Electro Magnetic Induction And Alternating Currents Question 148

Question: For a series RLC circuit R = XL = 2XC. The impedance of the circuit and phase difference (between) V and i will be

Options:

A) 5R2,,tan1(2)

B) 5R2,tan1(12)

C) 5XC,tan1(2)

D) 5R,,tan1(12)

Show Answer

Answer:

Correct Answer: B

Solution:

XL=R,  XC=R/2
tanφ=XLXCR=RR2R=12
φ=tan1(1/2)

Also Z=R2+(XLXC)2=R2+R24=52R



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