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Alternating Current

JEE Main 2024 (Online) 5th April Morning ShiftNumericalEasy📈 Topic in 16% papers+4
Ques. 1JEE 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]

Answer

50

Solution

= 100 rad/s, Vrms = 50 2 2 = 50 V

XL = L = 100 , XC = 1 C = 1100 20 10-6 = 500

Z = R2 + (XC - XL)2 = 3002 + 4002 = 500

Irms = 50500 = 0.1 A

VC = IrmsXC = 0.1 500 = 50 V

Answer: 50

Keep practising — Alternating Current

Ques. 2JEE 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. 3JEE 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. 4JEE 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. 5JEE 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. 6JEE 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. 7JEE 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. 8JEE 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. 9JEE 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
Ques. 10JEE Main 2024, 30 January (Morning Shift)

A series L.R circuit connected with an ac source E=(25 1000t) V has a power factor of 1 2. If the source of emf is changed to E=(20 2000t) V, the new power factor of the circuit will be :

  1. 1 3
  2. 1 2
  3. 1 5
  4. 1 7
Ques. 11JEE Main 2024, 30 January (Evening Shift)

An alternating voltage V(t)=220 100 t volt is applied to a purely resistive load of 50 . The time taken for the current to rise from half of the peak value to the peak value is:

  1. 7.2 ms
  2. 3.3 ms
  3. 5 ms
  4. 2.2 ms

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