The reading of the ammeter in the circuit sho | vedclass

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

Question

(A) In the given circuit,the capacitor (with reactance $X_C = 5 \ \Omega$) and the inductor (with reactance $X_L = 5 \ \Omega$) are connected in serie

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(A) In the given circuit,the capacitor (with reactance $X_C = 5 \ \Omega$) and the inductor (with reactance $X_L = 5 \ \Omega$) are connected in series with each other,and this combination is connected in parallel with the voltmeter. Since $X_L = X_C = 5 \ \Omega$,the branch containing the inductor and capacitor is in a state of series resonance. In a series $LC$ circuit at resonance,the net impedance $Z_{LC} = |X_L - X_C| = |5 \ \Omega - 5 \ \Omega| = 0 \ \Omega$. Therefore,the potential difference across the $LC$ combination is $V_{LC} = I 	imes Z_{LC} = I 	imes 0 = 0 \ V$. Since the voltmeter is connected across this $LC$ combination,it will read $0 \ V$. However,the ammeter is in series with the resistor $R = 55 \ \Omega$ and the $AC$ source of $110 \ V$. Since the $LC$ branch acts as a short circuit (zero impedance),the entire voltage of the source $110 \ V$ appears across the resistor $R$. Using Ohm's law,the current $I$ through the ammeter is $I = V / R = 110 \ V / 55 \ \Omega = 2 \ A$.

The reading of the ammeter in the circuit shown will be: (in $A$)

Similar Questions

The velocity $v$ reached by a car of mass $m$ at a certain distance from the starting point,driven with constant power $P$,is such that:

The distance between the parallel lines given by $(x+7y)^2 + 4\sqrt{2}(x+7y) - 42 = 0$ is

If $y=\frac{\log _e x}{x}$ and $z=\log _e x$,then $\frac{d^2 y}{d z^2}+\frac{d y}{d z}$ is equal to

If $(1, a)$ and $(b, 2)$ are conjugate points with respect to the circle $x^2+y^2=25$,then $4a+2b$ is equal to

If the distance $s$ travelled by a particle in time $t$ is given by $s=t^2-2t+5$, then its acceleration is

Vedclass Test Series

Exam Paper Generator

Online Exam Module