Using the I vs V data shown in the table for a BJT$,$plot the Gummel curves and find the ideality factor, and finally, plot the gain versus IC$.$

Explain physically what happens in each of the graphs $($Gummel curves, gain as a function of IC$)$ and explain how you obtain the ideality factor.

Voltage, IB$,$ IC

$0\mathrm{.}22,54$E$-143,29$E$-13$

$0\mathrm{.}251,64$E$-144,91$E$-13$

$0\mathrm{.}31,11$E$-134,04$E$-12$

$0\mathrm{.}357,53$E$-132,81$E$-11$

$0\mathrm{.}45,11$E$-121,99$E$-10$

$0\mathrm{.}453,47$E$-111,35$E$-09$

$0\mathrm{.}52,35$E$-109,12$E$-09$

$0\mathrm{.}551,60$E$-096,17$E$-08$

$0\mathrm{.}61,08$E$-084,17$E$-07$

$0\mathrm{.}657,29$E$-082,82$E$-06$

$0\mathrm{.}74,90$E$-071,89$E$-05$

$0\mathrm{.}753,27$E$-061,25$E$-04$

$0\mathrm{.}82,08$E$-057,60$E$-04$

$0\mathrm{.}851,11$E$-040,00339$

$0\mathrm{.}93,85$E$-040,00767$