In an LCR circuit,the capacitance is changed | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The resonant frequency $f_r$ of an $LCR$ circuit is given by the formula:$f_r = \frac{1}{2 \pi \sqrt{LC}}$For the resonant frequency to remain unc

Vedclass · Accepted Answer

$L/2$

Vedclass · Answer

(C) The resonant frequency $f_r$ of an $LCR$ circuit is given by the formula:$f_r = \frac{1}{2 \pi \sqrt{LC}}$For the resonant frequency to remain unchanged,the product $LC$ must remain constant:$L_1 C_1 = L_2 C_2$Given that $L_1 = L$,$C_1 = C$,and $C_2 = 2C$,we substitute these values into the equation:$L \cdot C = L_2 \cdot (2C)$Solving for $L_2$:$L_2 = \frac{LC}{2C} = \frac{L}{2}$Therefore,the inductance should be changed to $L/2$.

In an $LCR$ circuit,the capacitance is changed from $C$ to $2C$. For the resonant frequency to remain unchanged,the inductance should be changed from $L$ to:

Similar Questions

The use of anti-histamine,adrenaline,and steroids quickly reduces the symptoms of:

If $A$ is the areal velocity of a planet of mass $M$,its angular momentum is

$I$. Two non-zero,non-collinear vectors are linearly independent.
$II$. Any three coplanar vectors are linearly dependent.
Which of the above statements is/are true?

Which of the following halogens has the highest bond dissociation energy?

Photosynthetic bacteria have pigments in

Vedclass Test Series

Exam Paper Generator

Online Exam Module