Resonance in Series LCR Circuit
PHXII07:ALTERNATING CURRENT

356236 A series \(LCR\) circuit with inductance 10 \(H\), capacitance \(10\mu F\), resistance \(50\Omega \) is conencted to an \(ac\) source of voltage,\(V = 200\,\sin (100\,t)\,volt\) . If the resonant frequency of the \(LCR\) circuit is \({v_0}\) and the frequency of the \(ac\) soruce is \(v\), then

1 \({v_o} = v = \frac{{50}}{\pi }Hz\)
2 \({v_o} = \frac{{50}}{\pi }Hz,\,v = 50\,Hz\)
3 \(v = 100\,Hz;\,{v_o} = \frac{{100}}{\pi }Hz\)
4 \({v_o} = v = 50\,Hz\)
PHXII07:ALTERNATING CURRENT

356237 In an \(L C R\) series circuit, if the angular frequency is gradually increased then match the following columns
supporting img

1 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{S}, \quad \mathrm{D}-\mathrm{Q}\)
2 \(\mathrm{A}-\mathrm{S}, \quad \mathrm{B}-\mathrm{P}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
3 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{S}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
4 \(\mathrm{A}-\mathrm{Q}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{P}, \quad \mathrm{D}-\mathrm{S}\)
PHXII07:ALTERNATING CURRENT

356238 In series \(L - C - R\) circuit, to increase the resonant frequency

1 \(L\) will have to be increased
2 \(C\) will have to be increased
3 \(LC\) will have to be decreased
4 \(LC\) will have to be increased
PHXII07:ALTERNATING CURRENT

356239 A circuit of negligible resistance has an inductor of \(0.16\,H\) and capacitor of \(25\,\mu {\rm{F}}\) connected in series with an alternating voltage source. The resonating frequency of the circuit is

1 \(\dfrac{200}{\pi}\)
2 \(\dfrac{250}{\pi}\)
3 \(\dfrac{400}{\pi}\)
4 \(\dfrac{150}{\pi}\)
PHXII07:ALTERNATING CURRENT

356236 A series \(LCR\) circuit with inductance 10 \(H\), capacitance \(10\mu F\), resistance \(50\Omega \) is conencted to an \(ac\) source of voltage,\(V = 200\,\sin (100\,t)\,volt\) . If the resonant frequency of the \(LCR\) circuit is \({v_0}\) and the frequency of the \(ac\) soruce is \(v\), then

1 \({v_o} = v = \frac{{50}}{\pi }Hz\)
2 \({v_o} = \frac{{50}}{\pi }Hz,\,v = 50\,Hz\)
3 \(v = 100\,Hz;\,{v_o} = \frac{{100}}{\pi }Hz\)
4 \({v_o} = v = 50\,Hz\)
PHXII07:ALTERNATING CURRENT

356237 In an \(L C R\) series circuit, if the angular frequency is gradually increased then match the following columns
supporting img

1 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{S}, \quad \mathrm{D}-\mathrm{Q}\)
2 \(\mathrm{A}-\mathrm{S}, \quad \mathrm{B}-\mathrm{P}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
3 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{S}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
4 \(\mathrm{A}-\mathrm{Q}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{P}, \quad \mathrm{D}-\mathrm{S}\)
PHXII07:ALTERNATING CURRENT

356238 In series \(L - C - R\) circuit, to increase the resonant frequency

1 \(L\) will have to be increased
2 \(C\) will have to be increased
3 \(LC\) will have to be decreased
4 \(LC\) will have to be increased
PHXII07:ALTERNATING CURRENT

356239 A circuit of negligible resistance has an inductor of \(0.16\,H\) and capacitor of \(25\,\mu {\rm{F}}\) connected in series with an alternating voltage source. The resonating frequency of the circuit is

1 \(\dfrac{200}{\pi}\)
2 \(\dfrac{250}{\pi}\)
3 \(\dfrac{400}{\pi}\)
4 \(\dfrac{150}{\pi}\)
PHXII07:ALTERNATING CURRENT

