Question
A p-n junction germanium diode when forward biased has a drop of 0.3V which is assumed to be independent of current. The current in excess of 10mA through the diode produces a large Joule-heating which damages (burns) the diode. If we want to use a 1.5V battery to forward-bias the diode, what should be the value of resistor used in series with the diode, so that the maximum current does not exceed 6mA?

Answer

The basic equation of diode-circuit is:
$\text{RI}+\text{V}_0=\text{V}_\text{B}$
$\Rightarrow\text{R}=\frac{\text{V}_\text{E}-\text{V}_0}{\text{I}}$
Here, $\text{V}-\text{B}=1.5\text{V},\text{V}_0$
$=0.3\text{V},\text{I}=5\text{mA}=6\times10^{-3}\text{A}$
$\therefore\text{R}=\frac{1.5-0.3}{6\times10^{-3}}$
$=\frac{1.2\times10^{3}}{6}$
$=0.2\times10^3\Omega$
$=200\Omega$

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