Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Question
Chapter 29, Problem 37P
To determine
The number of loops of wire on the square armature.
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To ignite a mixture of gasoline and air inside an internal combustion engine--like in your
car--a spark is generated by a high voltage across the spark plug, usually in the 10's of
thousands of volts, but the battery is only 12 V. This massive increase in voltage is
achieved through a transformer called the 'ignition coil'. A typical ignition coil has a primary
with 300 turns wrapped around a radius of 2 cm over a linear distance of 15 cm. The
secondary has 60,000 turns of wire over the same cylinder. The spark is generated when
the current is suddenly shut off to the coil. Assuming that the magnetic field is uniform
inside the primary and secondary coils, and that all of the magnetic field lines that go
through the primary go through the secondary, what voltage is generated in the secondary
coil if the current in the primary coil drops from 10 A to 0 A at a steady rate over the
course of 50 mirco-seconds? Give your answer to 2 significant digits.
Hint: Remember the definition of flux…
To ignite a mixture of gasoline and air inside an internal combustion engine--like in your car--a spark is generated by a high voltage across the spark plug, usually in the 10's of thousands of volts, but the battery is only 12 V. This massive increase in voltage is achieved through a transformer called the 'ignition coil'. A typical ignition coil has a primary with 300 turns wrapped around a radius of 2 cm over a linear distance of 15 cm . The secondary has 60,000 turns of wire over the same cylinder. The spark is generated when the current is suddenly shut off to the coil. Assuming that the magnetic field is uniform inside the primary and secondary, and that all of the magnetic field lines that go through the primary go through the secondary, what voltage is generated in the secondary coil if the current drops from 10 A to 0 A at a steady rate over the course of 50 mirco-seconds? Give your answer to 2 significant digits.
At what angular velocity in rotation/min will the peak voltage of a generator be 540 V, if its 420–turn, 6.30 cm diameter coil rotates in a 0.290 T field? (You do not need to enter any units.)
Chapter 29 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 29.1 - Return to the Chapter-Opening Question, page 758,...Ch. 29.2 - Prob. 1BECh. 29.3 - In what direction will the electrons now in Fig....Ch. 29.5 - A bicycle headlight is powered by a generator that...Ch. 29.7 - Prob. 1EECh. 29 - Prob. 1QCh. 29 - What is the difference between magnetic flux and...Ch. 29 - Suppose you are holding a circular ring of wire...Ch. 29 - Prob. 4QCh. 29 - Is there a force between the two loops discussed...
Ch. 29 - Suppose you are looking along a line through the...Ch. 29 - The battery mentioned in Question 6 is...Ch. 29 - Prob. 8QCh. 29 - Prob. 9QCh. 29 - In situations where a small signal must travel...Ch. 29 - What is the advantage of placing the two insulated...Ch. 29 - Prob. 12QCh. 29 - A region where no magnetic field is desired is...Ch. 29 - A cell phone charger contains a transformer. Why...Ch. 29 - An enclosed transformer has four wire leads coming...Ch. 29 - The use of higher-voltage lines in homessay, 600 V...Ch. 29 - Prob. 17QCh. 29 - Prob. 18QCh. 29 - Prob. 19QCh. 29 - Will an eddy current brake (Fig. 2921) work on a...Ch. 29 - It has been proposed that eddy currents be used to...Ch. 29 - The pivoted metal bar with slots in Fig. 2935...Ch. 29 - If an aluminum sheet is held between the poles of...Ch. 29 - A bar magnet falling inside a vertical metal tube...Ch. 29 - A metal bar, pivoted at one end, oscillates freely...Ch. 29 - Since a magnetic microphone is basically like a...Ch. 29 - Prob. 1PCh. 29 - (I) The north pole of the magnet in Fig. 2936 is...Ch. 