In an a.c. circuit with pure capacitance C an | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) In a pure capacitive circuit, the current leads the voltage by a phase angle of $\pi/2$ radians.The instantaneous voltage is given by $E = E_0 \si

Vedclass · Accepted Answer

$I = E_0 \omega C \sin(\omega t + \pi/2)$

Vedclass · Answer

(B) In a pure capacitive circuit, the current leads the voltage by a phase angle of $\pi/2$ radians.The instantaneous voltage is given by $E = E_0 \sin(\omega t)$.The capacitive reactance is $X_C = \frac{1}{\omega C}$.The instantaneous current $I$ is given by $I = \frac{E}{X_C} = \frac{E_0 \sin(\omega t)}{1/(\omega C)} = E_0 \omega C \sin(\omega t)$.Since the current leads the voltage by $\pi/2$, we add $\pi/2$ to the phase of the voltage.Therefore, the instantaneous current is $I = E_0 \omega C \sin(\omega t + \pi/2)$.

In an a.c. circuit with pure capacitance $C$ and a.c. source $E = E_0 \sin \omega t$, the equation of instantaneous current is given by

Similar Questions

An alternating voltage of $22 \, V$ is applied across an inductance coil of reactance $11 \, \Omega$. If the inductance of the coil is $0.07 \, H$, the frequency of the alternating voltage is: (in $ \, Hz$)

An alternating voltage $V(t) = 220 \sin(100 \pi t)$ volt is applied to a purely resistive load of $50 \ \Omega$. The time taken for the current to rise from half of the peak value to the peak value is: (in $ms$)

$A$ pure inductor of $25.0 \; mH$ is connected to a source of $220 \; V$. Find the inductive reactance and rms current in the circuit if the frequency of the source is $50 \; Hz$.

$A$ $44 \; mH$ inductor is connected to $220 \; V, 50 \; Hz$ $ac$ supply. Determine the $rms$ value of the current (in $A$) in the circuit.

When an $A$.$C$. source is connected across a pure capacitor,the correct phase relation between current $(i_c)$ and voltage $(e_c)$ is shown in the figure.

Vedclass Test Series

Exam Paper Generator

Online Exam Module