(D) For the inductor coil at $50 \, Hz$:$X_L = \frac{V}{I} = \frac{100}{8} = 12.5 \, \Omega$.For the resistor:$R = \frac{V}{I} = \frac{100}{10} = 10 \

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(D) For the inductor coil at $50 \, Hz$:$X_L = \frac{V}{I} = \frac{100}{8} = 12.5 \, \Omega$.For the resistor:$R = \frac{V}{I} = \frac{100}{10} = 10 \, \Omega$.At the new frequency $f' = 40 \, Hz$, the new inductive reactance $X_L'$ is:$X_L' = X_L \times \frac{f'}{f} = 12.5 \times \frac{40}{50} = 10 \, \Omega$.When connected in series, the impedance $Z$ is:$Z = \sqrt{R^2 + (X_L')^2} = \sqrt{10^2 + 10^2} = 10\sqrt{2} \, \Omega$.The current $I$ in the series circuit is:$I = \frac{V}{Z} = \frac{100}{10\sqrt{2}} = \frac{10}{\sqrt{2}} = 5\sqrt{2} \, A$.

Class 12 Physics Alternating Current Inductance, Capacitance and Resistance in Series and Parallel

Difficult

An inductor coil takes a current of $8 \, A$ when connected to a $100 \, V$ and $50 \, Hz$ $AC$ source. $A$ pure resistor under the same condition takes a current of $10 \, A$. If the inductor coil and resistor are connected in series to a $100 \, V$ and $40 \, Hz$ $AC$ supply, then the current in the series combination of the above resistor and inductor is:

MHT CET 2021 All MHT CET

A
$\frac{10}{\sqrt{3}} \, A$
B
$\frac{5}{\sqrt{2}} \, A$
C
$10 \sqrt{2} \, A$
D
$5 \sqrt{2} \, A$

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Class 12

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Alternating Current

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Inductance, Capacitance and Resistance in Series and Parallel

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MHT CET 2021 Paper All MHT CET years →

In an $LCR$ series circuit,if the angular frequency $\omega$ is gradually increased,then match the following columns:
Column-$I$ Column-$II$
$(A)$ Capacitive reactance $(i)$ Will continuously increase
$(B)$ Inductive reactance (ii) Will remain constant
$(C)$ Resistance (iii) Will first decrease and then increase
$(D)$ Total impedance (iv) Will continuously decrease

Column-$I$	Column-$II$
$(A)$ Capacitive reactance	$(i)$ Will continuously increase
$(B)$ Inductive reactance	(ii) Will remain constant
$(C)$ Resistance	(iii) Will first decrease and then increase
$(D)$ Total impedance	(iv) Will continuously decrease

EasyMHT CET 2022

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In the $LCR$ circuit shown in the figure,what will be the readings of the voltmeter across the resistor $(V_R)$ and the ammeter $(A)$ if an a.c. source of $220 \ V$ and $100 \ Hz$ is connected to it?

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$A$ series $R-L-C$ circuit consists of an $8.0\ \Omega$ resistor,a $5.0\ \mu F$ capacitor,and a $50.0\ mH$ inductor. $A$ variable frequency source applies an $emf$ of $400\ V\ (rms)$ across the combination. The power delivered to the circuit when the frequency is equal to one-half the resonance frequency is.....$W$

Medium

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In the given $LCR$ $AC$ circuit,the effective current flowing through the circuit will be:

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$A$ capacitance of $\left(\frac{10^{-3}}{2 \pi}\right) F$,an inductance of $\left(\frac{100}{\pi}\right) mH$,and a resistance of $10 \Omega$ are connected in series with an $AC$ voltage source of $220 V, 50 Hz$. The phase angle of the circuit is (in $^{\circ}$)

MediumTS EAMCET 2016

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In the $LCR$ circuit shown in the figure,what will be the readings of the voltmeter across the resistor $(V_R)$ and the ammeter $(A)$ if an a.c. source of $220 \ V$ and $100 \ Hz$ is connected to it?

In the given $LCR$ $AC$ circuit,the effective current flowing through the circuit will be:

$A$ capacitance of $\left(\frac{10^{-3}}{2 \pi}\right) F$,an inductance of $\left(\frac{100}{\pi}\right) mH$,and a resistance of $10 \Omega$ are connected in series with an $AC$ voltage source of $220 V, 50 Hz$. The phase angle of the circuit is (in $^{\circ}$)

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