Question:
A 1.0 mH inductance, a 10 $\mu F$ capacitance and a 5.0 ohm resistance are connected in series to an a.c. source. It is found that the inductor and the capacitor show equal reactances. The reactance should be nearest to
A 1.0 mH inductance, a 10 $\mu F$ capacitance and a 5.0 ohm resistance are connected in series to an a.c. source. It is found that the inductor and the capacitor show equal reactances. The reactance should be nearest to
Updated On: Jul 2, 2022
- 100 ohm
- 32 ohm
- 10 ohm
- 3.2 ohm
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
$\omega = (1/LC)^{1/2}$ and $X_L = \omega L .$
Was this answer helpful?
0
0
Top Questions on Electromagnetic induction
- A rectangular metallic loop is moving out of a uniform magnetic field region to a field-free region with a constant speed. When the loop is partially inside the magnetic field, the plot of the magnitude of the induced emf \( (\varepsilon) \) with time \( (t) \) is given by:
- JEE Main - 2025
- Physics
- Electromagnetic induction
- If \( B \) is magnetic field and \( \mu_0 \) is permeability of free space, then the dimensions of \( \frac{B}{\mu_0} \) is:
- JEE Main - 2025
- Physics
- Electromagnetic induction
- A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field \( B \) exists into the page. The bar starts to move from the vertex at time \( t = 0 \) with a constant velocity. If the induced EMF is \( E \propto t^n \), then the value of \( n \) is ________________________.
- JEE Main - 2025
- Physics
- Electromagnetic induction
- A coil of area \( A \) and \( N \) turns is rotating with angular velocity \( \omega \) in a uniform magnetic field \( B \) about an axis perpendicular to \( B \). Magnetic flux \( \phi \) and induced emf \( \varepsilon \) across it, at an instant when \( B \) is parallel to the plane of the coil, are:
- JEE Main - 2025
- Physics
- Electromagnetic induction
- Consider \( I_1 \) and \( I_2 \) are the currents flowing simultaneously in two nearby coils 1 and 2, respectively. If \( L_1 \) = self-inductance of coil 1, \( M_{12} \) = mutual inductance of coil 1 with respect to coil 2, then the value of induced emf in coil 1 will be:
- JEE Main - 2025
- Physics
- Electromagnetic induction
View More Questions
Concepts Used:
Electromagnetic Induction
Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-
- When we place the conductor in a changing magnetic field.
- When the conductor constantly moves in a stationary field.
Formula:
The electromagnetic induction is mathematically represented as:-
e=N × d∅.dt
Where
- e = induced voltage
- N = number of turns in the coil
- Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
- t = time
Applications of Electromagnetic Induction
- Electromagnetic induction in AC generator
- Electrical Transformers
- Magnetic Flow Meter