02. A.C. Circuit (L-C-R, LC Circuit)
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Alternating Current

155263 In a circuit $L, C$ and $R$ are connected in series with an alternating voltage source of frequency f. The current leads the voltage by $45^{\circ}$. The value of $C$ is

1 $\frac{1}{2 \pi f(2 \pi f L+R)}$
2 $\frac{1}{\pi f(2 \pi f L+R)}$
3 $\frac{1}{2 \pi f(2 \pi f L-R)}$
4 $\frac{1}{\pi \mathrm{f}(2 \pi \mathrm{fL}-\mathrm{R})}$
TS EAMCET (Engg.)-2015]
Alternating Current

155264 An L-C-R series circuit with a resistance of $100 \Omega$ is connected to $200 \mathrm{~V}$ (AC source) and angular frequency $300 \mathrm{rad} / \mathrm{s}$. When only the capacitor is removed, then the current lags behind the voltage by $60^{\circ}$. When only the inductor is removed by the current leads the voltage by $60^{\circ}$. The average power dissipated in original $\mathbf{L}-\mathrm{C}-\mathrm{R}$ circuit is

1 $50 \mathrm{~W}$
2 $100 \mathrm{~W}$
3 $200 \mathrm{~W}$
4 $400 \mathrm{~W}$
JIPMER-2016
Alternating Current

155265 A series LCR circuit is connected across a sauce of alternating emf of changing frequency and resonates at frequency $f_{0}$. Keeping capacitance constant, if the inductance $(L)$ is increased by $\sqrt{3}$ times and resistance is increased $(R)$ by 1.4 times, the resonant frequency now is

1 $3^{1 / 4} f_{0}$
2 $\sqrt{3} \mathrm{f}_{0}$
3 $(\sqrt{3}-1)^{1 / 4} \mathrm{f}_{0}$
4 $\left(\frac{1}{3}\right)^{1 / 4} \mathrm{f}_{0}$
AP EAMCET -2013
Alternating Current

155266 The natural frequency of an L-C circuit is $\mathbf{1 2 5}$ kHz. When the capacitor is totally filled with a dielectric material, the natural frequency decreases by $25 \mathrm{kHz}$. Dielectric constant of the material is nearly

1 3.33
2 2.12
3 1.56
4 1.91
AP EAMCET -2016
Alternating Current

155267 Two bulbs marked $200 \mathrm{~V}-100 \mathrm{~W}$ and $200 \mathrm{~V}-200$ $W$ are joined in series and connected to a power supply of $200 \mathrm{~V}$. The total power consumed by the two will be near to

1 35 watt
2 66 watt
3 100 watt
4 300 watt
AMU-2009
Join With Us for More Updates
Alternating Current

155263 In a circuit $L, C$ and $R$ are connected in series with an alternating voltage source of frequency f. The current leads the voltage by $45^{\circ}$. The value of $C$ is

1 $\frac{1}{2 \pi f(2 \pi f L+R)}$
2 $\frac{1}{\pi f(2 \pi f L+R)}$
3 $\frac{1}{2 \pi f(2 \pi f L-R)}$
4 $\frac{1}{\pi \mathrm{f}(2 \pi \mathrm{fL}-\mathrm{R})}$
TS EAMCET (Engg.)-2015]
Alternating Current

155264 An L-C-R series circuit with a resistance of $100 \Omega$ is connected to $200 \mathrm{~V}$ (AC source) and angular frequency $300 \mathrm{rad} / \mathrm{s}$. When only the capacitor is removed, then the current lags behind the voltage by $60^{\circ}$. When only the inductor is removed by the current leads the voltage by $60^{\circ}$. The average power dissipated in original $\mathbf{L}-\mathrm{C}-\mathrm{R}$ circuit is

1 $50 \mathrm{~W}$
2 $100 \mathrm{~W}$
3 $200 \mathrm{~W}$
4 $400 \mathrm{~W}$
JIPMER-2016
Alternating Current

155265 A series LCR circuit is connected across a sauce of alternating emf of changing frequency and resonates at frequency $f_{0}$. Keeping capacitance constant, if the inductance $(L)$ is increased by $\sqrt{3}$ times and resistance is increased $(R)$ by 1.4 times, the resonant frequency now is

