5- Derive the induced emf expression given in (Eq.1) for sinusoidal flux density variation in a magnetic circuit. E- 4.44 Nf A Bmax (Eq.1) Define all variables and constants in (Eq.1) If N-112 Turns, f-50 Hz and flux is sinusoidal varying and has maximum value of; Pmax -9.25x10*Wb, for the single-phase transformer given in Fig. 5., compute the following, a. Induced primary voltage in ms volts b. Number of turns of the secondary, N2 to have half of the induced primary voltage on the secondary side. c. Magnetizing branch reactance in ohm (or magnetizing branch susceptance mho), and Bmax in Wb/m by assuming that magnetizing current component has rms. value of 2.0 Amperes. If now the core volume of the above transformer is to be reduced to one eight of the original size while keeping E and N invariant, which variable can be changed to keep the flux density in the core at the value found in part (c)? Explain clearly and quantify the variable you have changed. B (T) 2.0 N,-turns N-turns 3.0 primary secondary Magnetizing current, i Figure 5 Figure 6

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5- Derive the induced emf expression given in (Eq.1) for sinusoidal flux density variation in a
magnetic circuit.
E = 4.44 Nf A Bmax
- (Eq.1)
Define all variables and constants in (Eq.1)
If N=112 Turns, f-50 Hz and flux is sinusoidal varying and has maximum value of;
Pmax -9.25x10*Wb, for the single-phase transformer given in Fig. 5., compute the following,
a. Induced primary voltage in rms volts
b. Number of turns of the secondary, N2 to have half of the induced primary voltage on
the secondary side.
c. Magnetizing branch reactance in ohm (or magnetizing branch susceptance mho), and
Bmax in Wb/m by assuming that magnetizing current component has rms. value of 2.0
Amperes.
If now the core volume of the above transformer is to be reduced to one eight of the original
size while keeping E and N invariant, which variable can be changed to keep the flux density
in the core at the value found in part (c)? Explain clearly and quantify the variable you have
changed.
B (T)
2.0
N,-turns
N-turns
3.0
primary
secondary
Magnetizing
current, i
Figure 5
Figure 6
Transcribed Image Text:5- Derive the induced emf expression given in (Eq.1) for sinusoidal flux density variation in a magnetic circuit. E = 4.44 Nf A Bmax - (Eq.1) Define all variables and constants in (Eq.1) If N=112 Turns, f-50 Hz and flux is sinusoidal varying and has maximum value of; Pmax -9.25x10*Wb, for the single-phase transformer given in Fig. 5., compute the following, a. Induced primary voltage in rms volts b. Number of turns of the secondary, N2 to have half of the induced primary voltage on the secondary side. c. Magnetizing branch reactance in ohm (or magnetizing branch susceptance mho), and Bmax in Wb/m by assuming that magnetizing current component has rms. value of 2.0 Amperes. If now the core volume of the above transformer is to be reduced to one eight of the original size while keeping E and N invariant, which variable can be changed to keep the flux density in the core at the value found in part (c)? Explain clearly and quantify the variable you have changed. B (T) 2.0 N,-turns N-turns 3.0 primary secondary Magnetizing current, i Figure 5 Figure 6
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