## Question

###### 1. From Figure 9-2 and the equations above choose which plot best describes the impedance due...

**1. From Figure 9-2 and the equations above choose which plot best describes the impedance due to:**

**a. A Resistor**

**b. A Capacitor**

PART 1: IMPEDANCE OF A CAPACITOR PREPARATION In an AC circuit capacitors and inductors have an effective resistance that restricts the flow of current, this is known as impedance. An equivalent to Ohm's law can be written where resistance R is replaced by the impedance Z: V = 12 (9-4) where V and I are either the root mean squares or the peak values of the AC source. Capacitors and inductors both have impedance that depend on frequency. How the frequency affects the impedance of these components depends on their reactance. Capacitive reactance (Xc) varies with frequency f, according to the following: 1 Xc (9-5) 2nfc Another difference for the capacitor is that peak current and peak voltage do not occur at the same. Because of this, impedance due to different types of components do not directly add to each other. For an RC series circuit, the total impedance is given by: Z = R^ + Xẻ (9-6) Keeping in mind that the current is the same through each component in series, using Eq. (9-4) and Ohm's law give us an expression for the voltage on a resistor: VR = IR = (9-7) R 11 III IV N Z N u N 1 f f Figure 9-2. Possible impedance vs frequency plots. ► 03: From Figure 9-2 and the equations above choose which plot best describes the impedance due to (a) a resistor, (b) a capacitor.

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