The transformer described in the book (consisting of coils on opposite sides of atoroidal core) is modified as follows: A slot is cut through the core on the secondary side,and the secondary coil is rewound through the slot. As a result, the secondary coil remainsoriented in the same direction relative to the magnetic flux, but has exactly one-half thecross-sectional area as it did previously (i.e., is now one-half the cross-sectional area of theprimary coil). The overall cross-sectional dimensions of the core remains nearly the same onboth sides, so the flux density in the core is not significantly affected. The number of turnsin the primary and secondary coils are 200 and 300, respectively. What is the potential V₂on the secondary side in terms of the potential V₁ on the primary side?

Answered: The transformer described in the book…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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The core of a transformer operating at 50 Hz has an eddy current loss of 100 W/m3 and the corelaminations have a thickness of 0.50 mm. The core is redesigned so as to operate with the same eddycurrent loss but at a different voltage and at a frequency of 250 Hz. Assuming that at the new voltage themaximum flux density is one-third of its original value and the resistivity of the core remains unaltered,determine the necessary new thickness of the laminations. Clear and detailed solution.
In transformer, the eddy current loss can be minimized by O using thin size copper conductors O using magnetic material with low permeability laminating the core O using magnetic material with high permeability
A ferromagnetic core is shown in Figure PI-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 1000. -10 cm- - 20 cm- 15 cm 400 turns 15 cm 15 cm Core depth 5 cm
A single-phase transformer has 480 turns on the primary and 90 turns on the secondary. The mean length of the flux path in the core is 1.8 m and the joints are equivalent to an airgap of 0.1 mm. The value of the magnetic field strength for 1.1 T in the core is 400 A/m, the corresponding core loss is 1.7 W/kg at 50 Hz and the density of the core is 7800 kg/m3. If the maximum value of the flux density is to be 1.1 T when a p.d. of 2200 V at 50 Hz is applied to the primary, calculate: a. the cross-sectional area of the core; b. the secondary voltage on no load; c. the primary current and power factor on no load
A ferromagnetic core is shown in Figure Pl-2. The depth of the core is 5 cm. The other dimensions of the core are as shown in the figure. Find the value of the current that will produce a flux of 0.005 Wb. With this current, what is the flux density at the top of the core? What is the flux density at the right side of the core? Assume that the relative permeability of the core is 800. 1-5. 10 cm- 5em 20 em 15 cm 15 cm 15 cm Coe depth - Scm SOLUTION There are three regions in this core. The top and bottom form one region, the left side forms a second region, and the right side forms a third region. If we assume that the mean path length of the flux is in the center of each leg of the core, and if we ignore spreading at the corners of the core, then the path lengths are I, = 2(27.5 cm) = 55 cm, I, = 30 cm, and /, = 30 cm. The reluctances of these regions are:
Solv
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A ferromagnetic core in the shape of a doughnut has a cross-sectional area of 0.11 m2 and an average length of 1.4 m. The permeabil ity of the core is 1.206 × 10-3 Wb/A-t. m. Determine the reluctance of the magnetic circuit
Which of the following statements is true about an ideal transformer? O It changes the magnitude of DC signals. O It converts DC signals into AC signals. O It changes the magnitude of AC signals. O It converts AC signals into DC signals.
A 10, 120 V, 60 Hz supply is connected to the coil The coil has 200 turns. The parameters of the core are as follows: Length of core = 100 cm Cross-sectional area of core = 20 cm? Relative permeability of core = 2500 Obtain an expression for the flux density in the core.
A single-phase 500 V/100 V, 50 Hz transformer has a maximum core flux density of 1.5 T and an effective core cross-sectional area of 50 cm2. Determine the number of primary and secondary turns.
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