Question

Need answer to this question on Capacitor so that i can compare my solutions to yours.

Voltage across a capacitor of 2 F is given by V(t) = 5+ SinSquare2t.
a. Find an expression for i(t).
b. Find the power delivered to the capacitor at 10s.
c. Find the maximum energy stored in the capacitor
@Physics

Answer 1

Is it \((v(t)=5+\sin(\sqrt{2}t)\)? Is t under the square root or not?

Answer 2

I believe it is 5*sin instead of (5+sin) am i right?

Let's say:
V(t) = 5* Sin(Square(2)t)
= 5* Sin(Square(2)t + 0)
= 5 < 0 , in phasor form

So the current [ i(t) ] must be lagged 90 degrees or pi/2 rad from the voltage.
Unless you have a trifasic system.. then you have to add 120 degrees
Therefore:

a)
i(t) = 5 < 0 + 90 ,for example.
i(t) = 5<90

b)
V(10) = 5* Sin(Square(2)*10) = 1.22 V

c)
how can i know if i dont have the capacitor properties?