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

155116 An LC circuit contains $196 \mathrm{pF}$ capacitor and a $441 \mu \mathrm{H}$ inductor. The frequency of electromagnetic radiation emitted by antenna coupled to the $\mathbf{L C}$ circuit is

1 $7.96 \times 10^{5} \mathrm{~Hz}$
2 $54.1 \times 10^{5} \mathrm{~Hz}$
3 $79.6 \times 10^{5} \mathrm{~Hz}$
4 $5.41 \times 10^{5} \mathrm{~Hz}$
Alternating Current

155117 The figure shows an LCR network connected to a $300 \mathrm{~V}$ AC supply. The circuit element are such that $R=X_{L}=X_{C}=10 \Omega$ Three voltmeters $V_{1}, V_{2}$ and $V_{3}$ are connected as shown. Which of the following represents the correct set of readings of the voltmeters?

1 $\mathrm{V}_{1}=100 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
2 $\mathrm{V}_{1}=150 \mathrm{~V}, \mathrm{~V}_{2}=0 \mathrm{~V}, \mathrm{~V}_{3}=150 \mathrm{~V}$
3 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
4 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=300 \mathrm{~V}, \mathrm{~V}_{3}=300 \mathrm{~V}$
Alternating Current

155118 The network shown in the figure is a part of a complete circuit. If at a certain insant, the current ' $i$ ' is $5 \mathrm{~A}$ and is decreasing at a rate of $10^{3} \mathrm{~A} \mathrm{~s}^{-1}$ then the potential difference $V_{B A}=$

1 $5 \mathrm{~V}$
2 $10 \mathrm{~V}$
3 $15 \mathrm{~V}$
4 $20 \mathrm{~V}$
Alternating Current

155119 The initial rate of increase of current, when a battery of emf $6 \mathrm{~V}$ is connected in series with an inductance of $2 \mathrm{H}$ and resistance $12 \Omega$ is

1 $0.5 \mathrm{~A} \mathrm{~s}^{-1}$
2 $1 \mathrm{~A} \mathrm{~s}^{-1}$
3 $3 \mathrm{~A} \mathrm{~s}^{-1}$
4 $4 \mathrm{~A} \mathrm{~s}^{-1}$
Alternating Current

155120 In series LCR AC circuit, the capacitance is changes from $C$ to $4 \mathrm{C}$. For the same resonant frequency, the inductance should be changed from $L$ to

1 $\frac{\mathrm{L}}{4}$
2 $\frac{\mathrm{L}}{2}$
3 $2 \mathrm{~L}$
4 $4 \mathrm{~L}$
Alternating Current

155116 An LC circuit contains $196 \mathrm{pF}$ capacitor and a $441 \mu \mathrm{H}$ inductor. The frequency of electromagnetic radiation emitted by antenna coupled to the $\mathbf{L C}$ circuit is

1 $7.96 \times 10^{5} \mathrm{~Hz}$
2 $54.1 \times 10^{5} \mathrm{~Hz}$
3 $79.6 \times 10^{5} \mathrm{~Hz}$
4 $5.41 \times 10^{5} \mathrm{~Hz}$
Alternating Current

155117 The figure shows an LCR network connected to a $300 \mathrm{~V}$ AC supply. The circuit element are such that $R=X_{L}=X_{C}=10 \Omega$ Three voltmeters $V_{1}, V_{2}$ and $V_{3}$ are connected as shown. Which of the following represents the correct set of readings of the voltmeters?

1 $\mathrm{V}_{1}=100 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
2 $\mathrm{V}_{1}=150 \mathrm{~V}, \mathrm{~V}_{2}=0 \mathrm{~V}, \mathrm{~V}_{3}=150 \mathrm{~V}$
3 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
4 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=300 \mathrm{~V}, \mathrm{~V}_{3}=300 \mathrm{~V}$
Alternating Current

155118 The network shown in the figure is a part of a complete circuit. If at a certain insant, the current ' $i$ ' is $5 \mathrm{~A}$ and is decreasing at a rate of $10^{3} \mathrm{~A} \mathrm{~s}^{-1}$ then the potential difference $V_{B A}=$

1 $5 \mathrm{~V}$
2 $10 \mathrm{~V}$
3 $15 \mathrm{~V}$
4 $20 \mathrm{~V}$
Alternating Current

