Help / Advice needed on Intergration

[Mathmasteriw]

Hi Everyone ,
Stuck on this ,
Dont know how to get to the next step,..
Any help greatly appreciated as always ?

 

[skeeter]

$$q= \dfrac{E}{R} \int_0^1 e^{-kt} \, dt$$ where $$k = \dfrac{1}{RC}$$
$$q = \dfrac{E}{R} \bigg[-\dfrac{e^{-kt}}{k} \bigg]_0^1 = EC \bigg[1 - e^{-\frac{1}{RC}} \bigg]$$
[MATH]q = 10^{-5} \bigg[1 - \dfrac{1}{e} \bigg] [/MATH] Coulombs

 

[Mathmasteriw]

$$q= \dfrac{E}{R} \int_0^1 e^{-kt} \, dt$$ where $$k = \dfrac{1}{RC}$$
$$q = \dfrac{E}{R} \bigg[-\dfrac{e^{-kt}}{k} \bigg]_0^1 = EC \bigg[1 - e^{-\frac{1}{RC}} \bigg]$$
[MATH]q = 10^{-5} \bigg[1 - \dfrac{1}{e} \bigg] [/MATH] Coulombs

Hi Skeeter,
Thank you so much for your reply & help!
Where dose that fit into my work? Dose that continue from my last line?
thank again Skeeter !

 

[Deleted member 4993]

Hi Skeeter,
Thank you so much for your reply & help!
Where dose that fit into my work? Dose that continue from my last line?
thank again Skeeter !

You made a mistake in the line before last line of your work (while evaluating integrand at the limits). Otherwise you & skeeter agree.

 

[Mathmasteriw]

I see you use then 'k' in the equation.
What is the 'k'?
sorry if its a stupid question but I'm just a little confused.
thank you

 

[skeeter]

I see you use then 'k' in the equation.
What is the 'k'?
sorry if its a stupid question but I'm just a little confused.
thank you

read post #2 again ... I defined k

 

[Mathmasteriw]

Ok ,
How dose this look? ?
Thanks for your help everyone

 

[Deleted member 4993]

Ok ,
How dose this look? ?
Thanks for your help everyone
View attachment 24417

q = 6.32 µcoulomb