Question:
The self-inductance of a circuit is numerically equal to
The self-inductance of a circuit is numerically equal to
Show Hint
Remember: \(U = \frac{1}{2}LI^2\) â gives relation between L and energy.
Updated On: Apr 26, 2026
- the work done in establishing the magnetic flux associated with circuit.
- twice the work done in establishing the magnetic flux associated with unit current in the circuit.
- thrice the work done in establishing the magnetic flux associated with unit current in the circuit.
- the work done in establishing the magnetic flux associated with unit current in the circuit.
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
Energy stored in inductor: \[ U = \frac{1}{2}LI^2 \] Step 1: For unit current. \[ I = 1 \Rightarrow U = \frac{1}{2}L \]
Step 2: Relate L and work. \[ L = 2U \]
Step 3: Conclusion. Self-inductance is twice the work done in establishing unit current.
Energy stored in inductor: \[ U = \frac{1}{2}LI^2 \] Step 1: For unit current. \[ I = 1 \Rightarrow U = \frac{1}{2}L \]
Step 2: Relate L and work. \[ L = 2U \]
Step 3: Conclusion. Self-inductance is twice the work done in establishing unit current.
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Waves and Oscillations Questions
- For a particle performing linear S.H.M., its average speed over one oscillation is (a = amplitude of S.H.M., n = frequency of oscillation)
- The displacement of a particle performing simple harmonic motion is given by, x=8sin$\omega t+6cos \omega t$, where distance is in cm and time is in second. The amplitude of motion is
- The minimum phase difference between two simple harmonic oscillations, $ \, \, \, \, \, \, \, \, y_1 =\frac{1}{2}sin \omega t +\frac{\sqrt 3}{2} cos \omega t$ $ \, \, \, \, \, \, \, \, \, \, \, y_2 =sin \omega t +cos \omega t$ is
- For a particle in $ SHM $ , if the amplitude of the displacement is a and the amplitude of velocity is $ v $ , the amplitude of acceleration is
- The average acceleration of a particle performing $ SHM $ over one complete oscillation is
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions