gar
Senior Member
- Location
- Ann Arbor, Michigan
- Occupation
- EE
091228-1602 EST
Bobhook149:
Any power source has an internal impedance. Suppose we have an idea voltage source of 10 V (this means the voltage is invariant with load current) and to this we add an internal series impedance of 1 ohm before the terminals of this power source.
Put a short circuit load on this source and the load current is 10 A and zero voltage across the load (the short) and the source terminals. Next remove the short and put a 9 ohm resistor across the terminals as a load. Now the current is 1 A in the load and the voltage across the load is 9 V.
Next consider the characteristics of a tungsten filament incandescent lamp. Lamp intensity is a function of applied voltage. To see a plot of intensity vs voltage visit my website http://beta-a2.com/EE-photos.html and scroll down to photo P9. Note: the intensity drop from 100% at 120 V is to about 15% at 60 V.
Resistance of this type of lamp varies as you change voltage, but for the following illustration assume the resistance is constant. In the above circuit with the 10 V source with a 1 ohm internal impedance place a lamp of 9 ohms at 9 V as the load. Classify this as 100 % intensity. In parallel with the lamp place another load of resistance of 7.199999 ohms. The equivalent resistance of 9 ohms in parallel with 7.19999 is 4 ohms. The load voltage is now 10*4/5 = 8 V. This change produces about 25% change in light intensity.
You can run an experiment with a 15 W bulb and a 1500 W heater. The 15 W is so it is not too bright to look at. Pick any outlet some distance from the main panel. Plug the light in and turn it on. Set your heater in its high power position. Plug the heater in and the bulb will dim. Unplug the heater and the light brightens.
Next, find an outlet on the opposite phase. Doesn't matter where this outlet is relative to the main panel, or for that matter where the lamp is from the panel for this experiment. When you plug the heater in the lamp should slightly brighten. Can you see the change? I can not at my house because my source impedance is quite low.
If I plug the heater in at the main panel, about 12 A, on the same phase as the lamp I see about 0.3 V drop at the bulb. On the opposite phase I get 0 V change. This means most of the drop is a result of transformer internal impedance, very little from the neutral between the pole and main panel.
With the test lamp plugged into my work bench, and the heater plugged into the same outlet the change in voltage is 123.1 to 119.4 or 3.7 V. The light change is noticeable. Roughly the source impedance is 3.7/12 = 0.31 ohms.
.
Bobhook149:
Any power source has an internal impedance. Suppose we have an idea voltage source of 10 V (this means the voltage is invariant with load current) and to this we add an internal series impedance of 1 ohm before the terminals of this power source.
Put a short circuit load on this source and the load current is 10 A and zero voltage across the load (the short) and the source terminals. Next remove the short and put a 9 ohm resistor across the terminals as a load. Now the current is 1 A in the load and the voltage across the load is 9 V.
Next consider the characteristics of a tungsten filament incandescent lamp. Lamp intensity is a function of applied voltage. To see a plot of intensity vs voltage visit my website http://beta-a2.com/EE-photos.html and scroll down to photo P9. Note: the intensity drop from 100% at 120 V is to about 15% at 60 V.
Resistance of this type of lamp varies as you change voltage, but for the following illustration assume the resistance is constant. In the above circuit with the 10 V source with a 1 ohm internal impedance place a lamp of 9 ohms at 9 V as the load. Classify this as 100 % intensity. In parallel with the lamp place another load of resistance of 7.199999 ohms. The equivalent resistance of 9 ohms in parallel with 7.19999 is 4 ohms. The load voltage is now 10*4/5 = 8 V. This change produces about 25% change in light intensity.
You can run an experiment with a 15 W bulb and a 1500 W heater. The 15 W is so it is not too bright to look at. Pick any outlet some distance from the main panel. Plug the light in and turn it on. Set your heater in its high power position. Plug the heater in and the bulb will dim. Unplug the heater and the light brightens.
Next, find an outlet on the opposite phase. Doesn't matter where this outlet is relative to the main panel, or for that matter where the lamp is from the panel for this experiment. When you plug the heater in the lamp should slightly brighten. Can you see the change? I can not at my house because my source impedance is quite low.
If I plug the heater in at the main panel, about 12 A, on the same phase as the lamp I see about 0.3 V drop at the bulb. On the opposite phase I get 0 V change. This means most of the drop is a result of transformer internal impedance, very little from the neutral between the pole and main panel.
With the test lamp plugged into my work bench, and the heater plugged into the same outlet the change in voltage is 123.1 to 119.4 or 3.7 V. The light change is noticeable. Roughly the source impedance is 3.7/12 = 0.31 ohms.
.