Given the R & L series circuit in Figure 1, calculate the total equivalent imped

Question

Given the R & L series circuit in Figure 1, calculate the total equivalent impedance, ZT , of the circuit at frequencies, f = 1 kHz, 2kHz and 3 kHz, and list the values obtained in Table 1.

Frequency (kHz)

Reactance, XL

(?)

Inductive Impedance ZL

Total Series Circuit Impedance ZT

Rectangular Form

RL + j XL

Rectangular Form

[R + RL] + jXL

Magnitude

Angle

1

2

3

Frequency (kHz)

Reactance, XL

(?)

Inductive Impedance ZL

Total Series Circuit Impedance ZT

Rectangular Form

RL + j XL

Rectangular Form

[R + RL] + jXL

Magnitude

Angle

1

2

3

Explanation / Answer

Please ask if you have any doubt.I will help you.

XL = 2(f)L

The blanks are seperated by commas .

1 295.3 , RL + j 295.3 , (RL + 470) + j295.3 , ((RL + 470)2 + (295.3)2 )0.5 , tan-1 (295.3 / RL + 470)

2 590.6 , RL + j 590.6 , (RL + 470) + j590.6 , ((RL + 470)2 + (590.6)2 )0.5 , tan-1 (590.6 / RL + 470)

3 886.0 , RL + j 886.0 , (RL + 470) + j886.0 , ((RL + 470)2 + (886.0)2 )0.5 , tan-1 (886.0 / RL + 470)

Note : The value of RL is not mentioned ,please put in the value to get the required answer.

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