Home
Class 12
PHYSICS
If the P.D. across the inductor (3mH) is...

If the P.D. across the inductor `(3mH)` is the same as that across the condenser `(30 mu F)` in a series R-L-C circuit, then the frequency of the applied e.m.f. is

A

180 Hz

B

530 Hz

C

890 Hz

D

5 KHz

Text Solution

Verified by Experts

The correct Answer is:
B
When the P.D. across L=P.D. across C in a series L,C,R circuit, we get resonance. At resnance, `X_(L)=X_(C)`.
`:. omega L = 1/(omega C)`
and the resonant frequency
`f = 1/(2 pisqrt(LC))`
`=1/(2 xx 3.14) xx (1)/(sqrt(3 xx 10^(-3)xx30xx10^(-6))) = 530 Hz`.
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 16|30 Videos

  • ELASTICITY

    MARVEL PUBLICATION|Exercise Test Your Grasp - 5|15 Videos

  • ELECTRONS AND PHOTONS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP - 17|15 Videos

Similar Questions

Explore conceptually related problems

If the potential difference across the inductor (3mH) is same as that across the condenser (30muF) in a series R-L-C circuit, then the frequency of the applied e.m.f. is

STATEMENT-1: In a series LCR circuit at resonance, the voltage across the capacitor or inductor may be more than the applied voltage. STATEMENT-2: At resonance in a series LCR circuit, the voltages across inductor and capacitor are out of phase.

The figure shows variation of R,X_(L) and X_(C) with frequency f in a series L,C,R circuit. Then for what frequency point, the circuit is inductive ?

The ratio of voltage across inductor/condenser to the voltage across resistor in a series resonance circuit is

An alternating e.m.f. is applied to a series combination of L=2 H, C= 10 mu F and R=50 Omega . For a particular value of the angular frequency of the applied e.m.f., resonance is produced. Then the impedance z of the combination is

In an A.C. Circuit containing an inductance and a capacitance in series, the current is found to be maximum, when L=0.5H and C=8 muF . Then the angular frequency of the applied alternating e.m.f. will be

An alternating e.m.f. is applied to a series L-C-R circuit. If the frequency of the applied e.m.f. is more than the resonant frequency of the circuit then the circuit will act as

A 1 -k Omega resistor is connected in series with a 10-mH inductor, a 30 V battery and an open switch. At time t= 0 , the switch is suddenly closed. a. What is the maximum current in this circuit and when does it occur? b. What are the voltage drops across the inductor and across the resistor 20 mu s after the switch is closed? c. On a single set of axes, sketch the voltage across the resistor and the voltage across the inductor as functions of time. Also, sketch a graph of the current in the circuit as s function of time.

In a series RLC circuit the r.m.s. voltage across the resistor and the inductor are respectively 400 V and 700 V. If the equation for the applied Voltage is epsilon = 500 sqrt(2) sin omegat. then the peak voltage across the capacitor is

MARVEL PUBLICATION-ELECTROMAGNETIC INDUCTION AND ALTERNATING CURRENTS -TEST YOUR GRASP - 16
  1. If the P.D. across the inductor (3mH) is the same as that across the c...

    Text Solution

    |

  2. A coil having an area of 2m^(2) is placed in a magnetic field which ch...

    Text Solution

    |

  3. A straight conductor of length 2 is moves a velocity of 2 m//s, in a m...

    Text Solution

    |

  4. The magnetic flux passing perpendicular to the plane of a coil given b...

    Text Solution

    |

  5. Two identical circular loops of metal wire are lying on a table withou...

    Text Solution

    |

  6. A telegraph wire of length 2500m, is kept in E-W direction, at a heigh...

    Text Solution

    |

  7. When the current in a coil changes from 2A to 4A in 0.05 sec, the e.m....

    Text Solution

    |

  8. Two coil A and B are placed in a circuit. When current changes by 8 Am...

    Text Solution

    |

  9. Two coils P and S have a mutual inductance of 5 xx 10^(-3)H. If the cu...

    Text Solution

    |

  10. The primary and secondary voltage of an ideal step down transformer ar...

    Text Solution

    |

  11. A step down transformer has a turn ratio of 20 : 1. If 8 volt are deve...

    Text Solution

    |

  12. A step down transformer of efficiency 80% is used on a 1000V line to d...

    Text Solution

    |

  13. A coil 10 turns and area 10^(-2)m^(2) rotates in a magnetic field of 0...

    Text Solution

    |

  14. An alternating e.m.f. is given by E=10 cos omega t. If the frequency i...

    Text Solution

    |

  15. In an A.C. Circuit, the current is given by I=6 sin(200 pi t+(pi)/6)...

    Text Solution

    |

  16. An alternating e.m.f. given by e=200 sin 50 t is applied to a circuit ...

    Text Solution

    |

  17. An alternating voltage is represented by V=80 sin(100 pi t)cos(100 p...

    Text Solution

    |

  18. In an A.C. circuit, E=100 sin (500 t) volt and I=1000 sin(500 t +(pi)/...

    Text Solution

    |

  19. In an A.C. circuit, a resistance R=40 Omega and an inductance L are c...

    Text Solution

    |

  20. The inductance of a coil is 10 H. What is the ratio of its reactance w...

    Text Solution

    |

  21. For tuning radio and T.V. circuits, series resonance circuits are used...

    Text Solution

    |