29 - Prob. 3PCh. 29 - (I) A 22.0-cm-diameter loop of wire is initially...Ch. 29 - Prob. 5PCh. 29 - (II) A 10.8-cm-diameter wire coil is initially...Ch. 29 - (II) A 16-cm-diameter circular loop of wire is...Ch. 29 - (II) (a) If the resistance of the resistor in Fig....Ch. 29 - Prob. 9PCh. 29 - (II) The magnetic field perpendicular to a...Ch. 29 - (II) A circular loop in the plane of the paper...Ch. 29 - (II) Part of a single rectangular loop of wire...Ch. 29 - (II) While demonstrating Faradays law to her...Ch. 29 - Prob. 14PCh. 29 - (II) A 22.0-cm-diameter coil consists of 28 turns...Ch. 29 - (II) A power line carrying a sinusoidally varying...Ch. 29 - (II) The magnetic field perpendicular to a single...Ch. 29 - Prob. 18PCh. 29 - (II) A 25-cm-diameter circular loop of wire has a...Ch. 29 - (II) The area of an elastic circular loop...Ch. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - (II) Inductive battery chargers, which allow...Ch. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - (I) The moving rod in Fig. 2912b is 13.2 cm long...Ch. 29 - (I) The moving rod in Fig. 2912b is 12.0 cm long...Ch. 29 - Prob. 29PCh. 29 - (II) If the U-shaped conductor in Fig. 2912a has...Ch. 29 - (II) Suppose that the U-shaped conductor and...Ch. 29 - (II) When a car drives through the Earths magnetic...Ch. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - (III) A short section of wire, of length a, is...Ch. 29 - (I) The generator of a car idling at 875-rpm...Ch. 29 - Prob. 37PCh. 29 - (II) A simple generator has a 480-loop square coil...Ch. 29 - (II) Show that the rms output of an ac generator...Ch. 29 - (II) A 250-loop circular armature coil with a...Ch. 29 - Prob. 41PCh. 29 - (I) A motor has an armature resistance of 3.05 ....Ch. 29 - (II) What will be the current in the motor of...Ch. 29 - (II) The back emf in a motor is 85 V when the...Ch. 29 - Prob. 45PCh. 29 - (I) A transformer has 620 turns in the primary...Ch. 29 - (I) Neon signs require 12 kV for their operation....Ch. 29 - (II) A model-train transformer plugs into 120-V ac...Ch. 29 - (II) The output voltage of a 75-W transformer is...Ch. 29 - (II) If 65 MW of power at 45 kV (rms) arrives at a...Ch. 29 - Prob. 51PCh. 29 - (III) Design a dc transmission line that can...Ch. 29 - (III) Suppose 85 kW is to be transmitted over two...Ch. 29 - Prob. 54PCh. 29 - (II) The betatron, a device used to accelerate...Ch. 29 - (III) Show that the electrons in a betatron,...Ch. 29 - (III) Find a formula for the net electric field in...Ch. 29 - Prob. 58GPCh. 29 - A square loop 27.0 cm on a side has a resistance...Ch. 29 - Power is generated at 24 kV at a generating plant...Ch. 29 - Prob. 61GPCh. 29 - Prob. 62GPCh. 29 - A pair of power transmission lines each have a...Ch. 29 - Show that the power loss in transmission lines,...Ch. 29 - A high-intensity desk lamp is rated at 35 W but...Ch. 29 - Prob. 66GPCh. 29 - A coil with 150 turns, a radius of 5.0 cm, and a...Ch. 29 - A search coil for measuring B (also called a flip...Ch. 29 - A ring with a radius of 3.0 cm and a resistance of...Ch. 29 - A flashlight can be made that is powered by the...Ch. 29 - A small electric car overcomes a 250-N friction...Ch. 29 - What is the energy dissipated as a function of...Ch. 29 - A thin metal rod of length rotates with angular...Ch. 29 - The magnetic field of a shunt-wound dc motor is...Ch. 29 - Prob. 75GPCh. 29 - A circular metal disk of radius R rotates with...Ch. 29 - What is the magnitude and direction of the...Ch. 29 - Prob. 78GPCh. 29 - Prob. 79GPCh. 29 - Prob. 80GP