1 $3^{1 / 4} f_{0}$
2 $\sqrt{3} \mathrm{f}_{0}$
3 $(\sqrt{3}-1)^{1 / 4} \mathrm{f}_{0}$
4 $\left(\frac{1}{3}\right)^{1 / 4} \mathrm{f}_{0}$
AP EAMCET -2013
Alternating Current

155266 The natural frequency of an L-C circuit is $\mathbf{1 2 5}$ kHz. When the capacitor is totally filled with a dielectric material, the natural frequency decreases by $25 \mathrm{kHz}$. Dielectric constant of the material is nearly

1 3.33
2 2.12
3 1.56
4 1.91
AP EAMCET -2016
Alternating Current

155267 Two bulbs marked $200 \mathrm{~V}-100 \mathrm{~W}$ and $200 \mathrm{~V}-200$ $W$ are joined in series and connected to a power supply of $200 \mathrm{~V}$. The total power consumed by the two will be near to

1 35 watt
2 66 watt
3 100 watt
4 300 watt
AMU-2009
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Alternating Current

155263 In a circuit $L, C$ and $R$ are connected in series with an alternating voltage source of frequency f. The current leads the voltage by $45^{\circ}$. The value of $C$ is

1 $\frac{1}{2 \pi f(2 \pi f L+R)}$
2 $\frac{1}{\pi f(2 \pi f L+R)}$
3 $\frac{1}{2 \pi f(2 \pi f L-R)}$
4 $\frac{1}{\pi \mathrm{f}(2 \pi \mathrm{fL}-\mathrm{R})}$
TS EAMCET (Engg.)-2015]
Alternating Current

155264 An L-C-R series circuit with a resistance of $100 \Omega$ is connected to $200 \mathrm{~V}$ (AC source) and angular frequency $300 \mathrm{rad} / \mathrm{s}$. When only the capacitor is removed, then the current lags behind the voltage by $60^{\circ}$. When only the inductor is removed by the current leads the voltage by $60^{\circ}$. The average power dissipated in original $\mathbf{L}-\mathrm{C}-\mathrm{R}$ circuit is

1 $50 \mathrm{~W}$
2 $100 \mathrm{~W}$
3 $200 \mathrm{~W}$
4 $400 \mathrm{~W}$
JIPMER-2016
Alternating Current

155265 A series LCR circuit is connected across a sauce of alternating emf of changing frequency and resonates at frequency $f_{0}$. Keeping capacitance constant, if the inductance $(L)$ is increased by $\sqrt{3}$ times and resistance is increased $(R)$ by 1.4 times, the resonant frequency now is

1 $3^{1 / 4} f_{0}$
2 $\sqrt{3} \mathrm{f}_{0}$
3 $(\sqrt{3}-1)^{1 / 4} \mathrm{f}_{0}$
4 $\left(\frac{1}{3}\right)^{1 / 4} \mathrm{f}_{0}$
AP EAMCET -2013
Alternating Current

155266 The natural frequency of an L-C circuit is $\mathbf{1 2 5}$ kHz. When the capacitor is totally filled with a dielectric material, the natural frequency decreases by $25 \mathrm{kHz}$. Dielectric constant of the material is nearly

1 3.33
2 2.12
3 1.56
4 1.91
AP EAMCET -2016
Alternating Current

155267 Two bulbs marked $200 \mathrm{~V}-100 \mathrm{~W}$ and $200 \mathrm{~V}-200$ $W$ are joined in series and connected to a power supply of $200 \mathrm{~V}$. The total power consumed by the two will be near to

1 35 watt
2 66 watt
3 100 watt
4 300 watt
AMU-2009
NEET DIGITAL LIBRARY
Alternating Current

155263 In a circuit $L, C$ and $R$ are connected in series with an alternating voltage source of frequency f. The current leads the voltage by $45^{\circ}$. The value of $C$ is

1 $\frac{1}{2 \pi f(2 \pi f L+R)}$
2 $\frac{1}{\pi f(2 \pi f L+R)}$
3 $\frac{1}{2 \pi f(2 \pi f L-R)}$
4 $\frac{1}{\pi \mathrm{f}(2 \pi \mathrm{fL}-\mathrm{R})}$
TS EAMCET (Engg.)-2015]
Alternating Current

155264 An L-C-R series circuit with a resistance of $100 \Omega$ is connected to $200 \mathrm{~V}$ (AC source) and angular frequency $300 \mathrm{rad} / \mathrm{s}$. When only the capacitor is removed, then the current lags behind the voltage by $60^{\circ}$. When only the inductor is removed by the current leads the voltage by $60^{\circ}$. The average power dissipated in original $\mathbf{L}-\mathrm{C}-\mathrm{R}$ circuit is

