The currect voltage relation of diode is given by `I=(e^(1000 V//T)-1) mA`, where the applied voltage V is in volt 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 error in the value of current in mA?

Options

A. 0.5 mA
B. 0.05 mA
C. 0.2 mA
D. 0.02 mA

Answer

C

Explanation

Given current `I=(e^(1000V//T)-1)mA`
`rArr I+1=e^(1000V//T)`
`dI=(1000)/(T)[e^((1000V)/(T))]dV`
`dI=(1000)/(T)[I+1]dV=(1000)/(300)[6]xx(0.01)`
`dI=0.2mA`