Home
Class 12
PHYSICS
A capacitor and resistor are connected w...

A capacitor and resistor are connected with an `AC` source as shown in figureure. Reactance of capacitor is `X_C=3Omega` and resistance of resistor is `4Omega`. Phase difference between current `I` and `I_1 is [tan^-1(3/4)=37^@]`
.

A

`90^@`

B

zero

C

`53^@`

D

`37^@`

Text Solution

Verified by Experts

The correct Answer is:
C

`I_2=V/X_C=V/3` (here V=rms value)
`I_1=V/R=V/4`
`I_2` is `90^@` ahead of applied voltage function and `I_1` is in phase with it.

`I_1=V/4`
`tanphi=(V//3)/(V//4)=4/3`
`:. phi=53^@`
Promotional Banner

Topper's Solved these Questions

  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level- 2More Than One Correct|8 Videos
  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level 2 Comprehension|6 Videos
  • ALTERNATING CURRENT

    DC PANDEY|Exercise Level - 1 Subjective|6 Videos
  • ATOMS

    DC PANDEY|Exercise MEDICAL ENTRANCES GALLERY|42 Videos

Similar Questions

Explore conceptually related problems

A resistor and a capacitor are connected in series with an a.c. source. If the potential drop across the capacitor is 5 V and that across resistor is 12 V, applied voltage is

Three resistances are connected to form a T-shape as shown in the figure. Then, the current in the 4Omega resistor is

A capacitor, a resistor and a 40 mH inductor are connected in series to an a.c. source of frequency 60 Hz. Calculate the capacitance of the capacitor,if current is in phase with the voltage.

A resistor, a capacitor and inductor are connected in series with a source of ac which of the following statement is true? The current in resistor lags behind the

A resistor is connected to a battery of emf 10 V and internal resistance 0.3 Omega . What is the resistance of the resistor to be inserted in the circuit for the circuit current 1.2A?

An inductor (L) and resistance (R) are connected in series with an AC source. The phase difference between voltage (V) and current (i) is 45^(@) . Now a capacitor (C) is connected in series with L-R, If the phase difference between V and i remain same, then capacitive reactance and impedance of L-C-R circuit will be-

A battery of e mf 10 V and internal resistance 3Omega is connected to a resistor as shown in the figure. If the current in the circuit is 0.5 A . then the resistance of the resistor will be

A 50 mu F capacitor, 0.05 H inductor and 48 Omega resistor are connected in series with an a.c. source of e.m.f. E = 310 sin 314 t . Calculate reactance of the circuit. What is its nature ? What is phase angle between current and applied e.m.f. ?

A capacitor of 100 muF , a resistor of 20 Omega and an inductor of inductance L are connected in series with an a.c. source of frequency 50 Hz. Calculate the value of inductance L of the inductor, if phase angle between current and voltage is zero.

Knowledge Check

  • Three resistances are connected to form a T-shape as shown in the figure. Then, the current in the 4Omega resistor is

    A
    `0.93A`
    B
    `4.5A`
    C
    `2.5A`
    D
    `1.57A`
  • A resistor, a capacitor and inductor are connected in series with a source of ac which of the following statement is true? The current in resistor lags behind the

    A
    current in capacitor
    B
    current in inductor
    C
    voltage across capacitor
    D
    voltage across inductor
  • An inductor (L) and resistance (R) are connected in series with an AC source. The phase difference between voltage (V) and current (i) is 45^(@) . Now a capacitor (C) is connected in series with L-R, If the phase difference between V and i remain same, then capacitive reactance and impedance of L-C-R circuit will be-

    A
    `R//Rsqrt(2)`
    B
    `2R,Rsqrt(2)`
    C
    `R,R`
    D
    `2R,Rsqrt(3)`
  • DC PANDEY-ALTERNATING CURRENT-Level- 2 Single Correct
    1. A capacitor and resistor are connected with an AC source as shown in f...

      Text Solution

      |

    2. A circuit contains resistance R and an inductance L in series. An alte...

      Text Solution

      |

    3. In the circuit shown in figure the AC source gives a voltage V=20cos(2...

      Text Solution

      |

    4. A signal generator supplies a sine wave of 200V, 5kHz to the circuit s...

      Text Solution

      |

    5. A complex current wave is given by i=95+5sin100omegat)A. Its given val...

      Text Solution

      |

    6. An Ac voltage V=V0 sin 100t is applied to the circuit, the phase diffe...

      Text Solution

      |

    7. In series L-C-R circuit, voltage drop across resistance is 8V, across ...

      Text Solution

      |

    8. Consider in L-C-R circuit as shown in figureure with an AC source of p...

      Text Solution

      |

    9. The adjoining figure shows an AC circuit with resistance R, inductance...

      Text Solution

      |

    10. When an alternating voltage of 220 V is applied across a device P, a c...

      Text Solution

      |

    11. In a parallel L-C-R circuit as shown in figureure if IR,IL,IC and I re...

      Text Solution

      |

    12. In a series L-C-R circuit, currenrt in the circuit is 11A when the app...

      Text Solution

      |

    13. In the circuit shown in figureure, the power consumed is .

      Text Solution

      |

    14. In a series L-C circuit, the applied voltage is V0. if omega is very l...

      Text Solution

      |

    15. A coil a capacitor and an AC source of rms voltage 24 V are connected ...

      Text Solution

      |

    16. In a series C-R circuit shown in figureure, the applied voltage is 10 ...

      Text Solution

      |

    17. An AC voltage source described by V=10cos(pi/2)t is connected to a 1mu...

      Text Solution

      |

    18. An AC voltage source V=V0siomegatis connected across resistance R and ...

      Text Solution

      |