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The current voltage relation of diode is given by I = (e^(1000V/T) − 1) mA, where the applied voltage V is in volts and the temperature T is in degree Kelvin. If a student makes an error measuring ± 0.01 V while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA?
- 0.02 mA
- 0.5 mA
- 0.05 mA
- 0.2 mA
Correct answer: 0.2 mA
Solution
The error in current can be calculated using the derivative of the current with respect to voltage, which indicates how sensitive the current is to changes in voltage. At the given conditions, a small change of ±0.01 V in voltage results in a change of approximately ±0.2 mA in current, making option D the correct choice.
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