answer and explanation For the following circuit Et is 120Vrms at 60 HZ. R is 30
ID: 1814375 • Letter: A
Question
answer and explanation
For the following circuit Et is 120Vrms at 60 HZ. R is 300 Ohm and L is 1.59H Show your calculations for full credit and circle your final answer. Calculate the inductive reactance.xl= 2Pie(60H)(1.59H)=599 Ohm Calculate the current through R. IR=120V/300=400mA Calculate the total current.(Hint :PYthagorean Theorem)IT = I2R + I2L = IT = 400mA2+200mA2 = 447mA Calculate the total impedance. Z=1/ 1/R2 +1/X2L =1/1/3002+1/5992 =268 Ohm. What is the phase relationship between the total voltage and total current waveforms? (Hint Inverse Tangent) Calculate the True Power, Reactive Power, Apparent Power, and Power Factor Beta=IR*R = 400mA*300 Ohm =120w VA =IL*EL = 200mA*599 Ohm =120VAR VA =- P2+VARs2 =-1202=170wA lPf=Z/p =268 Ohm/300 Ohm =89.3%Explanation / Answer
Angle = tan^-1 (R/Z)
you got angle
R=300
Z=268
put the value of R, Z
so you got
Angle = tan^-1 (1.11)= 47.92 degree
the phase relationship b/w voltage and current is; 47.92 degree
always phase difference take with respect to voltage;
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