Answer :
Answer:
I = 26.36 cosω t A
Explanation:
Given that
C=0.74 mF
Vrms= 82 V
Frequency ,f= 49 Hz
We know that ω = 2 π f
ω = 2 x π x 49
ω = 307.72 rad/s
As we know that voltage given as
V= Vo sinω t
[tex]V_o=\sqrt2\ V_{rms}[/tex]
[tex]V_o=\sqrt2\ \times 82[/tex]\
Vo=115.96 V
V=115.96 sinω t
The current given as
[tex]I=C\dfrac{dV}{dt}[/tex]
[tex]I=0.74\times \dfrac{dV}{dt}\ mA[/tex]
[tex]\dfrac{dV}{dt}=115.96\omega cos\omega t[/tex]
[tex]I=0.74\times 115.96\times 307.22 cos\omega t\ mA[/tex]
I = 26362.67 cosω t mA
I = 26.36 cosω t A
This is the current at time ant time t.