Home
Class 12
PHYSICS
In a black box of unknown elements (L or...

In a black box of unknown elements (L or R or any other combination), an ac voltage `E=E_(0) sin (omegat)+phi)` is applied and current in the circuit was found to be `I=(I_0) sin [ omega t + phi + (pi//4)]`. Then the unknown elements in the box may be

A

only capacitor

B

inductor and resistor both

C

either capacitor, resistor, and inductor or only capacitor and resistor

D

only resistor

Text Solution

Verified by Experts

The correct Answer is:
C
Since current is leading emf, capacitor must be present in the circuit. Along with capacitor, there can be either (i) only resistor or (ii) resistor and inductor if `(X_C) gt(X_L)`.
In both of the above conditions, we can obtain a phase differnece of `(pi//4)` with current leading emf.
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Exercises Multiple Correct|5 Videos

  • ALTERNATING CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Exercises Assertion-reasoning|7 Videos

  • ALTERNATING CURRENT

    CENGAGE PHYSICS ENGLISH|Exercise Exercises Subjective|15 Videos

  • ATOMIC PHYSICS

    CENGAGE PHYSICS ENGLISH|Exercise ddp.4.3|15 Videos

Similar Questions

Explore conceptually related problems

In a box Z of unknown elements, L or R or any other combintion, an ac vottage E = E_(0)sin (omegat + phi) is applied and current in the circuit was found to be l = l_(0) sin (omegat + phi + (pi)/(4)). The unknown element in the box may be

When a voltage V_(s)=200 sqrt(2) sin (100 t) V is applied to an ac circuit the current in the circuit is found to be i=2 sin [omega t + (pi//4)]A . Find the average power consumed in the circuit.

When a voltage V_(s)=200 sqrt(2) sin (100 t) V is applied to an ac circuit the current in the circuit is found to be i=2 sin [omega t + (pi//4)]A . Find the average power consumed in the circuit.

The equation of an alternating voltage is E = 220 sin (omega t + pi // 6) and the equation of the current in the circuit is I = 10 sin (omega t - pi // 6) . Then the impedance of the circuit is

An alternating voltage E=E_0 sin omega t , is applied across a coil of inductor L. The current flowing through the circuit at any instant is

Current in an ac circuit is given by I= 3 sin omega t + 4 cos omega t, then

The emf and current in a circuit are such that E = E_(0) sin omega t and I = I_(0) sin (omega t - theta) . This AC circuit contains

An Ac voltage V=V_0 sin 100t is applied to the circuit, the phase difference between current and voltage is found to be pi/4 , then .

An Ac voltage V=V_0 sin 100t is applied to the circuit, the phase difference between current and voltage is found to be pi/4 , then .

Current in an ac circuit is given by i=2 sqrt(2) sin [(pi t+((pi)//4)] . Then find the average value of current during time t=0 to t=1 s.

CENGAGE PHYSICS ENGLISH-ALTERNATING CURRENT-Exercises Single Correct
  1. Determine the rms value of a semi-circular current wave which has a ma...

    Text Solution

    |

  2. An alternating voltage E = 200sqrt 2sin(100t) is connected to a muF ca...

    Text Solution

    |

  3. Which voltmeter will give zero reading at resonance?

    Text Solution

    |

  4. A 50 W, 100V lamp is to be connected to an ac mains of 200V, 50 Hz. Wh...

    Text Solution

    |

  5. A capacitor of 10 (mu)F and an inductor of 1 H are joined in series. A...

    Text Solution

    |

  6. If i(1)=3 sin omega t and (i2) = 4 cos omega t, then (i3) is

    Text Solution

    |

  7. When an AC source of emf E=E(0)sin(100t) is connected across a circuit...

    Text Solution

    |

  8. In an ac circuit the potential differences across an inductance and re...

    Text Solution

    |

  9. Current in an ac circuit is given by I= 3 sin omega t + 4 cos omega t,...

    Text Solution

    |

  10. A current source sends a current I=(i0) cos (omegat), When connected a...

    Text Solution

    |

  11. In the circuit shown in fig. X(C ) = 100 Omega,(XL)=200 Omega and R=10...

    Text Solution

    |

  12. For an LCR series circuit with an aac source of angular frequency omeg...

    Text Solution

    |

  13. The value of current in two series LCR circuits at resonance is same, ...

    Text Solution

    |

  14. In series L-C-R circuit voltage drop across resistance is 8 V and acro...

    Text Solution

    |

  15. In a black box of unknown elements (L or R or any other combination), ...

    Text Solution

    |

  16. The voltage time (V-t) graoh for triangular wave having peak value (V0...

    Text Solution

    |

  17. The average value of voltage (V) in one time period will be

    Text Solution

    |

  18. What reading would you expact of a square-wave current, suitching rapo...

    Text Solution

    |

  19. The power factor of the circuit is (1)/(sqrt2)). The capacitance of th...

    Text Solution

    |

  20. In an ideal transformer, the voltagae and the current in the primary c...

    Text Solution

    |