Home
Class 12
PHYSICS
Assertion : If some ferromagnetic substa...

Assertion : If some ferromagnetic substance is filled inside a solenoid, its coefficient of self induction `L` will increase.
Reason : By increasing the current in a coil, its coefficient of self induction `L` can be increased.

A

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

B

If both Assertion and Reason are true but Reason is not the correct explanation of Assertion

C

If Assertion is true, but the Reason is false.

D

If Assertion is false but the Reason is true.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the assertion and reason question, we need to analyze both statements carefully. ### Step 1: Understand the Assertion The assertion states that if a ferromagnetic substance is filled inside a solenoid, its coefficient of self-induction \( L \) will increase. - **Explanation**: When a ferromagnetic material is introduced into a solenoid, it enhances the magnetic field inside the solenoid due to its high permeability. This leads to an increase in the magnetic flux \( \Phi \) through the solenoid. The self-inductance \( L \) of a solenoid is given by the formula: \[ L = \frac{N \Phi}{I} \] where \( N \) is the number of turns, \( \Phi \) is the magnetic flux, and \( I \) is the current. Since the introduction of the ferromagnetic material increases \( \Phi \), the self-inductance \( L \) will also increase. ### Step 2: Understand the Reason The reason states that by increasing the current in a coil, its coefficient of self-induction \( L \) can be increased. - **Explanation**: This statement is incorrect. The self-inductance \( L \) of a coil is a property of the coil itself and depends on its geometry and the material inside it, not on the current flowing through it. Increasing the current \( I \) does not change the self-inductance \( L \); it only affects the magnetic flux \( \Phi \) and the induced emf in the coil. ### Step 3: Conclusion Based on the analysis: - The assertion is **correct**: Filling a ferromagnetic substance inside a solenoid increases its self-inductance \( L \). - The reason is **incorrect**: Increasing the current does not increase the self-inductance \( L \). Thus, the final conclusion is: - **Assertion**: True - **Reason**: False ### Final Answer - Assertion is correct, but the reason is incorrect. ---

To solve the assertion and reason question, we need to analyze both statements carefully. ### Step 1: Understand the Assertion The assertion states that if a ferromagnetic substance is filled inside a solenoid, its coefficient of self-induction \( L \) will increase. - **Explanation**: When a ferromagnetic material is introduced into a solenoid, it enhances the magnetic field inside the solenoid due to its high permeability. This leads to an increase in the magnetic flux \( \Phi \) through the solenoid. The self-inductance \( L \) of a solenoid is given by the formula: \[ L = \frac{N \Phi}{I} ...
Promotional Banner

Topper's Solved these Questions

  • ELECTROMAGNETIC INDUCTION

    DC PANDEY ENGLISH|Exercise Level 1 Objective|36 Videos
  • ELECTROMAGNETIC INDUCTION

    DC PANDEY ENGLISH|Exercise Objective Questions|3 Videos
  • ELECTROMAGNETIC INDUCTION

    DC PANDEY ENGLISH|Exercise Exercise 27.7|2 Videos
  • CURRENT ELECTRICITY

    DC PANDEY ENGLISH|Exercise Medical entrances gallery|97 Videos
  • ELECTROMAGNETIC WAVES

    DC PANDEY ENGLISH|Exercise Sec C|22 Videos

Similar Questions

Explore conceptually related problems

Assertion: When a ferromagnetic rod is inserted inside an inductor, then current in L-C-R, alternating circuit will decrease. Reason: By inserting the ferromagnetic rod inside the inductor, coefficient of self induction and hence the net impedance will increases.

Self inductance of a soleniod can be increased by

Mutual inductance of two coils can be increased by

If emf induced in a coil is 2V by changing the current in it from 8 A to 6 A in 2 xx 10^(3) s . Then , the coefficient of self -induction is

The self inductance of a long solenoid cannot be increased by

The self inductance of a long solenoid cannot be increased by

Assertion : In series L-C-R circuit, if a ferromagnetic rod is inserted inside an inductor, current in the circuit may increase or decrease. Reason : By doing so X_L will increase.

Self inductance coefficient of a system can be increased by increasing the current through it b) decreasing the current through it c) inserting an iron core d) increasing the number of turns

An emf of 2 V is induced in a coil when current in it is changed from 0 A to 10 A in 0-40 sec. Find the coefficient of self-inductance of the coil.

Assertion : In the phenomenon of mutual induction, self induction of each of the coils persists. Reason : Self induction arises when strength of current in same coil changes. In mutual induction, current is changing in both the individual coils.