In the given circuit, the magnitude of VL and VC are twice that of VR. Given that f = 50 Hz, the inductance of the coil is \(\frac{1}{(K\pi)} \text{mH}\). The value of K is ________.
Solution and Explanation
VL = 2VR
So ωLi = 2 Ri
⇒L=\(\frac{2R}{ω}\)=\(\frac{2×5}{2π×50}\)=\(\frac{1}{10π}H\)
⇒\(\frac{100}{π}H\)
So
K=\(\frac{1}{100}\)≃0
So, value of K is 0
Top Questions on Electromagnetic induction
- Figure shows the circuit that contains three resistances (\(9\,\Omega\) each) and two inductors (\(4\,\text{mH}\) each). The reading of ammeter at the moment switch \(K\) is turned ON, is _________ A.
- JEE Main - 2026
- Physics
- Electromagnetic induction
- If \(\varepsilon_0\), \(E\) and \(t\) represent the free space permittivity, electric field and time respectively, then the unit of \[ \frac{\varepsilon_0 E}{t} \] will be
- JEE Main - 2026
- Physics
- Electromagnetic induction
- A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane of loop. The loop is converted into a square loop in 0.5 s. The EMF induced in the loop is ___ mV.
- JEE Main - 2026
- Physics
- Electromagnetic induction
- A spherical body of radius $r$ and density $\sigma$ falls freely through a viscous liquid having density $\rho$ and viscosity $\eta$ and attains a terminal velocity $v_0$. Estimated maximum error in the quantity $\eta$ is : (Ignore errors associated with $\sigma$, $\rho$ and $g$, gravitational acceleration)
- JEE Main - 2026
- Physics
- Electromagnetic induction
- A rod of mass $m$ and length $l$ falls from rest in a region of uniform horizontal magnetic field $B$. Find the emf induced in the rod after falling through a distance $x$:
- JEE Main - 2026
- Physics
- Electromagnetic induction
Questions Asked in JEE Main exam
- For two identical cells each having emf \(E\) and internal resistance \(r\), the current through an external resistor of \(6\,\Omega\) is the same when the cells are connected in series as well as in parallel. The value of the internal resistance \(r\) is ________ \(\Omega\).
- JEE Main - 2026
- Current electricity
- For three unit vectors \( \vec a, \vec b, \vec c \) satisfying \[ |\vec a-\vec b|^2 + |\vec b-\vec c|^2 + |\vec c-\vec a|^2 = 9 \] and \[ |2\vec a + k\vec b + k\vec c| = 3, \] the positive value of \( k \) is:
- JEE Main - 2026
- Vector Algebra
In the given figure, the blocks $A$, $B$ and $C$ weigh $4\,\text{kg}$, $6\,\text{kg}$ and $8\,\text{kg}$ respectively. The coefficient of sliding friction between any two surfaces is $0.5$. The force $\vec{F}$ required to slide the block $C$ with constant speed is ___ N.
(Given: $g = 10\,\text{m s}^{-2}$)
- JEE Main - 2026
- Rotational Mechanics
- The system of linear equations
$x + y + z = 6$
$2x + 5y + az = 36$
$x + 2y + 3z = b$
has- JEE Main - 2026
- Matrices and Determinants
Method used for separation of mixture of products (B and C) obtained in the following reaction is:
- JEE Main - 2026
- p -Block Elements
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