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Take a look at the picture on the right. We see three series connected resistors. We've already learned that the total resistance is 3k. So the current I will be 9V / 3k = 3mA. The voltage at point B, VB, equals 1k∙3mA = 3V. (Do you still remember what is meant by 'voltage at point B'? It means: connect the red wire of the volt meter to point B and the black wire to ground.) The general way of calculating the voltage across a resistor in a series connection is: I = Vsource / Rtotal, and Vres = I∙R. So:
There are three ways to calculate the voltage at point A:
Does this mean that you can connect your 3V portable cassette player to point B? Well, of course you could, but don't expect it to work! The player acts like a resistor of, say, 50 ohms. That resistor is parallel connected with R3, resulting in a resistance of 47.6 ohms. So VB will drop to 9V∙(47.6/2047.6) = 0.2V. And that will never be enough for your player. Conclusion: If you design a voltage divider, don't forget to take the load into account! |
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