1 A serles RLC rees a resistance of R 0 C1,acapactive reactance of x42 52 and an
ID: 1770171 • Letter: 1
Question
1 A serles RLC rees a resistance of R 0 C1,acapactive reactance of x42 52 and an inductive al Find the inpedance of his cicuit. 13 paint te Calculate the cament amein.tr in thi creut. Il pott writentequation that shows how 1tevotage across the i ductor dasgeswith time (1 porn et Find the,mplitude of the vatagu "craathe coaotor.(1 poit! I Wite the equation that stons how the voltage across the capachor choanges with sime (l pait) l Draw a phasor dagram for thls cireut, latef esce phosar and stou the nlemis (S poit) hl is the wobage proxided for the entire crcust ateod or banh ind the current theough the clrout? 13 point)Explanation / Answer
a)
Impedance
Z=sqrt[R2+(XL-XC)2]=sqrt[502+(20-42)2]
Z=54.626 ohms
b)
Current amplitude
Ip=Vp/Z=60/54.626=1.1 A
c)
Voltage across inductor
VL=IXL=1.1*20=21.97 Volts
d)
VL(t)=(21.97 V)Cos(20pit-0.2pi)
e)
VC=IXL=1.1*42=46.13 Volts
f)
Vc(t)=(46.13V)Cos(20pit-0.2pi)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.