155119 The initial rate of increase of current, when a battery of emf $6 \mathrm{~V}$ is connected in series with an inductance of $2 \mathrm{H}$ and resistance $12 \Omega$ is

1 $0.5 \mathrm{~A} \mathrm{~s}^{-1}$
2 $1 \mathrm{~A} \mathrm{~s}^{-1}$
3 $3 \mathrm{~A} \mathrm{~s}^{-1}$
4 $4 \mathrm{~A} \mathrm{~s}^{-1}$
Alternating Current

155120 In series LCR AC circuit, the capacitance is changes from $C$ to $4 \mathrm{C}$. For the same resonant frequency, the inductance should be changed from $L$ to

1 $\frac{\mathrm{L}}{4}$
2 $\frac{\mathrm{L}}{2}$
3 $2 \mathrm{~L}$
4 $4 \mathrm{~L}$
Alternating Current

155116 An LC circuit contains $196 \mathrm{pF}$ capacitor and a $441 \mu \mathrm{H}$ inductor. The frequency of electromagnetic radiation emitted by antenna coupled to the $\mathbf{L C}$ circuit is

1 $7.96 \times 10^{5} \mathrm{~Hz}$
2 $54.1 \times 10^{5} \mathrm{~Hz}$
3 $79.6 \times 10^{5} \mathrm{~Hz}$
4 $5.41 \times 10^{5} \mathrm{~Hz}$
Alternating Current

155117 The figure shows an LCR network connected to a $300 \mathrm{~V}$ AC supply. The circuit element are such that $R=X_{L}=X_{C}=10 \Omega$ Three voltmeters $V_{1}, V_{2}$ and $V_{3}$ are connected as shown. Which of the following represents the correct set of readings of the voltmeters?

1 $\mathrm{V}_{1}=100 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
2 $\mathrm{V}_{1}=150 \mathrm{~V}, \mathrm{~V}_{2}=0 \mathrm{~V}, \mathrm{~V}_{3}=150 \mathrm{~V}$
3 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
4 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=300 \mathrm{~V}, \mathrm{~V}_{3}=300 \mathrm{~V}$
Alternating Current

155118 The network shown in the figure is a part of a complete circuit. If at a certain insant, the current ' $i$ ' is $5 \mathrm{~A}$ and is decreasing at a rate of $10^{3} \mathrm{~A} \mathrm{~s}^{-1}$ then the potential difference $V_{B A}=$

1 $5 \mathrm{~V}$
2 $10 \mathrm{~V}$
3 $15 \mathrm{~V}$
4 $20 \mathrm{~V}$
Alternating Current

155119 The initial rate of increase of current, when a battery of emf $6 \mathrm{~V}$ is connected in series with an inductance of $2 \mathrm{H}$ and resistance $12 \Omega$ is

1 $0.5 \mathrm{~A} \mathrm{~s}^{-1}$
2 $1 \mathrm{~A} \mathrm{~s}^{-1}$
3 $3 \mathrm{~A} \mathrm{~s}^{-1}$
4 $4 \mathrm{~A} \mathrm{~s}^{-1}$
Alternating Current

155120 In series LCR AC circuit, the capacitance is changes from $C$ to $4 \mathrm{C}$. For the same resonant frequency, the inductance should be changed from $L$ to

1 $\frac{\mathrm{L}}{4}$
2 $\frac{\mathrm{L}}{2}$
3 $2 \mathrm{~L}$
4 $4 \mathrm{~L}$
Alternating Current

155116 An LC circuit contains $196 \mathrm{pF}$ capacitor and a $441 \mu \mathrm{H}$ inductor. The frequency of electromagnetic radiation emitted by antenna coupled to the $\mathbf{L C}$ circuit is

1 $7.96 \times 10^{5} \mathrm{~Hz}$
2 $54.1 \times 10^{5} \mathrm{~Hz}$
3 $79.6 \times 10^{5} \mathrm{~Hz}$
4 $5.41 \times 10^{5} \mathrm{~Hz}$
Alternating Current

155117 The figure shows an LCR network connected to a $300 \mathrm{~V}$ AC supply. The circuit element are such that $R=X_{L}=X_{C}=10 \Omega$ Three voltmeters $V_{1}, V_{2}$ and $V_{3}$ are connected as shown. Which of the following represents the correct set of readings of the voltmeters?

