2. The iron core in Figure 1 has a mean length le = 100 cm, uniform cross-sectional area A = 4 cm² and relative permeability = 1500. The two coils on the core, coil 1 and coil 2, have number of turns N₁ = 100 and N₂ = 50, respectively. The currents flowing in the respective coils are 1₁ = 2 A and 1₂ 1.5A and their directions are indicated. (i) Find the resultant flux produced in the core. (ii) If the direction of 1₂ is reversed but the magnitude is unchanged, find the resultant flux produced in the core. [Ans: (i) 2.073x10-4 Wb, (ii) 9.425x10-5 Wb] le 1₁ N₁ Figure 1 N₂

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter3: Power Transformers
Section: Chapter Questions
Problem 3.9MCQ: Match the following: (i) Hysteresis loss (a) Can be redud by constructing the core with laminated...
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2.
The iron core in Figure 1 has a mean length le = 100 cm, uniform cross-sectional area
A = 4 cm² and relative permeability = 1500. The two coils on the core, coil 1
and coil 2, have number of turns N₁ = 100 and N₂ = 50, respectively. The currents
flowing in the respective coils are 1₁ = 2 A and 1₂ 1.5A and their directions are
indicated. (i) Find the resultant flux produced in the core. (ii) If the direction of 1₂ is
reversed but the magnitude is unchanged, find the resultant flux produced in the core.
[Ans: (i) 2.073x10 Wb, (ii) 9.425x10-5 Wb]
le
1₁
N₁
Figure 1
N₂
Transcribed Image Text:2. The iron core in Figure 1 has a mean length le = 100 cm, uniform cross-sectional area A = 4 cm² and relative permeability = 1500. The two coils on the core, coil 1 and coil 2, have number of turns N₁ = 100 and N₂ = 50, respectively. The currents flowing in the respective coils are 1₁ = 2 A and 1₂ 1.5A and their directions are indicated. (i) Find the resultant flux produced in the core. (ii) If the direction of 1₂ is reversed but the magnitude is unchanged, find the resultant flux produced in the core. [Ans: (i) 2.073x10 Wb, (ii) 9.425x10-5 Wb] le 1₁ N₁ Figure 1 N₂
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