(Solved): (a) The ideal diode equation is given by \[ I=I_{0}\left(e^{\frac{q V}{k T}}- ...

???????

(a) The ideal diode equation is given by \[ I=I_{0}\left(e^{\frac{q V}{k T}}-1\right) \] where \( I \) and \( I_{0} \) represent currents, \( V \) is voltage, \( T \) is temperature, \( q \) is charge and \( k \) is a constant. Find an expression to calculate voltage \( V \) in terms of the other variables. \( [3] \) (b) In Astronomy, the following equation can be used to determine the distance to a star, \( d \) (in units of parsec \( \left.^{1}\right) \) : \[ m-M=5 \log \left(\frac{d}{10}\right) \] where \( m \) is the apparent magnitude of the star, and \( M \) is its absolute magnitude. Betelgeuse is a bright star with an apparent magnitude of \( 0.45 \) and an absolute magnitude of \( -5.14 \). What is its distance from the Earth in units of parsec?