1 $50 \mathrm{~W}$
2 $100 \mathrm{~W}$
3 $200 \mathrm{~W}$
4 $400 \mathrm{~W}$
JIPMER-2016
Alternating Current

155265 A series LCR circuit is connected across a sauce of alternating emf of changing frequency and resonates at frequency $f_{0}$. Keeping capacitance constant, if the inductance $(L)$ is increased by $\sqrt{3}$ times and resistance is increased $(R)$ by 1.4 times, the resonant frequency now is

1 $3^{1 / 4} f_{0}$
2 $\sqrt{3} \mathrm{f}_{0}$
3 $(\sqrt{3}-1)^{1 / 4} \mathrm{f}_{0}$
4 $\left(\frac{1}{3}\right)^{1 / 4} \mathrm{f}_{0}$
AP EAMCET -2013
Alternating Current

155266 The natural frequency of an L-C circuit is $\mathbf{1 2 5}$ kHz. When the capacitor is totally filled with a dielectric material, the natural frequency decreases by $25 \mathrm{kHz}$. Dielectric constant of the material is nearly

1 3.33
2 2.12
3 1.56
4 1.91
AP EAMCET -2016
Alternating Current

155267 Two bulbs marked $200 \mathrm{~V}-100 \mathrm{~W}$ and $200 \mathrm{~V}-200$ $W$ are joined in series and connected to a power supply of $200 \mathrm{~V}$. The total power consumed by the two will be near to

1 35 watt
2 66 watt
3 100 watt
4 300 watt
AMU-2009
Join With Us for More Updates
Alternating Current

155263 In a circuit $L, C$ and $R$ are connected in series with an alternating voltage source of frequency f. The current leads the voltage by $45^{\circ}$. The value of $C$ is

1 $\frac{1}{2 \pi f(2 \pi f L+R)}$
2 $\frac{1}{\pi f(2 \pi f L+R)}$
3 $\frac{1}{2 \pi f(2 \pi f L-R)}$
4 $\frac{1}{\pi \mathrm{f}(2 \pi \mathrm{fL}-\mathrm{R})}$
TS EAMCET (Engg.)-2015]
Alternating Current

155264 An L-C-R series circuit with a resistance of $100 \Omega$ is connected to $200 \mathrm{~V}$ (AC source) and angular frequency $300 \mathrm{rad} / \mathrm{s}$. When only the capacitor is removed, then the current lags behind the voltage by $60^{\circ}$. When only the inductor is removed by the current leads the voltage by $60^{\circ}$. The average power dissipated in original $\mathbf{L}-\mathrm{C}-\mathrm{R}$ circuit is

1 $50 \mathrm{~W}$
2 $100 \mathrm{~W}$
3 $200 \mathrm{~W}$
4 $400 \mathrm{~W}$
JIPMER-2016
Alternating Current

155265 A series LCR circuit is connected across a sauce of alternating emf of changing frequency and resonates at frequency $f_{0}$. Keeping capacitance constant, if the inductance $(L)$ is increased by $\sqrt{3}$ times and resistance is increased $(R)$ by 1.4 times, the resonant frequency now is

1 $3^{1 / 4} f_{0}$
2 $\sqrt{3} \mathrm{f}_{0}$
3 $(\sqrt{3}-1)^{1 / 4} \mathrm{f}_{0}$
4 $\left(\frac{1}{3}\right)^{1 / 4} \mathrm{f}_{0}$
AP EAMCET -2013
Alternating Current

155266 The natural frequency of an L-C circuit is $\mathbf{1 2 5}$ kHz. When the capacitor is totally filled with a dielectric material, the natural frequency decreases by $25 \mathrm{kHz}$. Dielectric constant of the material is nearly

1 3.33
2 2.12
3 1.56
4 1.91
AP EAMCET -2016
Alternating Current

155267 Two bulbs marked $200 \mathrm{~V}-100 \mathrm{~W}$ and $200 \mathrm{~V}-200$ $W$ are joined in series and connected to a power supply of $200 \mathrm{~V}$. The total power consumed by the two will be near to

1 35 watt
2 66 watt
3 100 watt
4 300 watt
AMU-2009