Numerical problem about circuits

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The discussion revolves around calculating the internal current (i_s) and resistance (R_s) of a practical current source based on ammeter readings. The initial measurement with an ammeter shows a current of 11.988 mA, which drops to 11.889 mA after adding a 1.2 kΩ resistor. Calculations yield i_s as 11.997 mA and R_s as 13,200 ohms, which differ from the textbook answers of 12 mA and 10 kΩ. The discrepancy is attributed to rounding differences in the textbook. The calculations confirm the user's results, suggesting that the textbook may have simplified the values.
Salman
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PROBLEM:the current at the terminals of a certain current source is measured with an ammeter having an internal resistance R_i=10 ohms and is found to be 11.988 mA ;adding a 1.2 kilo -ohms resistance between the source terminals causes the ammeter reading to drop to 11.889 mA.Find i_s and R_s

NOTE:i_s and R_s constitute a practical current source.i.e R_s is the internalresistance of the source i_s

note:my answers don't quite match with the answer at the back of the textbook...
my calulations: i_s=11.997 mA and R_s=13200ohms
answers in the answer booklet:i_s=12mA and R_s=10kilohms:rolleyes:
 
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I get the two voltages at the top of the ammeter as .11988V and then .11889V. The two currents are then 11.988mA and 11.889mA+.11889V/1.2kOhms.

The change in voltage was .00099V
The change in current was .000075mA = .000000075A

So Rs = .00099V/.000000075A = 13,200 ohms just like you got. Maybe they're rounding to a single significant figure.

Then Is = 11.988 mA + .11988V / 13.2 Kohms = 11.99708 mA

Maybe your answers are right, except for the rounding.

Carl
 
ok thank u sir!:smile:
 
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