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- (III) A toroid is a solenoid in the shape of a donut (Fig. 20–60). Use Ampère's law along the circular paths, shown dashed in Fig. 20–60a, to determine that the mag- netic field (a) inside the toroid is B = µoNI/2#R, where N is the total number of turns, and (b) outside the toroid is B = 0. (c) Is the field inside a toroid uniform like a solenoid’s? If not, how does it vary? R Path 1 Path 2 (a) (b) FIGURE 20-60 Problem 49. (a) A toroid or torus. (b) A section of the toroid showing direction of the current for three loops: O means current toward you, and ® means current away from you.arrow_forwardProblem 7)) Consider a transformer, used to recharge rechargeable flashlight batteries, that has 500 turns in its primary coil, 4 turns in its secondary coil, and an input voltage of 120 V. Note that n = 4 (a) Given that the input current I(p) is 0.0256 A, to produce a 3.2 A output current, convert 0.0256 A to milliamps. I(p) = Part (c) What is the power input, in watts? (Explain thoroughly whether or not you use amps or milliamps for this calculation)arrow_forwardA brushless DC motor does not have a commutator. Explain why.arrow_forward
- #8arrow_forward9) A conducting bar moves along frictionless conducting rails connected to a 4.00- resistor as shown in the figure. The length of the bar is 1.60 m and a uniform magnetic field of 2.20 T is applied perpendicular to the paper pointing outward, as shown. (a) What is the applied force required to move the bar to the right with a constant speed of 6.00 m/s? (b) At what rate is energy dissipated in the 4.00 Q resistor? 4.00 1.60 m Fapplied Magnetic field is outward (•) Wwwarrow_forward6) S R b N а +| E Emk ɛ = 400V, resistor R = 100, switch S and a toroid of N = 104 number of turns are connected in series as shown in the figure. Height, Inner and outer radii of the toroid are h = 10cm, a = 10cm and b = 20cm respectively. No current flows through the toroid. Now the switch S is thrown dlosed at t=0. What is the energy of the toroid at t=0,4s. Ho = 4 × 10-7() a) 18,36J b) 162,7J c) 491,75J d) 993,65J e) 1641,56Jarrow_forward
- (i) Calculate the magnitude of the induced current in the circuit. (ii) State the direction of induced current in the metal bar.arrow_forwardThe maximum induced emf in a generator rotating at 200 rpm is 40 V. How fast must the rotor of the generator rotate if it is to generate a maximum induced emf of 56 V? Express your answer using two significant figures.arrow_forwardSuppose a generator has a peak voltage of 205 V and its 500 turn, 5.5 cm diameter coil rotates in a 0.15 T field. What frequency in rpm must the generator be operating at?arrow_forward
- She then uses a permanent magnet of strength B = 0.5 mT to induce a voltage in the (same) coil. Calculate the expected voltage if she pulls the magnet from the coil in 0.03 seconds.arrow_forward(2). A circular coil has 0.3 m diameter with 30 turns of wire, lies in a horizontal plane. It carries a current of 30 A in a counterclockwise sense when viewed from above. The coil is in a uniform magnetic field directed toward the right as shown in the Fig. with magnitude of 14000 G. Calculate,arrow_forwardFrom time to time, transformers explode. If your neighborhood has ever lost power all at once, this is likely to be one of the reasons. To illuminate why this happens, consider the transformer box in your neighborhood: It needs to take the 7200 V from the power lines and transform it to 120 V, which you will use in your home. (a) If the secondary coil has 40 turns, how many turns does the primary coil have? (b) If the 7200 V coil and the 120 V coil are separated by a distance of 30 cm, calculate the electric field that exists between them. (c) How much energy is stored in this electric field, if the total volume enclosed between the transformer is 0.6 m³? Do you think this is enough to cause an explosion? [If you're curious, the real reason is because they contain a mineral oil that is used for insulation. If there is a short circuit, lightning strike, or if the temperature otherwise gets too high, the oil begins to vaporize, forming bubbles of hydrogen and methane, which is highly…arrow_forward
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