COMEDK · Physics · 23. Alternating Current
In a series LCR circuit, the inductive reactance \(\mathrm{X}_{\mathrm{L}}\) is \(24 \Omega\) and the capacitive reactance \(\mathrm{X}_{\mathrm{C}}\) is \(12 \Omega\). The resistance R in the circuit is \(9 \Omega\). What is the power factor of the circuit?
- A \(60^{\circ}\)
- B \(37^{\circ}\)
- C \(45^{\circ}\)
- D \(53^{\circ}\)
Answer & Solution
Correct Answer
(D) \(53^{\circ}\)
Step-by-step Solution
Detailed explanation
The power factor of a series LCR circuit is defined as \(\cos \phi = \dfrac{R}{Z}\), where \(Z\) is the impedance of the circuit. The impedance \(Z\) is given by \(Z = \sqrt{R^2 + (X_L - X_C)^2}\). Given \(R = 9 \Omega\), \(X_L = 24 \Omega\), and \(X_C = 12 \Omega\), we…
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 body is executing SHM. When its displacements from the mean position are \(4 \mathrm{~cm}\) and \(5 \mathrm{~cm}\) it has velocity \(10 \mathrm{~cms}^{-1}\) and \(8 \mathrm{~cms}^{-1}\) respectively. Its periodic time \(\mathrm{t}\) isCOMEDK 2024 Medium
- The separation between C and O atoms in CO is 0.12 nm . The distance of C atom from the centre of mass isCOMEDK 2025 Medium
- - Solar spectrum is an example forCOMEDK 2018 Easy
- A man grows into a giant such that his height increases to 8 times his original height. Assuming that his density remains same, the stress in the leg will change by a factor ofCOMEDK 2023 Medium
- A body is projected vertically upwards. The times corresponding to height \(h\), while ascending and descending are \(t_{1}\) and \(t_{2}\), respectively. Then, the velocity of projection is ( \(g\) is acceleration due to gravity)COMEDK 2018 Easy
- A circular coil of radius 7 cm and 40 turns is rotated about its vertical diameter with an angular speed of 40 radians per second in a uniform horizontal magnetic field of \(4 \times 10^{-2}\ T\). What is the maximum current induced in the coil if the resistance of the coil is \(11\ \Omega\)?COMEDK 2026 Medium
More PYQs from COMEDK
- \(\mathrm{a}=2 \hat{\mathrm{i}}+\hat{\mathrm{j}}-\hat{\mathrm{k}}, \mathrm{b}=\hat{\mathrm{i}}-\hat{\mathrm{j}}\) and \(\mathrm{c}=5 \hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}\), then unit vector parallel to \(\mathrm{a}+\mathrm{b}-\mathrm{c}\) but in opposite direction isCOMEDK 2023 Easy
- \(\lim _{x \rightarrow 1} \dfrac{(\sqrt{x}-1)(2 x-3)}{2 x^2+x-3}\) isCOMEDK 2025 Medium
- The compounds \(A\) and \(B\) are mixed in equimolar proportion to form the products, \(A+B \rightleftharpoons C+D\). At equilibrium, one-third of \(A\) and \(B\) are consume(d) The equilibrium constant for the reaction isCOMEDK 2016 Hard
- A network of capacitors is as shown below. If the voltage supply is 100 V , find the energy stored in the \(6 \mu \mathrm{~F}\) capacitor.
\(C_1=3 \mu F, C_2=6 \mu F, C_3=3 \mu F\) and \(C_4=4 \mu F\)COMEDK 2025 Medium - A square shaped aluminium coin weighs \(0.75 \mathrm{~g}\) and its diagonal measures \(14 \mathrm{~mm}\). It has equal amounts of positive and negative charges. Suppose those equal charges were concentrated in two charges \((+Q\) and \(-Q)\) that are separated by a distance equal to the side of the coin, the dipole moment of the dipole isCOMEDK 2024 Medium
- Amino acids exist as zwitter ions atCOMEDK 2014 Easy