Suppose a copper conductor of lengtn um ana cross-sectional area (A)m and resistivity )n- m, its resistance is [R = p(1/A)). This copper conductor wounded around a ferromagnetic core, forming (N) tums. When this coil fed by a DC voltage (Vac), its steady state current will be [lde = (Vac/R)]. But when this coil fed by an rms value of an AC voltage (Vms = Vac), a steady state AC current of an rms value (Iac) will pass through it. Explain the following questions: a) Why (lac

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Suppose a eopper conductor of lengin ym ana cross-sectional area (A)m and resistivity
On m, its resistance is [R = p(/A)). This copper conductor wounded around a ferTomagnetic
core, forming (N) turns. When this coil fed by a DC voltage (V), its steady state current will be
[lde = (Vac/R)]. But when this coil fed by an ms value of an AC voltage (Vms = Vac), a steady
state AC current of an rms value (Ia) will pass through it. Explain the following questions:
a) Why (lac <lac) in this case, in spite of (V,ms = Va)? What happens inside the electric
circuit leads to reduce the curent?
%3D
b) What is the current waveform in this case?
c) What is the voltage waveform across the coil?
d) What is the type of the ammeter used in this circuit?
e) Assume that the core length (1,), cross sectional area (Ac), and its hysteresis loop data are
known, what is its self inductance (L)?
f) Is the self inductance of this coil been constant? Or not? Why?
g) If it is not constant, then what is it function of? And why?
h) Ifit is not constant? How can we achieve a constant inductance coil for a certain purpose?
Transcribed Image Text:Suppose a eopper conductor of lengin ym ana cross-sectional area (A)m and resistivity On m, its resistance is [R = p(/A)). This copper conductor wounded around a ferTomagnetic core, forming (N) turns. When this coil fed by a DC voltage (V), its steady state current will be [lde = (Vac/R)]. But when this coil fed by an ms value of an AC voltage (Vms = Vac), a steady state AC current of an rms value (Ia) will pass through it. Explain the following questions: a) Why (lac <lac) in this case, in spite of (V,ms = Va)? What happens inside the electric circuit leads to reduce the curent? %3D b) What is the current waveform in this case? c) What is the voltage waveform across the coil? d) What is the type of the ammeter used in this circuit? e) Assume that the core length (1,), cross sectional area (Ac), and its hysteresis loop data are known, what is its self inductance (L)? f) Is the self inductance of this coil been constant? Or not? Why? g) If it is not constant, then what is it function of? And why? h) Ifit is not constant? How can we achieve a constant inductance coil for a certain purpose?
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