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Alternating Current

JEE Main 2024 (Online) 6th April Morning ShiftNumericalMedium📈 Topic in 17% papers+4
Ques. 1JEE Main 2024, 6 April (Morning Shift)

When a dc voltage of 100 V is applied to an inductor, a dc current of 5 A flows through it. When an ac voltage of 200 V peak value is connected to inductor, its inductive reactance is found to be 20 3 . The power dissipated in the circuit is W.

Answer

250

Solution

dc: XL = 0 R = 1005 = 20

ac: Z = R2 + XL2 = 400 + 1200 = 40

P = Irms2R = Vrms2Z2R, Vrms = 200 2

= 200001600 20 = 250 W

Answer: 250

Keep practising — Alternating Current

Ques. 2JEE Main 2024, 6 April (Evening Shift)

For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is 2.5 nF. If resistance of 200 and 100 mH inductor is being used in the given circuit. The frequency of ac source is 103 Hz (given 2 = 10)

Ques. 3JEE Main 2024, 5 April (Morning Shift)

An ac source is connected in given series LCR circuit. The rms potential difference across the capacitor of 20 is V. [figure]

Ques. 4JEE Main 2024, 5 April (Evening Shift)

A series LCR circuit is subjected to an ac signal of 200 V, 50 Hz. If the voltage across the inductor (L = 10 mH) is 31.4 V, then the current in this circuit is .

  1. 10 A
  2. 10 mA
  3. 68 A
  4. 63 A
Ques. 5JEE Main 2024, 4 April (Morning Shift)

In an ac circuit, the instantaneous current is zero, when the instantaneous voltage is maximum. In this case, the source may be connected to : Choose the correct answer from the options given below :

  1. A, B and C only
  2. A and B only
  3. A, B and D only
  4. B, C and D only
Ques. 6JEE Main 2024, 4 April (Morning Shift)

An alternating current at any instant is given by i= [6+ 56 (100 t+ /3) ] A. The rms value of the current is A.

Ques. 7JEE Main 2024, 4 April (Evening Shift)

Match List I with List II Choose the correct answer from the options given below:

  1. A-IV, B-I, C-III, D-II
  2. A-I, B-IV, C-II, D-III
  3. A-IV, B-I, C-II, D-III
  4. A-I, B-IV, C-III, D-II
Ques. 8JEE Main 2024, 1 February (Morning Shift)

In series LCR circuit, the capacitance is changed from C to 4C. To keep the resonance frequency unchanged, the new inductance should be:

  1. increased by 2 L
  2. reduced by 14 L
  3. reduced by 34 L
  4. increased to 4 L
Ques. 9JEE Main 2024, 1 February (Evening Shift)

A transformer has an efficiency of 80\% and works at 10 V and 4 kW. If the secondary voltage is 240 V, then the current in the secondary coil is :

  1. 1.33 A
  2. 13.33 A
  3. 1.59 A
  4. 15.1 A
Ques. 10JEE Main 2024, 31 January (Evening Shift)

An AC voltage V=20 200 t is applied to a series LCR circuit which drives a current I=10 (200 t+ 3 ). The average power dissipated is:

  1. 21.6 W
  2. 200 W
  3. 173.2 W
  4. 50 W
Ques. 11JEE Main 2024, 30 January (Morning Shift)

Primary coil of a transformer is connected to 220 V ac. Primary and secondary turns of the transformer are 100 and 10 respectively. Secondary coil of transformer is connected to two series resistances shown in figure. The output voltage (V0) is : [figure]

  1. 7 V
  2. 44 V
  3. 22 V
  4. 15 V

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