.00 , and a 2.50-T magnetic field is directed perpendicularly downward, into the page. Let l = 1.20 m. R X * X x X X xxxxxx X e xxxxx X X xxxx x x xx x x x xx x xxx xxx x → X x> * X X *F X x X X Bin app (a) Calculate the applied force required to move the bar to the right at a constant speed of 1.70 m/s. N (to the right) (b) At what rate is energy delivered to the resistor? W4. A 12-cm by 5.0-cm rectangular loop consisting of 15 turns of 1.0-mm diameter copper wire is normal to a uniform magnetic field that is initially 24 mT into the page. X X #3 X X X X X X x X X x x A CCW current is induced in the loop, and this current begins at 4.6 mA and increases linearly to 5.9 mA after 2.0 s. Calculate the magnetic field 5.0 s later.A single loop of wire encloses an area of 3.5 x 10-² m². It is in a magnetic field that changes from +0.72 T to -0.25 T in a time of 0.060 s. Initial Final хххх X X/X X х B = 0.72 T хххв = What is the induced emf and the direction of current flow in the loop? хххх хх X X X B = 0.25 T