A transformer has 400 primary turns and 10 secondary turns. If Vp is 114 V (rms)

Question

A transformer has 400 primary turns and 10 secondary turns. If Vp is 114 V (rms), what is Vs, assuming an open circuit? If the secondary is now connected to a resistive load of 23 Ohm, what is the current in the primary? What then is the current in the secondary? A A 48.0 mH inductor has a reactance of 1.90 kOhm. What is its operating frequency? Hz What is the capacitance of a capacitor with the same reactance at that frequency? F If the frequency is doubled, what is the new reactance of the inductor? Ohm What is the new reactance of the capacitor? Ohm

Explanation / Answer

Q 1)            N1 = 400            N2 = 10           Resistiveload in secondary , R = 23          Current in secondary, I2 =Vs / R = 2.85 / 23 = 0.1239 A           N2 / N1 = I1 / I2           10 / 400 = I1 / 0.1239           Current in primary, I1 =0.1239 / 40 = 0.0031 A Q2)   Xc = 1 / ( 2fC)            Xc 1 / f           When frequecy is doubled , then the reactace becomes half           New reactance = 1.9 /2 =0.95 k = 950                       

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