1 $\mathrm{V}_{1}=100 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
2 $\mathrm{V}_{1}=150 \mathrm{~V}, \mathrm{~V}_{2}=0 \mathrm{~V}, \mathrm{~V}_{3}=150 \mathrm{~V}$
3 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
4 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=300 \mathrm{~V}, \mathrm{~V}_{3}=300 \mathrm{~V}$
Alternating Current

155118 The network shown in the figure is a part of a complete circuit. If at a certain insant, the current ' $i$ ' is $5 \mathrm{~A}$ and is decreasing at a rate of $10^{3} \mathrm{~A} \mathrm{~s}^{-1}$ then the potential difference $V_{B A}=$

1 $5 \mathrm{~V}$
2 $10 \mathrm{~V}$
3 $15 \mathrm{~V}$
4 $20 \mathrm{~V}$
Alternating Current

155119 The initial rate of increase of current, when a battery of emf $6 \mathrm{~V}$ is connected in series with an inductance of $2 \mathrm{H}$ and resistance $12 \Omega$ is

1 $0.5 \mathrm{~A} \mathrm{~s}^{-1}$
2 $1 \mathrm{~A} \mathrm{~s}^{-1}$
3 $3 \mathrm{~A} \mathrm{~s}^{-1}$
4 $4 \mathrm{~A} \mathrm{~s}^{-1}$
Alternating Current

155120 In series LCR AC circuit, the capacitance is changes from $C$ to $4 \mathrm{C}$. For the same resonant frequency, the inductance should be changed from $L$ to

1 $\frac{\mathrm{L}}{4}$
2 $\frac{\mathrm{L}}{2}$
3 $2 \mathrm{~L}$
4 $4 \mathrm{~L}$
Alternating Current

155116 An LC circuit contains $196 \mathrm{pF}$ capacitor and a $441 \mu \mathrm{H}$ inductor. The frequency of electromagnetic radiation emitted by antenna coupled to the $\mathbf{L C}$ circuit is

1 $7.96 \times 10^{5} \mathrm{~Hz}$
2 $54.1 \times 10^{5} \mathrm{~Hz}$
3 $79.6 \times 10^{5} \mathrm{~Hz}$
4 $5.41 \times 10^{5} \mathrm{~Hz}$
Alternating Current

155117 The figure shows an LCR network connected to a $300 \mathrm{~V}$ AC supply. The circuit element are such that $R=X_{L}=X_{C}=10 \Omega$ Three voltmeters $V_{1}, V_{2}$ and $V_{3}$ are connected as shown. Which of the following represents the correct set of readings of the voltmeters?

1 $\mathrm{V}_{1}=100 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
2 $\mathrm{V}_{1}=150 \mathrm{~V}, \mathrm{~V}_{2}=0 \mathrm{~V}, \mathrm{~V}_{3}=150 \mathrm{~V}$
3 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=100 \mathrm{~V}, \mathrm{~V}_{3}=100 \mathrm{~V}$
4 $\mathrm{V}_{1}=300 \mathrm{~V}, \mathrm{~V}_{2}=300 \mathrm{~V}, \mathrm{~V}_{3}=300 \mathrm{~V}$
Alternating Current

155118 The network shown in the figure is a part of a complete circuit. If at a certain insant, the current ' $i$ ' is $5 \mathrm{~A}$ and is decreasing at a rate of $10^{3} \mathrm{~A} \mathrm{~s}^{-1}$ then the potential difference $V_{B A}=$

1 $5 \mathrm{~V}$
2 $10 \mathrm{~V}$
3 $15 \mathrm{~V}$
4 $20 \mathrm{~V}$
Alternating Current

155119 The initial rate of increase of current, when a battery of emf $6 \mathrm{~V}$ is connected in series with an inductance of $2 \mathrm{H}$ and resistance $12 \Omega$ is

1 $0.5 \mathrm{~A} \mathrm{~s}^{-1}$
2 $1 \mathrm{~A} \mathrm{~s}^{-1}$
3 $3 \mathrm{~A} \mathrm{~s}^{-1}$
4 $4 \mathrm{~A} \mathrm{~s}^{-1}$
Alternating Current

155120 In series LCR AC circuit, the capacitance is changes from $C$ to $4 \mathrm{C}$. For the same resonant frequency, the inductance should be changed from $L$ to

1 $\frac{\mathrm{L}}{4}$
2 $\frac{\mathrm{L}}{2}$
3 $2 \mathrm{~L}$
4 $4 \mathrm{~L}$