TS EAMCET · Physics · Alternating Current
The \(L-C-R\) circuit shown below is driven by an ideal AC voltage source.
At frequency \(f=\frac{1}{2 \pi \sqrt{L C}}\), choose the correct statement.
- A The current through \(R\) is zero.
- B The current through \(R\) is infinite.
- C The current through \(R\) depends on the value of \(L\) and \(C\).
- D The current through \(R\) depends only on the value of \(R\) and not \(L\) and \(C\).
Answer & Solution
Correct Answer
(D) The current through \(R\) depends only on the value of \(R\) and not \(L\) and \(C\).
Step-by-step Solution
Detailed explanation
The AC circuit is shown in the following figure, Frequency of AC source is given as \(f=\frac{1}{2 \pi \sqrt{L C}}\) Clearly, it is resonant frequency. Hence, \(X_L=X_C\) In this case, voltages developed across \(L\) and \(C\) are equal in magnitude but opposite in pollaries.…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A coil of resistance \(16 \Omega\) is placed with its plane perpendicular to a uniform magnetic field whose flux ( \(\phi\) in \(10^{-3}\) weber) changes with time ( t in second) as \(\phi=5 \mathrm{t}^2+4 \mathrm{t}+2\). The induced current at time \(t=6\) seconds isTS EAMCET 2025 Medium
- The heat energy required convert \(10 \mathrm{~kg}\) of ice at \(-10^{\circ} \mathrm{C}\) into water at \(0^{\circ} \mathrm{C}\) is (specific heat capacity of ice \(=0.5 \mathrm{cal}\) \(\mathrm{g}^{-1}\) and latent heat of fusion of ice \(=80 \mathrm{cal} \mathrm{g}^{-1}\) )TS EAMCET 2023 Medium
- The potential energy of an object is , where is the position in meter. The position at which the force becomes zero isTS EAMCET 2022 Easy
- A particle of mass and charge is thrown perpendicular to an electric field of intensity with an initial velocity The particle moves a distance perpendicular to the field and a distance along the direction of the field. If then the is given byTS EAMCET 2021 Hard
- Figure below shows three circuits consisting of concentric circular arcs and straight radial lines. The center of the circle is shown by the dot. Same current flows through each of the circuits. If are the magnitudes of the magnetic field at the center. Which of the following is true?
TS EAMCET 2020 Medium - A certain vector in the \(x y\)-plane has an \(x\)-component of \(4 \mathrm{~m}\) and a \(y\)-component of \(10 \mathrm{~m}\). It is then rotated in the \(x y\)-plane so that its \(x\)-component is doubled. Then its new \(y\)-component is (approximately)TS EAMCET 2011 Easy
More PYQs from TS EAMCET
- What is the mass number of nucleus having radius equal to \(\frac{1}{3}\) of that of \({ }^{189}\) Os?TS EAMCET 2022 Easy
- If the total energy of an electron in an orbit is positive, thenTS EAMCET 2025 Easy
- A particle of mass \(m\) and charge \(Q\) moving with a speed \(v\) in a circular path of radius \(R\) has magnetic moment \(\mu\). If the mass of the particle is doubled and maintains the same speed while revolving in the same circular path, then the magnetic moment will beTS EAMCET 2020 Easy
- A circular plate of radius \(r\) is removed from a uniform circular plate \(P\) of radius \(4 r\) to form a hole. If the distance between the centre of the hole formed and the centre of the plate \(P\) is \(2 r\), then the distance of the centre of mass of the remaining portion from the centre of the plate \(P\) isTS EAMCET 2024 Medium
- In the Young's double slit experiment, the resultant intensity at a point on the screen is \(75 \%\) of the maximum intensity of the bright fringe. Then the phase difference between the two interfering rays at that point isTS EAMCET 2011 Easy
- A printed page is kept pressed by a transparent cube of edge \(t\). The refractive index of the cube varies as \(\mu(z)=1+\frac{z}{t}\), where \(z\) is the vertical distance from bottom of the cube. If viewed from top, then the printed letters appear to be shifted by an amountTS EAMCET 2018 Medium