Question

Analyse the AC circult containing only one capacitor?​

Answer 1

Explanation:

AC circuit containing only a capacitor

AC circuit containing only a capacitorConsider a circuit containing a capacitor of capacitance C connected across an alternating voltage source

...

Let q be the instantaneous charge on the capacitor. ...

By the definition of current,

Instantaneous value of current,

where [Vm] / [1/Cω] = Im , the peak value of the alternating current.

Answer 2

Answer:

AC circuit containing only a capacitor

Consider a circuit containing a capacitor of capacitance C connected across an alternating voltage source (Figure 4.49). The alternating voltage is given by

Let q be the instantaneous charge on the capacitor. The emf across the capacitor at that instant is q/C According to Kirchoff’s loop rule,

By the definition of current,

Instantaneous value of current,

where [Vm] / [1/Cω] = Im , the peak value of the alternating current. From equations (4.49) and (4.50), it is clear that current leads the applied voltage by π/2 in a capacitive circuit. This is shown pictorially in Figure 4.50. The wave diagram for a capacitive circuit also shows that the current leads the applied voltage by 90º.