5 H L1 80 mH m L2 L310 mH

Introductory Circuit Analysis (13th Edition)
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The total inductance in this circuit is _______.
 
     
 
     
 
 
5.09 mH
 
95 mH
 
5.09 H
 
95 H
### Inductor Circuit Diagram Explanation

This image illustrates a simple inductor circuit containing three inductors, connected in series, along with an alternating current source. Below is a detailed explanation of each component:

- **L1 (5 H):** The first inductor in the circuit, labeled L1, has an inductance of 5 henries (H).

- **L2 (80 mH):** The second inductor is labeled L2, with an inductance of 80 millihenries (mH).

- **L3 (10 mH):** The third inductor, labeled L3, has an inductance of 10 millihenries (mH).

- **AC Source:** The circuit is powered by an alternating current (AC) source, indicated by the wave symbol. The specific voltage or frequency of the AC source is not provided.

**Understanding Inductance:**
Inductors store energy in a magnetic field when electrical current passes through them. The inductance, measured in henries, indicates the amount of energy stored per unit current. 

**Calculation of Total Inductance:**
For inductors in series, the total inductance (L_total) is the sum of individual inductances:
\[ L_{\text{total}} = L_1 + L_2 + L_3 \]

Substituting the given values:
\[ L_{\text{total}} = 5 \, \text{H} + 0.08 \, \text{H} + 0.01 \, \text{H} = 5.09 \, \text{H} \]

This circuit is useful in applications requiring specific impedance characteristics, such as in filters or tuning circuits.
Transcribed Image Text:### Inductor Circuit Diagram Explanation This image illustrates a simple inductor circuit containing three inductors, connected in series, along with an alternating current source. Below is a detailed explanation of each component: - **L1 (5 H):** The first inductor in the circuit, labeled L1, has an inductance of 5 henries (H). - **L2 (80 mH):** The second inductor is labeled L2, with an inductance of 80 millihenries (mH). - **L3 (10 mH):** The third inductor, labeled L3, has an inductance of 10 millihenries (mH). - **AC Source:** The circuit is powered by an alternating current (AC) source, indicated by the wave symbol. The specific voltage or frequency of the AC source is not provided. **Understanding Inductance:** Inductors store energy in a magnetic field when electrical current passes through them. The inductance, measured in henries, indicates the amount of energy stored per unit current. **Calculation of Total Inductance:** For inductors in series, the total inductance (L_total) is the sum of individual inductances: \[ L_{\text{total}} = L_1 + L_2 + L_3 \] Substituting the given values: \[ L_{\text{total}} = 5 \, \text{H} + 0.08 \, \text{H} + 0.01 \, \text{H} = 5.09 \, \text{H} \] This circuit is useful in applications requiring specific impedance characteristics, such as in filters or tuning circuits.
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