DIFFERENTIATION

DIFFERENTIATION

1. i= ????

   • Calculate the current at t= 0.5s
     • The total charge entering a terminal is given by Q= 5t sin 4πt mC.

2. 1. Take out all the information given;

   • i= d/dt (5t sin 4πt) mC/s
     • t= 0.5s
     • v= sin 4πt
       • du/dx= 4π cos 4πt
         • Q= (5t) (4π cos 4πt) + (sin 4πt) (5) mA
           • Q= 20 πt cos 4πt + 5 sin 4πt mA
     • u= 5t
       • v= 5

3. if t= 0.5s ???

   • substitute t with 0.5
     • Q= 20 π (0.5) cos 4(0.5) π + 5 sin 4(0.5) π
     • Q= 10π cos 2π + 5 sin 2π mA
     • Q= 10π mA