What is the Electrical Charge on a Capacitor After 2 Microseconds?

[patep023]

Homework Statement

A dc current of 3 A flows through an initially discharged capacitor.
After 2 micro s what is the electrical charge on the capacitor?

Homework Equations

q(t)= integral i(t) dt between t=0 and t

The Attempt at a Solution

(3t^2)/2=6x10^-12 C. Is this right?

 

[gneill]

Homework Statement

A dc current of 3 A flows through an initially discharged capacitor.
After 2 micro s what is the electrical charge on the capacitor?

Homework Equations

q(t)= integral i(t) dt between t=0 and t

The Attempt at a Solution

(3t^2)/2=6x10^-12 C. Is this right?

Your relevant equation is okay, but it looks like you set up the integral incorrectly. What function did you integrate?

 

[patep023]

f(q)=i ?so integral of 3A which is (3t^2)/2 ?

 

[gneill]

f(q)=i ?so integral of 3A which is (3t^2)/2 ?

Nope. Your function is a constant. Dropping units for now, I(t) = 3. There's no "t" in the function to become a $t^2$ upon integrating.

 

[patep023]

ye I was just being stupid, ty for the help