JEE Mains · Physics · STD 12 -7. Alternating current
An inductance coil has a reactance of \(100\, \Omega\). When an \(AC\) signal of frequency \(1000\, Hz\) is applied to the coil, the applied voltage leads the current by \(45^{\circ}\). The self- inductance of the coil is
- A \(1.1 \times 10^{-2}\; H\)
- B \(1.1 \times 10^{-1} \;H\)
- C \(5.5 \times 10^{-5} \;H\)
- D \(6.7 \times 10^{-7}\; H\)
Answer & Solution
Correct Answer
(A) \(1.1 \times 10^{-2}\; H\)
Step-by-step Solution
Detailed explanation
Reactance of inductance coil \(=\sqrt{{ R ^{2}+ x _{ L }^{2}}}=100\) \(...(i)\) \(f =1000 Hz\) of applied \(AC\) signal Voltage leads current bly \(45^{\circ}\) \(\tan 45^{\circ}=\frac{ i X _{ L }}{ iR }=\frac{\omega L }{ R }\) ie \(R = X _{ L }=\omega L\) Putting in eqn…
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
- As show in the figure, in steady state, the charge stored in the capacitor is....... \(\times 10^{-6}\,C\).
JEE Mains 2022 Hard - A small speaker delivers \(2\, W\) of audio output. At what distance from the speaker will one detect \(120\, dB\) intensity sound ... \(cm\) ? [Given reference intensity of sound as \(10^{-12}\,W/m^2\)]JEE Mains 2019 Easy
- A mercury drop of radius \(10^{-3}\,m\) is broken into \(125\) equal size droplets. Surface tension of mercury is \(0.45\,Nm ^{-1}\). The gain in surface energy is \(......\times 10^{-5}\,J\)JEE Mains 2023 Medium
- A radioactive nucleus \(A\) with a half life \(T\), decays into a nucleus \(B.\) At \(t = 0\), there is no nucleus \(B\). At sometime \(t\), the ratio of the number of \(B\) to that of \(A\) is \(0.3\). Then, \(t\) is given byJEE Mains 2017 Hard
- For a uniform rectangular sheet shown in the figure, the ratio of moments of inertia about the axes perpendicular to the sheet and passing through \(O\) (the centre of mass) and \(O ^{\prime}(\) corner point \()\) is
JEE Mains 2020 Hard -
Space between the plates of a parallel plate capacitor of plate area \(4 \mathrm{~cm}^2\) and separation of (d) 1.77 mm, is filled with uniform dielectric materials with dielectric constants (3 and 5) as shown in figure. Another capacitor of capacitance 7.5 pF is connected in parallel with it. The effective capacitance of this combination is ________ pF. \(\left(\right.\) Given \(\left.\varepsilon_0=8.85 \times 10^{-12} \mathrm{~F} / \mathrm{m}\right)\)JEE Mains 2025 Hard
More PYQs from JEE Mains
- A system consists of two types of gas molecules \(A\) and \(B\) having same number density \(2 \times\) \(10^{25}\, / {m}^{3}\). The diameter of \({A}\) and \({B}\) are \(10\, \stackrel{\circ}{{A}}\) and \(5\, \stackrel{\circ}{{A}}\) respectively. They suffer collision at room temperature. The ratio of average distance covererd by the molecule \(A\) to that of \(B\) between two successive collision is \(.....\,\times 10^{-2}\)JEE Mains 2021 Medium
- The plane containing the line \(\frac{{x - 1}}{1} = \frac{{y - 2}}{2} = \frac{{z - 3}}{3}\) and parallel to the line \(\frac{x}{1} = \frac{y}{1} = \frac{z}{4}\) passes through the pointJEE Mains 2014 Hard
- Consider an arithmetic series and a geometric series having four initial terms from the set \(\{11,8,21,16,26,32,4\}\) If the last terms of these series are the maximum possible four digit numbers, then the number of common terms in these two series is equal to .......JEE Mains 2021 Medium
- For any \(\theta \, \in \,\left( {\frac{\pi }{4},\frac{\pi }{2}} \right)\), the expression \(3\,{\left( {\sin \,\theta - \cos \,\theta } \right)^4} + 6{\left( {\sin \,\theta + \cos \,\theta } \right)^2} + 4\,{\sin ^6}\,\theta \) equalsJEE Mains 2019 Hard
- When a part of a straight capillary tube is placed vertically in a liquid, the liquid raises upto certain height h. If the inner radius of the capillary tube, density of the liquid and surface tension of the liquid decrease by 1% each, then the height of the liquid in the tube will change by __________ %.JEE Mains 2026 Easy
- Two dice are thrown independently. Let \(A\) be the event that the number appeared on the \(1^{\text {st }}\) die is less than the number appeared on the \(2^{\text {nd }}\) die, \(B\) be the event that the number appeared on the \(1^{\text {st }}\) die is even and that on the second die is odd, and \(C\) be the event that the number appeared on the \(1^{\text {st }}\) die is odd and that on the \(2^{\text {nd }}\) is even. ThenJEE Mains 2023 Hard