Page 87 - LAPLACE TRANSFORM

VR (t) = ( ) x R

= (0.471 ) (100)

= 47.10 Volts

When t = 0.3 seconds;

t
1
VC (t) = ∫ ( )dt
C 0

t

−
= 1 ∫ ( ) dt
50m 0 1 1
1

∫ dx = 1 + C

−

1

= { } { − } 1 −1
50m − 1
dx = −1 + C
∫

−
−
= 20 { }

− − ( . )
= 20 { }

= (20) (−2.5) (0.942)
= −47.09 Volts

74