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In a series resonant L_C_R circuit, if L is increased by 25% and C is decreased by 20%, then the resonant frequency will
  • a)
    Increase by 10%
  • b)
    Decrease by 10%
  • c)
    Remain unchanged
  • d)
    Increase by 2.5%
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a series resonant L_C_R circuit, if L is increased by 25% and C is ...
v0=1/2π√(LC)
⇒In this question,
L’=L+25% of L
=L+(L/4)=5L/4
And C’=C-20% of C
=C-(C/5)=4C/5
Hence, v0=1/2π√(L’C’)
=1/2π√[(5L/4) x (4C/5)]
=1/2π√(LC)=v0
The answer is option C, remains unchanged.
 
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In a series resonant L_C_R circuit, if L is increased by 25% and C is ...
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Community Answer
In a series resonant L_C_R circuit, if L is increased by 25% and C is ...
XL1=XC1. ~ resonant frequency 1
X(L1+0.25L1)=X(C1-0.2C1) . ~ resonant frequency 2
f1=1/2π√(L1C1)
f2=1/2π√(1.25L1×0.8C1)=1/2π√((1)L1C1)
therefore, f1=f2
remain unchanged
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In a series resonant L_C_R circuit, if L is increased by 25% and C is decreased by 20%, then the resonant frequency willa)Increase by 10%b)Decrease by 10%c)Remain unchangedd)Increase by 2.5%Correct answer is option 'C'. Can you explain this answer?
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In a series resonant L_C_R circuit, if L is increased by 25% and C is decreased by 20%, then the resonant frequency willa)Increase by 10%b)Decrease by 10%c)Remain unchangedd)Increase by 2.5%Correct answer is option 'C'. Can you explain this answer? for Class 12 2024 is part of Class 12 preparation. The Question and answers have been prepared according to the Class 12 exam syllabus. Information about In a series resonant L_C_R circuit, if L is increased by 25% and C is decreased by 20%, then the resonant frequency willa)Increase by 10%b)Decrease by 10%c)Remain unchangedd)Increase by 2.5%Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 12 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a series resonant L_C_R circuit, if L is increased by 25% and C is decreased by 20%, then the resonant frequency willa)Increase by 10%b)Decrease by 10%c)Remain unchangedd)Increase by 2.5%Correct answer is option 'C'. Can you explain this answer?.
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