Designing an RC Circuit for RL Equivalent Voltage vs. Time

[dancergirlie]

Homework Statement

Design an RC circuit that has the same Voltage vs. Time characteristics as the RL circuit shown

*See attached Diagram*

Homework Equations

The Attempt at a Solution

Not really sure how to approach this, but all i know is the equations:

RC circuit:

Vc(t)=Vb(1-e^-(t/RC))

RL circuit:
i(t)=(Vb/R)(1-e^-(tR/L))

I really don't know how I'm supposed to use the equation for RL... am I using ohm's law? I am really confused so any help would be great!

 

[tiny-tim]

hi dancergirlie!

*See attached Diagram*

where?

RC circuit:

Vc(t)=Vb(1-e^-(t/RC))

RL circuit:
i(t)=(Vb/R)(1-e^-(tR/L))

now write an equation for V(t) for RL, and get that to look like the V for RC