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Among the following, which is the right formula for inductance?
  • a)
    L=emf*t/I
  • b)
    L=emf/t*I
  • c)
    L=emf*I/t
  • d)
    L=emf*t*I
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Among the following, which is the right formula for inductance?a)L=emf...
The average emf induced is proportional to the current per unit time, the constant of proportionality being L. Hence emf=LI/t. Making L the subject of the formula, we get: L=emf*t/I.
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Among the following, which is the right formula for inductance?a)L=emf...
Inductance Formula

Inductance is a property of an electrical circuit that opposes any changes in current flowing through it. It is represented by the symbol L and is measured in henries (H). The inductance of a circuit depends on factors such as the number of turns in a coil, the area of the coil, and the permeability of the medium.

The formula for inductance is given by:

L = emf * t / I

Where:
- L is the inductance in henries (H)
- emf is the electromotive force or voltage across the circuit in volts (V)
- t is the time in seconds (s)
- I is the current flowing through the circuit in amperes (A)

Explanation of the Formula

The inductance of a circuit is directly proportional to the electromotive force (emf) across the circuit and the time (t) for which the current is flowing. It is inversely proportional to the current (I) flowing through the circuit.

- Electromotive Force (emf): The emf is the voltage across the circuit, which is the driving force for the current to flow. A higher emf will result in a higher inductance value.

- Time (t): The longer the time for which the current flows through the circuit, the greater the inductance value. This is because a longer duration allows for a greater change in the magnetic field surrounding the circuit.

- Current (I): The current flowing through the circuit creates a magnetic field, and the inductance opposes any changes in this current. A higher current will result in a lower inductance value.

- Division: The formula divides the product of emf and time by the current. This division takes into account the relationship between these variables and their impact on the inductance value.

Conclusion

In conclusion, the correct formula for inductance is L = emf * t / I. This formula considers the electromotive force, time, and current as the key factors affecting the inductance value. It is important to understand and apply this formula correctly in electrical engineering calculations involving inductance.
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