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ALTERNATING CURRENT QUIZ-3

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JEE Advanced Physics Syllabus can be referred by the IIT aspirants to get a detailed list of all topics that are important in cracking the entrance examination. JEE Advanced syllabus for Physics has been designed in such a way that it offers very practical and application-based learning to further make it easier for students to understand every concept or topic by correlating it with day-to-day experiences. In comparison to the other two subjects, the syllabus of JEE Advanced for physics is developed in such a way so as to test the deep understanding and application of concepts.

Q1. Two alternating voltage generators produce emfs of the same amplitude E0 but with a phase difference of π/3. The resultant emf is?
  •  E0 sin⁡[ωt+(π/3)]
  •  E0 sin⁡[ωt+(π/6)]
  •  √3 E0 sin⁡[ωt+(π/6)]
  •  √3 E0 sin⁡[ωt+(π/2)]
Solution


Q2. Two alternating voltage generators produce emfs of the same amplitude E0 but with a phase difference of π/3. The resultant emf is
  •  0.1 A
  •  0.3 A
  •  0.6 A
  •  0.2 A
Solution


Q3. A parallel plate capacitor C with plates of unit area and separation d is filled with a liquid of dielectric constant K = 2. The level of liquid is d/3 initially. Suppose the liquid level decreases at a constant speed v, the time constant as a function of time t is.
  •  
  •  
  •  
  •  
Solution

Q4. For an LCR series circuit with an ac source of angular frequency ω,
  •  Circuit will be capacitor if ω>1/√LC
  •  Circuit will be inductive if ω=1/√LC
  •  Power factor of circuit will be unity if capacitive reactance equals inductive reactance
  •  Current will be leading voltage if ω>1/√LC
Solution


Q5. A dc ammeter and a hot wire ammeter are connected to a circuit in series. When a direct current is passed through circuit, the dc ammeter shows 6 A. When ac current flows through circuit, the ac ammeter shows 8 A. What will be reading of each ammeter, if dc and ac currents flow simultaneously through the circuit?
  •  dc=6 A,ac=10 A
  •  dc=3 A,ac=5 A
  •  dc=5 A,ac=8 A
  •  dc=2 A,ac=3 A
Solution


Q6. When 100 V dc is applied across a solenoid, a current of 1.0 A flows in it. When 100 V ac is applied across the same coil, the current drops to 0.5 A. If the frequency of the ac source is 50 Hz, the impedance and inductance of the solenoid are
  •  200 Ω and 0.55 H
  •  100 Ω and 0.86 H
  •  200 Ω and 1.0 H
  •  100 Ω and 0.93 H
Solution
Q7. When an ac source of emf e=E0sin⁡(100 t) is connected across a circuit, the phase difference between emf e and current i in the circuit is observed to be π/4 as shown in Fig. If the circuit consists possibly only of R-C or R-C or L-R series, find the relationship between the two elements
  •  R=1 kΩ,C=10 μF
  •  R=1 kΩ,C=1 μF
  •  R=1 kΩ,L=10 H
  •  R=1 kΩ,L=1 H
Solution


Q8. In an ac circuit the potential differences across an inductance and resistance joined in series are respectively 16 V and 20 V. The total potential difference across the circuit is
  •  20 V
  •  25.6 V
  •  31.9 V
  •  53.5 V
Solution


Q9. A resistor and an inductor are connected to an ac supply of 120 V and 50 Hz. The current in the circuit is 3A. If the power consumed in the circuit is 108 W, then the resistance in the circuit is
  •  12 Ω
  •  40 Ω
  •  √(52×28) Ω
  •  360 Ω
Solution


Q10. The voltage time (V-t) graph for triangular wave having peak value V0 is as shown in Fig. The rms value of V in time interval from t=0 to T/4 is?

  •  V0/√3
  •  V0/2
  •  V0/√2
  • None of these
Solution


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