5) The symmetric magnetic circuit of Fig. 1.36 has three windings. Windings A and Beach have N turns and are wound on the two bottom legs of the core. The core dimensions are indicated in the Figure 2. Find the self-inductances of each of the windings. Find the mutual inductances between the three pairs of windings. Find the voltage induced in winding 1 by time-varying currents i(t) and i3(t) in windings A and B. Show that this voltage can be used to measure the imbalance between two sinusoidal currents of the same frequency. i) ii) iii) N turns N₁ turns N turns istó Core: Area Ac Permeability Figure 2 Magnetic circuit for Q 5

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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5) The symmetric magnetic circuit of Fig. 1.36 has three windings. Windings A
and Beach have N turns and are wound on the two bottom legs of the core.
The core dimensions are indicated in the Figure 2.
i)
Find the self-inductances of each of the windings.
ii)
Find the mutual inductances between the three pairs of
windings.
Find the voltage induced in winding 1 by time-varying currents
i(t) and i(t) in windings A and B. Show that this voltage can
be used to measure the imbalance between two sinusoidal
currents of the same frequency.
111)
N turns
1½
N₁ turns
+100+
N turns
Core:
Area Ac
Permeability
Figure 2 Magnetic circuit for Q 5
Transcribed Image Text:5) The symmetric magnetic circuit of Fig. 1.36 has three windings. Windings A and Beach have N turns and are wound on the two bottom legs of the core. The core dimensions are indicated in the Figure 2. i) Find the self-inductances of each of the windings. ii) Find the mutual inductances between the three pairs of windings. Find the voltage induced in winding 1 by time-varying currents i(t) and i(t) in windings A and B. Show that this voltage can be used to measure the imbalance between two sinusoidal currents of the same frequency. 111) N turns 1½ N₁ turns +100+ N turns Core: Area Ac Permeability Figure 2 Magnetic circuit for Q 5
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