NEET
- Exam
- NEET
- Subject
- Physics
- Chapter
- Electromagnetic Induction
NEET · Physics · Electromagnetic Induction
Given below are two statements: one is labelled as Assertion (A)...
Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Two inductors of different inductances connected in series store the same amount of magnetic energy.
Reason (R): The magnetic energy stored in an inductor is given by , and components in series carry the same current.
In the light of the above statements, choose the most appropriate answer from the options given below:
Assertion (A): Two inductors of different inductances connected in series store the same amount of magnetic energy.
Reason (R): The magnetic energy stored in an inductor is given by , and components in series carry the same current.
In the light of the above statements, choose the most appropriate answer from the options given below:
Options
- ABoth (A) and (R) are true and (R) is the correct explanation of (A)
- BBoth (A) and (R) are true but (R) is not the correct explanation of (A)
- C(A) is true but (R) is false
- D(A) is false but (R) is true
Correct answer
D. (A) is false but (R) is true
Step-by-step solution
In a series circuit, the same current () flows through all components. The magnetic energy stored in an inductor is given by .
Since the current is constant for both inductors, the energy stored is directly proportional to the inductance (). Therefore, two inductors with different inductances will store different amounts of magnetic energy.
Thus, Assertion (A) is false.
The formula for magnetic energy and the principle that series components carry the same current are both correct. Thus, Reason (R) is true.
Answer: (A) is false but (R) is true
Since the current is constant for both inductors, the energy stored is directly proportional to the inductance (). Therefore, two inductors with different inductances will store different amounts of magnetic energy.
Thus, Assertion (A) is false.
The formula for magnetic energy and the principle that series components carry the same current are both correct. Thus, Reason (R) is true.
Answer: (A) is false but (R) is true