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Alternating Current · Question 26

NEET 2016 (Phase 1)MCQEasy📈 Topic in 38% papers+4−1
1

A small signal voltage V(t) = V0 t is applied across an ideal capacitor C

  1. Current I(t) is in phase with voltage V(t).
  2. Current I(t) leads voltage V(t) by 180
  3. Current I(t) lags voltage V(t) by 90 .
  4. Over a full cycle the capacitor C does not consume any energy from the voltage source.

Answer

(4) Over a full cycle the capacitor C does not consume any energy from the voltage source.

Solution

For an ideal capacitor: I(t) = C dVdt = C V0 t = I0 ( t + 2 )

The current leads the voltage by 90 , so options (1), (2) and (3) are wrong.

Average power: P = Vrms Irms = Vrms Irms 90 = 0

Over a full cycle the capacitor does not consume any energy from the source (energy stored in one quarter cycle is returned in the next).

Answer: (4)

NEET 2016 (Phase 1)

Keep practising — Alternating Current

2

Which of the following combinations should be selected for better tuning of an L-C-R circuit used for communication?

  1. R = 20 , L = 1.5 H, C = 35
  2. R = 25 , L = 2.5 H, C = 45
  3. R = 15 , L = 3.5 H, C = 30
  4. R = 25 , L = 1.5 H, C = 45
NEET 2016 (Phase 2)
3

The potential differences across the resistance, capacitance and inductance are 80 V, 40 V and 100 V respectively in an L-C-R circuit. The power factor of this circuit is

  1. 0.4
  2. 0.5
  3. 0.8
  4. 1.0
NEET 2016 (Phase 2)
4

A series R-C circuit is connected to an alternating voltage source. Consider two situations : (a) When capacitor is air filled. (b) When capacitor is mica filled. Current through resistor is i and voltage across capacitor is V then

  1. ia > ib
  2. Va = Vb
  3. Va < Vb
  4. Va > Vb
AIPMT 2015
5

A resistance 'R' draws power 'P' when connected to an AC source. If an inductance is now placed in series with the resistance, such that the impedance of the circuit becomes 'Z', the power drawn will be

  1. P ( RZ )
  2. P
  3. P ( RZ )2
  4. P RZ
AIPMT 2015 (Cancelled)
6

A transformer having efficiency of 90% is working on 200 V and 3 kW power supply. If the current in the secondary coil is 6 A, the voltage across the secondary coil and the current in the primary coil respectively are

  1. 300 V, 15 A
  2. 450 V, 15 A
  3. 450 V, 13.5 A
  4. 600 V, 15 A
AIPMT 2014
7

A coil of self-inductance L is connected in series with a bulb B and an AC source. Brightness of the bulb decreases when

  1. a capacitance of reactance XC = XL is included in the same circuit.
  2. an iron rod is inserted in the coil.
  3. frequency of the AC source is decreased.
  4. number of turns in the coil is reduced.
NEET 2013
8

The primary of a transformer when connected to a dc battery of 10 Volt draws a current of 1 mA. The number of turns of the primary and secondary windings are 50 and 100 respectively. The voltage in the secondary and the current drawn by the circuit in the secondary are respectively

  1. 20 V and 2.0 mA
  2. 10 V and 0.5 mA
  3. Zero volt and therefore no current
  4. 20 V and 0.5 mA
NEET 2013 (Karnataka)
9

The instantaneous values of alternating current and voltage in a circuit are given as i = 1 2 (100 t) ampere e = 1 2 (100 t + 3 ) Volt The average power in watts consumed in the circuit is

  1. 14
  2. 34
  3. 12
  4. 18
AIPMT 2012 (Mains)
10

In an electrical circuit R, L, C and a.c. voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and the current in the circuit is 3. If instead, C is removed from the circuit, the phase difference is again 3. The power factor of the circuit is

  1. 12
  2. 1 2
  3. 1
  4. 32
AIPMT 2012 (Prelims)
11

The r.m.s. value of potential difference V shown in the figure is [figure]

  1. V0 3
  2. V0
  3. V0 2
  4. V02
AIPMT 2011 (Mains)

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