Question 15.14: Calculate the output phase angle for each circuit in Figure ...

Calculate the output phase angle for each circuit in Figure 15-35.

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For the lead circuit in Figure 15-35(a),

\phi = \tan ^{-1}\left(\frac{X_{C}}{R} \right)= \tan ^{-1}\left(\frac{150 \ \Omega }{220 \ \Omega } \right) = 34.3°

The output leads the input by 34.3°.
For the lead circuit in Figure 15-35(b), first determine the capacitive reactance.

X_{C}= \frac{1}{2\pi fC} = \frac{1}{2\pi (500 \ Hz)(0.22 \ \mu F)}= 1.45 \ k\Omega

 

\phi = \tan ^{-1}\left(\frac{X_{C}}{R} \right)= \tan ^{-1}\left(\frac{1.45 \ k\Omega }{1.0 \ k\Omega } \right) = 55.4°

The output leads the input by 55.4°.

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