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 JEE Main Physics Questions
- A thin half ring of radius $35 \text{ cm}$ is uniformly charged with a total charge of $Q$ coulomb. If the magnitude of the electric field at centre of the half ring is $100 \text{ V/m}$, then the value of $Q$ is ______ $\text{nC}$.
($\epsilon_o = 8.85 \times 10^{-12} \text{ C}^2/\text{Nm}^2$ and $\pi = 3.14$)- JEE Main - 2026
- Physics
- Electric Field
An object of uniform density rolls up the curved path with the initial velocity $v_o$ as shown in the figure. If the maximum height attained by an object is $\frac{7v_o^2}{10 g}$ ($g=$ acceleration due to gravity), the object is a _______
- JEE Main - 2026
- Physics
- Rotational Motion and Torque
A body of mass $m$ is taken from the surface of earth to a height equal to twice the radius of earth ($R_e$). The increase in potential energy will be ____ ($g$ is acceleration due to gravity at the surface of earth)
- JEE Main - 2026
- Physics
- Gravitation
- Eight mercury drops, each of radius $r$, coalesce to form a bigger drop. The surface energy released in this process is _____ ($S$ is the surface tension of mercury).
- JEE Main - 2026
- Physics
- Properties of Fluids
An ideal gas at pressure $P$ and temperature $T$ is expanding such that $PT^3 =$ constant. The coefficient of volume expansion of the gas is ____
- JEE Main - 2026
- Physics
- The Kinetic Theory of Gases
Top JEE Main Electromagnetic induction Questions
- A solenoid having length 30 cm. If there are 10 turns/cm and current through solenoid changes from 2A to 4A in 3.14 sec. Find emf induced. (Area is A)
- JEE Main - 2026
- Physics
- Electromagnetic induction
- If \( S_1 \) is closed and \( S_2 \) open, \( \theta \) is 30° and if \( S_1 \) is open and \( S_2 \) closed then \( \theta \) is 60°. Then find \( 3L_2 - L_1 \), if \( C = 100 \mu F \).
- JEE Main - 2026
- Physics
- Electromagnetic induction
- Side of square is \( L \) and \( R \ll L \).
Find mutual inductance of the system shown in the figure.
- 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
Top JEE Main Questions
- A thin half ring of radius $35 \text{ cm}$ is uniformly charged with a total charge of $Q$ coulomb. If the magnitude of the electric field at centre of the half ring is $100 \text{ V/m}$, then the value of $Q$ is ______ $\text{nC}$.
($\epsilon_o = 8.85 \times 10^{-12} \text{ C}^2/\text{Nm}^2$ and $\pi = 3.14$)- JEE Main - 2026
- Electric Field
Find the area of the region \[ R = \{(x, y) : xy \le 27,\; 1 \le y \le x^2 \}. \]
- JEE Main - 2026
- Integration and Area Calculation
- Solution A is prepared by dissolving 1 g of a protein (molar mass = 50000 g mol\(^{-1}\)) in 0.5 L of water at 300 K. Its osmotic pressure is \( x \) bar. Solution B is made by dissolving 2 g of the same protein in 1 L of water at 300 K. Osmotic pressure of solution B is \( y \) bar. Entire solution of A is mixed with entire solution of B at same temperature. The osmotic pressure of resultant solution is \( z \) bar. \( x \), \( y \), and \( z \) respectively are:
- JEE Main - 2026
- Raoult's Law and Colligative Properties
An object of uniform density rolls up the curved path with the initial velocity $v_o$ as shown in the figure. If the maximum height attained by an object is $\frac{7v_o^2}{10 g}$ ($g=$ acceleration due to gravity), the object is a _______
- JEE Main - 2026
- Rotational Motion and Torque
A body of mass $m$ is taken from the surface of earth to a height equal to twice the radius of earth ($R_e$). The increase in potential energy will be ____ ($g$ is acceleration due to gravity at the surface of earth)
- JEE Main - 2026
- Gravitation
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