Question:
A long solenoid has 1500 turns. When a current of 3.5 A flows through it, the magnetic flux linked with each turn of solenoid is $2.8 \times 10^{-3}$ weber. The self-inductance of solenoid is
A long solenoid has 1500 turns. When a current of 3.5 A flows through it, the magnetic flux linked with each turn of solenoid is $2.8 \times 10^{-3}$ weber. The self-inductance of solenoid is
Show Hint
The total flux linkage $\Phi = LI$ always refers to the total flux through all $N$ turns.
Updated On: Apr 28, 2026
- 1.2 H
- 2.4 H
- 3.6 H
- 6 H
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Step 1: Identify the given values. The number of turns $N = 1500$, the current $I = 3.5$ A, and the magnetic flux linked with each turn $\phi = 2.8 \times 10^{-3}$ Wb.
Step 2: Calculate the total magnetic flux ($\Phi_{net}$) linked with the entire solenoid by multiplying the number of turns by the flux per turn. \[ \Phi_{net} = N \phi \]
Step 3: Substitute the given values into the formula. \[ \Phi_{net} = 1500 \times 2.8 \times 10^{-3} = 4.2 \text{ Wb} \]
Step 4: Use the relationship between total magnetic flux and self-inductance $L$, which is $\Phi_{net} = LI$. \[ L = \frac{\Phi_{net{I} \]
Step 5: Calculate the self-inductance by substituting the values. \[ L = \frac{4.2}{3.5} = 1.2 \text{ H} \]
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 Magnetic Field Questions
- The ratio of magnetic fields due to a bar magnet at the two axial points $P_1$ and $P_2$ which are separated from each other by $10 \,cm$ is 25 : 2. Point $P_1$ is situated at 10 cm from the centre of the magnet. Magnetic length of the bar magnet is (Points $P_1$ and $P_2$ are on the same side of magnet and distance of $P_2$ from the centre is greater than distance of $P_1$ from the centre of magnet)
- Which of the following while in motion cannot be deflected by magnetic field ?
A magnetic field is produced along the axis of a current-carrying loop. The direction and magnitude of the magnetic field at the center of the loop can be determined using the Biot-Savart law. What will be the direction of the magnetic field along the axis of the current loop? The magnetic field produced along the axis of a circular current loop is given by the equation: \[ B = \frac{{\mu_0 I R^2}}{{2 (R^2 + x^2)^{3/2}}} \]
where:
\( B \) is the magnetic field,
\( \mu_0 \) is the permeability of free space,
\( I \) is the current,
\( R \) is the radius of the loop,
\( x \) is the distance from the center of the loop along the axis.- A circular loop of radius 0.2 m carries a current of 4 A. What is the magnetic field at a point on the axis of the loop at a distance 0.2 m from the center?
- A coil of 100 turns, carrying a current of 5A, is placed in a magnetic field of 2T. The area of each turn is 0.01 m\(^2\). What is the magnetic moment of the coil?
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