Concept explainers
The order of arrangement of emfs
Answer to Problem 1OQ
The order of arrangement of emfs is
Explanation of Solution
Write the equation for the induced emf in the coil.
Here,
The point
Conclusion:
Therefore, the order of arrangement of emfs is
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Chapter 23 Solutions
Principles of Physics
- Figure P23.58 is a graph of the induced emf versus time for a coil of N turns rotating with angular speed ω in a uniform magnetic field directed perpendicular to the coil’s axis of rotation. What If? Copy this sketch (on a larger scale) and on the same set of axes show the graph of emf versus t (a) if the number of turns in the coil is doubled, (b) if instead the angular speed is doubled, and (c) if the angular speed is doubled while the number of turns in the coil is halved. Figure P23.58arrow_forwardA bar magnet is held in a vertical orientation above a loop of wire that lies in the horizontal plane as shown in Figure OQ23.13. The south end of the magnet is toward the loop. After the magnet is dropped, what is true of the induced current in the loop as viewed from above? (a) It is clockwise as the magnet falls toward the loop. (b) It is counterclockwise as the magnet falls toward the loop. (c) It is clockwise after the magnet has moved through the loop and moves away from it. (d) It is always clockwise. (e) It is first counterclockwise as the magnet approaches the loop and then clockwise after it has passed through the loop.arrow_forwardA loop of wire in the shape of a rectangle of width w and length L and a long, straight wire carrying a current I lie on a tabletop as shown in Figure P23.7. (a) Determine the magnetic flux through the loop due to the current I. (b) Suppose the current is changing with time according to I = a + bt, where a and b are constants. Determine the emf that is induced in the loop if b = 10.0 A/s, h = 1.00 cm, w = 10.0 cm, and L = 1.00 m. (c) What is the direction of the induced current in the rectangle? Figure P23.7arrow_forward
- A coil has 180 turns enclosing an area of 10.4 cm2cm2 . In a physics laboratory experiment, the coil is rotated during the time interval 0.046 ss from a position in which the plane of each turn is perpendicular to Earth's magnetic field to one in which the plane of each turn is parallel to the field. The magnitude of Earth's magnetic field at the lab location is 5.00×10−5 TT . What is the magnitude of the average emf induced in the entire coil?arrow_forwardA conducting circular loop of wire with radius 0.0300 m and resistance 0.40 Ω sits in a region of spatially uniform magnetic field, as shown in the figure. The magnetic field is directed into the plane of the figure and it changes in time with the expression B(t) = 1.080 T - (0.360 T/s )∙t (here T represents the unit Tesla and t is the time)a) Give the magnetic flux through the loop as a function of time.b) Give the EMF induced in the loop as a function of time.c) Calculate the induced current at time t = 1.0 s. Show the steps that lead to youranswers.d) What is the direction of the current in the loop at t = 1.0 s? Explain/justify youranswerarrow_forwardA technician wearing a circular metal band on his wrist moves his hand (from a region where the magnetic field is zero) into a uniform magnetic field of magnitude 1.6 T in a time of 0.20 s. If the diameter of the band is 5.0 cm and the field is at an angle of 45° with the plane of the metal band while the hand is in the field, find the magnitude of the average emf induced in the band.arrow_forward
- A 200-turn flat coil of wire 30.0 cm in diameter acts as an antenna for FM radio at a frequency of 100 MHz. The magnetic field of the incoming electromagnetic wave is perpendicular to the coil and has a maximum strength of 1.00 × 10−12 T . (a) What power is incident on the coil? (b) What average emf is induced in the coil over one-fourth of a cycle? (c) If the radio receiver has an inductance of 2.50 μH , what capacitance must it have to resonate at 100 MHz?arrow_forwardSuppose a 50-turn coil lies in the plane of the page in a uniform magnetic field that is directed into the page. The coil originally has an area of 0.250m2 . It is stretched to have no area in 0.100 s. What is the direction and magnitude of the induced emf of the uniform magnetic field has a strength of 1.50 T?arrow_forwardA conducting rod of length L = 32.0 cm slides over two horizontal metal bars with a constant speed v to the right through a distance Δx in a time Δt. The entire set up is in a region of uniform magnetic field of magnitude 1.65 T that is directed perpendicular to the rods and out of the page. (a) If the induced emf has a magnitude of 1.00 V, what is the speed with which the rod moves? m/sarrow_forward
- (a) A 12.0 m long, thin, uniform steel beam slides south at a speed of 21.0 m/s. The length of the beam maintains an east-west orientation while sliding. The vertical component of the Earth's magnetic field at this location has a magnitude of 44.0 µT. What is the magnitude of the induced emf between the ends of the beam (in mV)? mV (b) What If? The west end of the beam impacts and sticks to a pylon, causing the beam to rotate clockwise as viewed from above. While the beam rotates, what is the magnitude of the induced emf between the ends of the beam (in mV)? (Hint: use conservation of angular momentum to find the speed of the beam after the collision.) mVarrow_forwardA circular loop of wire with a radius of 4.0 cm is in a uniform magnetic field of magnitude 0.061 T. The plane of the loop is perpendicular to the direction of the magnetic field. In a time interval of 0.40 s, the magnetic field changes to the opposite direction with a magnitude of 0.050 T. What is the magnitude of the average emf induced in the loop?arrow_forwardA conducting wire loop lies in the plane of the screen, in a region where there's a uniform magnetic field directed into the screen. The loop has radius a and resistance R. Starting at t = 0, the field changes as a function of time, B(t) = B0 e-ct where c and B0 are constants. (a) Write an expression for the magnetic flux through the loop as a function of time. (b) What is the magnitude of the emf induced in the loop? (c) Calculate the power output of the loop as a function of time. (d) Use your answer from part (c) to obtain the total energy dissipated in the resistance of the loop as the field goes from B = B0 at t = 0 to B = 0 at large times. If you couldn't get (c), you can receive partial credit by describing a solution to this part assuming some function P(t) for the power as a function of time.arrow_forward
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