SATHEE: Physics And Measurement Question 303

Physics And Measurement Question 303

Question: The current voltage relation of a diode is given by $I = (e^{1000 V / T} - 1) m A$ , where the applied voltage V is in volts and the temperature T is in degree kelvin. If a student makes an error measuring $\pm 0.01 V$ while measuring the current of 5 mA at 300 K, what will be the error in the value of current in mA?

Options:

A) 0.2Ma

B) 0.02mA

C) 0.5mA

D) 0.05mA

Show Answer

Answer:

Correct Answer: A

Solution:

[a] The current voltage relation of diode is $I = (e^{1000 V / T} - 1) m A (g i v e n)$

When, $I = 5 m A, e^{1000 V / T} = 6 m A$

Also, $d I = (e^{1000 V / T}) \times \frac{1000}{T}$

(By exponential function) $= (6 m A) \times \frac{1000}{300} \times (0.01) = 0.2 m A$

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Physics And Measurement Question 303

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