356236 A series \(LCR\) circuit with inductance 10 \(H\), capacitance \(10\mu F\), resistance \(50\Omega \) is conencted to an \(ac\) source of voltage,\(V = 200\,\sin (100\,t)\,volt\) . If the resonant frequency of the \(LCR\) circuit is \({v_0}\) and the frequency of the \(ac\) soruce is \(v\), then

1 \({v_o} = v = \frac{{50}}{\pi }Hz\)
2 \({v_o} = \frac{{50}}{\pi }Hz,\,v = 50\,Hz\)
3 \(v = 100\,Hz;\,{v_o} = \frac{{100}}{\pi }Hz\)
4 \({v_o} = v = 50\,Hz\)
PHXII07:ALTERNATING CURRENT

356237 In an \(L C R\) series circuit, if the angular frequency is gradually increased then match the following columns
supporting img

1 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{S}, \quad \mathrm{D}-\mathrm{Q}\)
2 \(\mathrm{A}-\mathrm{S}, \quad \mathrm{B}-\mathrm{P}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
3 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{S}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
4 \(\mathrm{A}-\mathrm{Q}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{P}, \quad \mathrm{D}-\mathrm{S}\)
PHXII07:ALTERNATING CURRENT

356238 In series \(L - C - R\) circuit, to increase the resonant frequency

1 \(L\) will have to be increased
2 \(C\) will have to be increased
3 \(LC\) will have to be decreased
4 \(LC\) will have to be increased
PHXII07:ALTERNATING CURRENT

356239 A circuit of negligible resistance has an inductor of \(0.16\,H\) and capacitor of \(25\,\mu {\rm{F}}\) connected in series with an alternating voltage source. The resonating frequency of the circuit is

1 \(\dfrac{200}{\pi}\)
2 \(\dfrac{250}{\pi}\)
3 \(\dfrac{400}{\pi}\)
4 \(\dfrac{150}{\pi}\)
PHXII07:ALTERNATING CURRENT

356236 A series \(LCR\) circuit with inductance 10 \(H\), capacitance \(10\mu F\), resistance \(50\Omega \) is conencted to an \(ac\) source of voltage,\(V = 200\,\sin (100\,t)\,volt\) . If the resonant frequency of the \(LCR\) circuit is \({v_0}\) and the frequency of the \(ac\) soruce is \(v\), then

1 \({v_o} = v = \frac{{50}}{\pi }Hz\)
2 \({v_o} = \frac{{50}}{\pi }Hz,\,v = 50\,Hz\)
3 \(v = 100\,Hz;\,{v_o} = \frac{{100}}{\pi }Hz\)
4 \({v_o} = v = 50\,Hz\)
PHXII07:ALTERNATING CURRENT

356237 In an \(L C R\) series circuit, if the angular frequency is gradually increased then match the following columns
supporting img

1 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{S}, \quad \mathrm{D}-\mathrm{Q}\)
2 \(\mathrm{A}-\mathrm{S}, \quad \mathrm{B}-\mathrm{P}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
3 \(\mathrm{A}-\mathrm{P}, \quad \mathrm{B}-\mathrm{S}, \quad \mathrm{C}-\mathrm{Q}, \quad \mathrm{D}-\mathrm{R}\)
4 \(\mathrm{A}-\mathrm{Q}, \quad \mathrm{B}-\mathrm{R}, \quad \mathrm{C}-\mathrm{P}, \quad \mathrm{D}-\mathrm{S}\)
PHXII07:ALTERNATING CURRENT

356238 In series \(L - C - R\) circuit, to increase the resonant frequency

1 \(L\) will have to be increased
2 \(C\) will have to be increased
3 \(LC\) will have to be decreased
4 \(LC\) will have to be increased
PHXII07:ALTERNATING CURRENT

356239 A circuit of negligible resistance has an inductor of \(0.16\,H\) and capacitor of \(25\,\mu {\rm{F}}\) connected in series with an alternating voltage source. The resonating frequency of the circuit is

1 \(\dfrac{200}{\pi}\)
2 \(\dfrac{250}{\pi}\)
3 \(\dfrac{400}{\pi}\)
4 \(\dfrac{150}{\pi}\)