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Mix Test - 5

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Weekly Quiz Competition
  • Question 1
    1 / -0
    An LCR series circuit with 100 resistance is connected to an AC source of 200 V and angular frequency of 300 rad/s. When only the capacitance is removed, the current leads the voltage by 60°. When only the inductance is removed, the current leads the voltage by 60°. The impedance of the LCR circuit is
  • Question 2
    1 / -0
    Directions: In the following question, Statement - 1 (Assertion) is followed by Statement - 2 (Reason). The question has four options, out of which only one is correct.

    Statement – 1: A coil is connected in series with a bulb and this combination is connected to an a.c. source. If an iron core is inserted in the coil, the brightness of the bulb will be reduced.
    Statement – 2: When an iron core is inserted in the coil, its inductance decreases.
  • Question 3
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    A boy has a coil of 3 mH. He wants to make a circuit whose resonant frequency is 106 cycles per second. What is the capacitance of the capacitor?
  • Question 4
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    A step-down transformer transforms a supply line voltage of 2200 V into 220 V. The primary coil has 5000 turns. If the efficiency and power transmitted by the transformer are 90% and 8 kW, respectively, then the power supplied is 
  • Question 5
    1 / -0
    A 100 V AC source of frequency 500 Hz is connected to an LCR circuit with L = 8.1 mH, C = 12.5 µF and R = 10 (all are connected in series as shown in the figure). What is the quality factor of the circuit?

  • Question 6
    1 / -0
    In a transformer, loss due to eddy currents is minimised by 
  • Question 7
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    A circuit has a self-inductance of 1 Henry and carries a current of 2 A. To prevent sparking, when the circuit is switched off, a capacitor which can withstand 400 V is used. The least capacitance of the capacitor connected across the switch must be equal to
  • Question 8
    1 / -0
    A capacitor of capacitance 2 F is charged to a potential difference of 12 V. The charging battery is then removed and the capacitor is connected across an inductor of self-inductance 0.6 mH. The current in the circuit, at a time when the potential difference across the capacitor is 6 V, is
  • Question 9
    1 / -0
    When an AC source of emf E = E0 sin (100t) is connected across a circuit, the phase difference between the emf E and the current I in the circuit is observed to be /4 as shown in the figure below. If the circuit consists possibly only of R-C or R-L or L-C in series, then what will be the values of the two elements of the circuit?

  • Question 10
    1 / -0
    In an oscillating LC circuit, the maximum charge on the capacitor is Q. The charge on the capacitor, when energy is stored equally between the electric and magnetic fields, is
  • Question 11
    1 / -0
    An LCR series circuit with 100 resistance is connected to an AC source of 200 V and angular frequency 300 rad/s. When only the capacitance is removed, the current leads the voltage by 60°. When only the inductance is removed, the current leads the voltage by 60°. The current in the circuit is
  • Question 12
    1 / -0
    A coil of inductance 300 mH and resistance 2 is connected to a source of voltage 2 V. The current reaches half of its steady state value in
  • Question 13
    1 / -0
    What is the capacitance of a capacitor whose reactance for AC frequency of 400 Hz is 25?
  • Question 14
    1 / -0
    If 8  resistance and 6  reactance are present in an AC series circuit, what will be the impedance of the circuit?
  • Question 15
    1 / -0
    A coil has an inductance of  henry and is connected in series with a resistance of 30 ohms. What is the current flowing in the circuit when connected to AC mains of 200 V and frequency 50 cycles per second?
  • Question 16
    1 / -0
    An AC source of variable frequency f is connected to an LCR series circuit. Which of the following graphs represents the variation of current in the circuit with frequency?
  • Question 17
    1 / -0
    If a resistance of 100 , an inductance of 0.5 H and a capacitance of 10 × 10−6 F are connected in series with a 50 Hz AC supply, then what will be the impedance?
  • Question 18
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    An ideal transformer is supplied with a primary input power of 10 kilowatt. When the transformer is on load, the secondary current is 24 A. What is the potential difference applied to the primary if the primary to secondary turns ratio is 4 : 1?
  • Question 19
    1 / -0
    An LCR circuit consists of an inductor, a capacitor and a resistor driven by a battery and connected by two switches S1 and S2 as shown in the figure.



    At time t = 0, when the charge on the capacitor plates is q, switch S1 is opened and S2 is closed. The maximum charge the capacitor can hold is q0. Which of the following is correct?
  • Question 20
    1 / -0
    Two resistances of 10 and 20 and an ideal inductor of inductance 5 H are connected to a battery of 2 V through a key K as shown in the figure. If at t = 0, K is inserted, then the initial potential drop across the inductor is

  • Question 21
    1 / -0
    A capacitor of capacitance 2 F is charged to 50 V. The charging battery is then disconnected and a coil of inductance 5 mH is connected across it. Assuming that the coil has negligible resistance, the peak value of the current in the circuit will be
  • Question 22
    1 / -0
    A coil having an inductance of 0.5 H carries a current which is uniformly varying from 0 to 10 A in 2 s. The emf (in volts) generated in the coil is
  • Question 23
    1 / -0
    A coil takes a current of 2 A and 200 W power from an alternating current source of 220 V, 50 Hz. What is the inductance of the coil?
  • Question 24
    1 / -0
    In an AC circuit, the current lags behind the voltage by π/3. The component(s) of the circuit is/are
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