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Alternating Current

JEE Main 2024 (Online) 9th April Evening ShiftNumericalEasy📈 Topic in 17% papers+4
Ques. 1JEE Main 2024, 9 April (Evening Shift)

A capacitor of reactance 4 3 and a resistor of resistance 4 are connected in series with an ac source of peak value 8 2 V. The power dissipation in the circuit is W.

Answer

4

Solution

Z = R2 + XC2 = 16 + 48 = 8

Vrms = 8 2 2 = 8 V, so Irms = 88 = 1 A

Since only the resistor dissipates power,

P = Irms2R = 12 4 = 4 W

Answer: 4

Keep practising — Alternating Current

Ques. 2JEE Main 2024, 8 April (Morning Shift)

A LCR circuit is at resonance for a capacitor C, inductance L and resistance R. Now the value of resistance is halved keeping all other parameters same. The current amplitude at resonance will be now:

  1. halved
  2. same
  3. Zero
  4. double
Ques. 3JEE Main 2024, 8 April (Evening Shift)

A coil of negligible resistance is connected in series with 90 resistor across 120 V, 60 Hz supply. A voltmeter reads 36 V across resistance. Inductance of the coil is :

  1. 0.91 H
  2. 0.76 H
  3. 2.86 H
  4. 0.286 H
Ques. 4JEE Main 2024, 8 April (Evening Shift)

An alternating emf E = 110 2 100t volt is applied to a capacitor of 2 , the rms value of current in the circuit is mA.

Ques. 5JEE Main 2024, 6 April (Morning Shift)

Given below are two statements : In the light of the above statements, choose the correct answer from the options given below :

  1. Statement I is true but Statement II is false
  2. Statement I is false but Statement II is true
  3. Both Statement I and Statement II are true
  4. Both Statement I and Statement II are false
Ques. 6JEE 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.

Ques. 7JEE 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. 8JEE 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. 9JEE 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. 10JEE 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. 11JEE 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.

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