(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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Alternating Current

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Inductance, Capacitance and Resistance in Series and Parallel

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Given below are the two circuits, choose the correct option.

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Consider the $L-C-R$ circuit given below. The circuit is driven by a $50 \,Hz, AC$ source with peak voltage $220 \,V$. If $R=400 \,\Omega, C=200 \,\mu F$ and $L=6 \,H$,the maximum current in the circuit is closest to ............ $A$.

MediumKVPY 2017

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In an $LCR$ circuit,the potential difference between the terminals of the inductor is $60\,V$,between the terminals of the capacitor is $30\,V$,and between the terminals of the resistor is $40\,V$. The supply voltage will be equal to ......$V$.

Easy

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EasyAP EAMCET 2020

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Consider the parallel $LCR$ circuit shown in the figure. Find the net current $i$ and the phase of $i$. Show that $i = \frac{V}{Z}$. Find the impedance $Z$ for this circuit.

Medium

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Given below are the two circuits, choose the correct option.

Consider the $L-C-R$ circuit given below. The circuit is driven by a $50 \,Hz, AC$ source with peak voltage $220 \,V$. If $R=400 \,\Omega, C=200 \,\mu F$ and $L=6 \,H$,the maximum current in the circuit is closest to ............ $A$.

In an $LCR$ circuit,the potential difference between the terminals of the inductor is $60\,V$,between the terminals of the capacitor is $30\,V$,and between the terminals of the resistor is $40\,V$. The supply voltage will be equal to ......$V$.

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