What is the difference between ac and a dc voltage? The inductive reactance of a

Question

What is the difference between ac and a dc voltage? The inductive reactance of an inductor (increases/decreases/remains the same) when the frequency is increased. The capacitive reactance of an capacitor (increases/decreases/remains the same) when the frequency is increased. The resistance of a resistor (increases/decreases/remains the same) when the frequency is increased. Given z_L = 500 ohm and R_L = 40 ohm, determine x_L. What is the condition a which a LCR series circuit will be in resonance? What is the phase angle between the current and voltage when a R, L, C circuit is at resonance? Show your work

Explanation / Answer

1)

In AC voltage , the voltage fluctuates with time sinusoidally with polarity too changing with time but in DC, the value of voltage remains almost constant throughout and the polarity remains constant.

2)

Inductive reactance, XL = 2*pi*f*L

So, as frequency (f) increases, inductive reactance increases.

3)

Capacitive reactance, Xc = 1/(2*pi*f*C)

So, as frequency (f) increases, capacitive reactance decreases.

4)

Resistance does not depend on the frequency, so it doesnt change and remains the same

5)

ZL = sqrt(R^2 + XL^2)

So, 500 = sqrt(40^2 + XL^2)

So, XL = 498.4 ohm <------answer

6)

Condition for resonance is when inductive reactance(XL) is equal to capacitive reactance (Xc)

7)

At resonance, phase angle between the current and voltage is 0

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