Correct option is (c)
Statement I : True
Statement II : True
Current in purely resistive circuit is equal to current in LCR circuit with same resistance at resonance, otherwise more.
1.(JEE Main 2024 (Online) 6th April Morning Shift )
Given below are two statements :
Statement I : In an LCR series circuit, current is maximum at resonance.
Statement II : Current in a purely resistive circuit can never be less than that in a series LCR circuit when connected to same voltage source.
In the light of the above statements, choose the correct from the options given below :
A.Statement I is true but Statement II is false
B.Statement I is false but Statement II is true
C.Both Statement I and Statement II are true
D.Both Statement I and Statement II are false
Correct option is (c)
Statement I : True
Statement II : True
Current in purely resistive circuit is equal to current in LCR circuit with same resistance at resonance, otherwise more.
2.(JEE Main 2024 (Online) 5th April Evening Shift )
A series LCR circuit is subjected to an ac signal of . If the voltage across the inductor is , then the current in this circuit is _______.
A.10A
B.10mA
C.68A
D.63A
Correct option is (a)
3.(JEE Main 2024 (Online) 4th April Evening Shift )
Match List I with List II
LIST I | LIST II |
||
---|---|---|---|
A. | Purely capacitive circuit | I. | |
B. | Purely inductive circuit | II. | |
C. | LCR series at resonance | III. | |
D. | LCR series circuit | IV. |
Choose the correct answer from the options given below:
A.A-IV. B-I, C-III, D-II
B.A-I. B-IV, C-II, D-III
C.A-IV. B-I, C-II, D-III
D.A-I. B-IV, C-III, D-II
Correct option is (b)
For pure capacitive circuit, lead by to
For pure inductive circuit, lead by to
At series LCR resonance, and are in same phase.
For LCR series circuit, and I may suffer some phase difference.
4.(JEE Main 2024 (Online) 1st February Morning Shift )
increased by
A.In series LCR circuit, the capacitance is changed from to . To keep the resonance frequency unchanged, the new inductance should be:
B.reduced by
C.reduced by
D.increased to
Correct option is (c)
The resonance frequency of an LCR circuit is given by:
where:
To keep the resonance frequency unchanged when the capacitance is changed from to , we must adjust the inductance to a new value such that:
Now solving for :
Squaring both sides, we have:
Dividing both sides by , we get:
Thus, the new inductance is one fourth of the original inductance . Therefore, to achieve the same resonance frequency with the capacitance increased to , the inductance should be reduced to a quarter of its initial value:
This means we have reduced the inductance by , so the correct answer is:
Option C: reduced by
5.(JEE Main 2024 (Online) 27th January Evening Shift )
A series LCR circuit with and , is connected across an ac source of supply. The power factor of the circuit would be ________.
Correct answer is 1