An inductor of self-inductance 1 H is connec | vedclass

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

Question

(A) Given: Self-inductance $L = 1 \ H$,Resistance $R = 100 \pi \ \Omega$,Voltage $V_{rms} = 100 \pi \ V$,Frequency $f = 50 \ Hz$.First,calculate the i

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Given: Self-inductance $L = 1 \ H$,Resistance $R = 100 \pi \ \Omega$,Voltage $V_{rms} = 100 \pi \ V$,Frequency $f = 50 \ Hz$.First,calculate the inductive reactance $X_L = \omega L = 2 \pi f L = 2 \pi 	imes 50 	imes 1 = 100 \pi \ \Omega$.The impedance of the $LR$ series circuit is $Z = \sqrt{R^2 + X_L^2} = \sqrt{(100 \pi)^2 + (100 \pi)^2} = \sqrt{2 	imes (100 \pi)^2} = 100 \pi \sqrt{2} \ \Omega$.The $RMS$ current is $I_{rms} = \frac{V_{rms}}{Z} = \frac{100 \pi}{100 \pi \sqrt{2}} = \frac{1}{\sqrt{2}} \ A$.The maximum current $I_{max}$ is given by $I_{max} = I_{rms} \sqrt{2} = \frac{1}{\sqrt{2}} 	imes \sqrt{2} = 1 \ A$.

An inductor of self-inductance $1 \ H$ is connected in series with a resistor of $100 \pi \ \Omega$ and an $AC$ supply of $100 \pi \ V$,$50 \ Hz$. The maximum current flowing in the circuit is . . . . . . $A$.

Similar Questions

In the figure,if $A$ and $B$ are identical bulbs,which bulb glows brighter?

For a series $LCR$ circuit, inductive reactance $X_L$ is equal to resistance $R$ and also equal to twice the capacitive reactance $X_C$. The impedance of the circuit and the phase difference between voltage $V$ and current $i$ are respectively

In an $AC$ circuit,a resistance of $R$ $\Omega$ is connected in series with an inductor of self-inductance $L$. If the phase angle between voltage and current is $45^{\circ}$,the value of inductive reactance $(X_{L})$ will be equal to . . . . . . .

$A$ resistor of $300 \Omega$ and an inductor of $\frac{1}{\pi} \text{ H}$ are connected in series with a $20 \text{ V}$,$200 \text{ Hz}$ $AC$ source. What is the phase difference between the current and the voltage?

Switch $S$ is closed at $t = 0$. After a sufficiently long time,an iron rod is inserted into the inductor $L$. Then,the light bulb:

Vedclass Test Series

Exam Paper Generator

Online Exam Module