Physics for Scientists and Engineers
Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 30, Problem 8P

When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown in Figure P30.8, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin ωt represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is E max = μ 0 n A ω I max . (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose.

Figure P30.8

Chapter 30, Problem 8P, When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine

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When a wire carries an AC current with a known frequency, you can use a Rogowski coil to determine the amplitude Imax of the current without disconnecting the wire to shunt the current through a meter. The Rogowski coil, shown, simply clips around the wire. It consists of a toroidal conductor wrapped around a circular return cord. Let n represent the number of turns in the toroid per unit distance along it. Let A represent the cross-sectional area of the toroid. Let I(t) = Imax sin ωt represent the current to be measured. (a) Show that the amplitude of the emf induced in the Rogowski coil is εmax = μ0nAωImax. (b) Explain why the wire carrying the unknown current need not be at the center of the Rogowski coil and why the coil will not respond to nearby currents that it does not enclose.
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Chapter 30 Solutions

Physics for Scientists and Engineers

Ch. 30 - A coil formed by wrapping 50 turns of wire in the...Ch. 30 - When a wire carries an AC current with a known...Ch. 30 - A toroid having a rectangular cross section (a =...Ch. 30 - A small airplane with a wingspan of 14.0 m is...Ch. 30 - A helicopter (Fig. P30.11) has blades of length...Ch. 30 - A 2.00-m length of wire is held in an eastwest...Ch. 30 - A metal rod of mass m slides without friction...Ch. 30 - Prob. 14PCh. 30 - Prob. 15PCh. 30 - An astronaut is connected to her spacecraft by a...Ch. 30 - You are working for a company that manufactures...Ch. 30 - You are working in a laboratory that uses motional...Ch. 30 - You are working in a factory that produces long...Ch. 30 - You are working in a factory that produces long...Ch. 30 - Within the green dashed circle show in Figure...Ch. 30 - Prob. 22PCh. 30 - Prob. 23PCh. 30 - Figure P30.24 (page 820) is a graph of the induced...Ch. 30 - The rotating loop in an AC generator is a square...Ch. 30 - In Figure P30.26, a semicircular conductor of...Ch. 30 - Prob. 27PCh. 30 - Suppose you wrap wire onto the core from a roll of...Ch. 30 - A rectangular loop of area A = 0.160 m2 is placed...Ch. 30 - A rectangular loop of area A is placed in a region...Ch. 30 - A circular coil enclosing an area of 100 cm2 is...Ch. 30 - Consider the apparatus shown in Figure P30.32: a...Ch. 30 - A guitars steel string vibrates (see Fig. 30.5)....Ch. 30 - Why is the following situation impossible? A...Ch. 30 - A conducting rod of length = 35.0 cm is free to...Ch. 30 - Magnetic field values are often determined by...Ch. 30 - The plane of a square loop of wire with edge...Ch. 30 - In Figure P30.38, the rolling axle, 1.50 m long,...Ch. 30 - Figure P30.39 shows a stationary conductor whose...Ch. 30 - Prob. 40APCh. 30 - Figure P30.41 shows a compact, circular coil with...Ch. 30 - Review. In Figure P30.42, a uniform magnetic field...Ch. 30 - An N-turn square coil with side and resistance R...Ch. 30 - A conducting rod of length moves with velocity v...Ch. 30 - A long, straight wire carries a current given by I...Ch. 30 - A rectangular loop of dimensions and w moves with...Ch. 30 - A thin wire = 30.0 cm long is held parallel to...Ch. 30 - An induction furnace uses electromagnetic...Ch. 30 - Prob. 49CPCh. 30 - A betatron is a device that accelerates electrons...Ch. 30 - Review. The bar of mass m in Figure P30.51 is...
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