Differences
This shows you the differences between two versions of the page.
| Both sides previous revisionPrevious revisionNext revision | Previous revision | ||
| learn:courses:real-analog-chapter-2:start [2017/04/19 22:28] – [Non-ideal Voltage Sources] Martha | learn:courses:real-analog-chapter-2:start [2022/10/04 11:38] (current) – external edit 127.0.0.1 | ||
|---|---|---|---|
| Line 1: | Line 1: | ||
| ====== Real Analog: Chapter 2 ====== | ====== Real Analog: Chapter 2 ====== | ||
| - | + | [[{}/ | |
| - | --> Chapter 2 Downloads# | + | --> Chapter 2 Materials# |
| - | * {{ : | + | |
| - | * {{ : | + | |
| - | * {{ : | + | * {{ : |
| - | * {{ : | + | * [[http:// |
| - | * {{ : | + | * [[http:// |
| - | * {{ : | + | * Chapter 2 Videos: |
| - | * {{ : | + | * [[http:// |
| - | * {{ : | + | * [[http:// |
| - | * {{ : | + | * [[http:// |
| - | * {{ : | + | * {{ : |
| - | * {{ : | + | * {{ : |
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| + | * {{ : | ||
| * {{ : | * {{ : | ||
| * {{ : | * {{ : | ||
| Line 20: | Line 28: | ||
| ====== 2. Introduction and Chapter Objectives ====== | ====== 2. Introduction and Chapter Objectives ====== | ||
| - | In [[https:// | + | In [[/ |
| In the next few chapters, we will still apply Kirchhoff' | In the next few chapters, we will still apply Kirchhoff' | ||
| Line 442: | Line 450: | ||
| ==== Exercises ==== | ==== Exercises ==== | ||
| - | 1. A voltage source with an internal resistance of 2Ω as shown below is used ot apply power to a 3Ω resisotr. What voltage would you measure across the 3Ω resistor? | + | 1. A voltage source with an internal resistance of 2Ω as shown below is used to apply power to a 3Ω resistor. What voltage would you measure across the 3Ω resistor? |
| {{ : | {{ : | ||
| Line 460: | Line 468: | ||
| We will model both voltmeters and ammeters as having some internal resistance and a method for displaying the measured voltage difference or current. Fig. 2.7 shows schematic representations of voltmeters and ammeters. | We will model both voltmeters and ammeters as having some internal resistance and a method for displaying the measured voltage difference or current. Fig. 2.7 shows schematic representations of voltmeters and ammeters. | ||
| - | The ammeter in Fig. 2.7(a) has an internal resistance $R_M$; the current through the ammeter is $i_A$ and the voltage difference across the ammeter is $V_M$. The ammeter' | + | The ammeter in Fig. 2.7(a) has an internal resistance $R_M$; the current through the ammeter is $i_A$ and the voltage difference across the ammeter is $V_M$. The ammeter' |
| The voltmeter in Fig. 2.7(b) is also represented as having an internal resistance $R_M$; the current through the meter is $i_v$ and the voltage difference across the meter is $V_v$. The current through the voltmeter should be as small as possible - the voltmeter should have an extremely high internal resistance. | The voltmeter in Fig. 2.7(b) is also represented as having an internal resistance $R_M$; the current through the meter is $i_v$ and the voltage difference across the meter is $V_v$. The current through the voltmeter should be as small as possible - the voltmeter should have an extremely high internal resistance. | ||
| Line 471: | Line 479: | ||
| In Fig. 2.8(b) the voltmeter resistance is in parallel to the circuit element we wish to measure the voltage across and the combination of the circuit element and the voltmeter becomes a current divider. The current through the resistor R then becomes: | In Fig. 2.8(b) the voltmeter resistance is in parallel to the circuit element we wish to measure the voltage across and the combination of the circuit element and the voltmeter becomes a current divider. The current through the resistor R then becomes: | ||
| - | $$i=i_s \frac{R_M}{R+R_M} | + | $$i=i_s \frac{R_M}{R+R_M} |
| The voltage across the resistor R is then, by Ohm's law: | The voltage across the resistor R is then, by Ohm's law: | ||
| - | $$V=i_s \frac{R \cdot R_M}{R+R_M} | + | $$V=i_s \frac{R \cdot R_M}{R+R_M} |
| If $R_M >>R$, this expression simplifies to: | If $R_M >>R$, this expression simplifies to: | ||
| - | $$V \approx i_s \frac{R \cdot R_M}{R_M} = R \cdot i_s (Eq. 2.28)$$ | + | $$V \approx i_s \frac{R \cdot R_M}{R_M} = R \cdot i_s |
| - | And negligible error is introduces | + | And negligible error is introduced |
| {{ : | {{ : | ||
| Line 534: | Line 542: | ||
| ---- | ---- | ||
| + | |||
| + | [[{}/ | ||
| + | [[{}/ | ||