When an inductor is connected to an AC source | vedclass

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

Question

(D) The voltage across the inductor is $E = E_0 \sin(\omega t)$.In a pure inductor,the current lags the voltage by $\pi/2$,so $i = i_0 \sin(\omega t -

Vedclass · Accepted Answer

$2\omega$

Vedclass · Answer

(D) The voltage across the inductor is $E = E_0 \sin(\omega t)$.In a pure inductor,the current lags the voltage by $\pi/2$,so $i = i_0 \sin(\omega t - \pi/2) = -i_0 \cos(\omega t)$.The instantaneous power $P$ is given by $P = E \cdot i$.$P = (E_0 \sin(\omega t)) \cdot (-i_0 \cos(\omega t))$.$P = -E_0 i_0 \sin(\omega t) \cos(\omega t)$.Using the trigonometric identity $\sin(2	heta) = 2 \sin(	heta) \cos(	heta)$,we get:$P = -\frac{E_0 i_0}{2} \sin(2\omega t)$.The frequency of the instantaneous power is the coefficient of $t$ divided by $2\pi$. Since the angular frequency of the power is $2\omega$,the frequency is $2\omega$.

When an inductor is connected to an $AC$ source of frequency $\omega$,what is the frequency of the instantaneous power?

Similar Questions

In $AC$ circuits,a choke coil is preferred over resistors because:

Obtain an equation for the current when an $AC$ voltage is applied to an inductor and draw a graph of $V$ and $I$ versus time.

An inductor of inductance $2 \, mH$ is connected to a $220 \, V, 50 \, Hz$ $AC$ source. Let the inductive reactance in the circuit be $X_1$. If a $220 \, V$ $DC$ source replaces the $AC$ source in the circuit,then the inductive reactance in the circuit is $X_2$. $X_1$ and $X_2$ respectively are:

$A$ coil has an inductance of $2 \ H$. The ratio of its reactance when it is connected first to an $A.C.$ source and then to a $D.C.$ source is:

$A$ $100 \mu F$ capacitor is connected to a $100 \text{ V}$, $50 \text{ Hz}$ $AC$ supply. The rms value of the current is (in $\text{ A}$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module