Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

I don’t understand the stuff at the end of the page.. why CD(V+ - V-)= Ic became

ID: 3348649 • Letter: I

Question

I don’t understand the stuff at the end of the page.. why CD(V+ - V-)= Ic became CD(-V+)=Ic??
I understand that V-= ground = 0 And V+= Vout I don’t understand why we have a minus sign in “ CD(-V+)=Ic”
Could someone explain?
r3 iy Pictue sep a6. i) electric? models ring), jin (?) jrICe) vol rage 1c across across: Voltage TLrought current i he fou of CLarge potentia l -shares sare across variable - Ttrongh ts con s erid at hades Node: Connecten poiT berveen ele ets Assunption 5:-ilol onduetors Cresistance res is negtigable - ideal elements Clement laws

Explanation / Answer

When we find current through capacitor, then Ic =CD(V+-V-)=C(-V0). This is because when we differentiate AC voltage we get negative value i.e. decreasing.

As the AC current through capacitor leads the capacitor voltage by 90 degree. Hence negative sign appears.

Note- please find me in comment box if you find any other query.