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+//Introduction to Fiber Optics by A. Ghatak and K. Thyagarajan, Cambridge, New Delhi, 1999

+//Example 13.2

+//OS=Windows XP sp3

+//Scilab version 5.5.2

+clc;

+clear;

+//given

+//Vc(t)=V0*(1-exp(-t/(R*C))) is the voltage across capacitance in an RC circuit

+//Hence, the time t=R*C*(-log(1-Vc/V0))

+

+//The Rise time is the time taken by a system to rise from 10% to 90% of maximum value

+//So, it is given as Tr=T90-T10 where T90 is time when Vc is 90% of maximum value and T10 is time when Vc is 10% of maximum value

+//i.e. Tr=R*C*(-log(1-0.9))-R*C*(-log(1-0.1))

+//Let Tr=R*C*k; where k=log(1-0.1))-log(1-0.9)

+k=log(1-0.1)-log(1-0.9);

+mprintf("\n The Rise Time Tr=%.2fRC",k);

+

+//Now, The 3dB bandwidth is given as Deltaf=1/(2*%pi*R*C);

+//Let Deltaf=m/(R*C); where m=1/(2*%pi)

+m=1/(2*%pi);

+mprintf("\n The 3dB bandwidth Deltaf=%.2f/RC",m);

+

+//By multiplying expressions of Tr and Deltaf, we eliminate RC from the expressions

+//Rearranging te terms, we get Tr in terms of Deltaf 

+mprintf("\n Rise time in terms of Bandwidth is given as:");

+mprintf("\n Tr=%.2f/Deltaf",k*m);