1 Henry is equal to

Question

1 Henry is equal to

Accepted Answer

The correct option is (3):

To understand what 1 Henry is equal to, we need to recall the definition of inductance ($L$). Inductance is a property of an electrical conductor which opposes a change in the electric current flowing through it. It is also defined as the ratio of the magnetic flux ($\Phi$) linking the circuit to the current ($I$) flowing through it. Mathematically, this relationship is expressed as:
$L = \frac{\Phi}{I}$

Here, $L$ is inductance, $\Phi$ is the magnetic flux, and $I$ is the current.
The SI unit of inductance is the Henry (H).
The SI unit of magnetic flux is the Weber (Wb).
The SI unit of electric current is the Ampere (A).

Substituting these units into the formula, we get:
$1 	ext{ H} = \frac{1 	ext{ Wb}}{1 	ext{ A}}$

Therefore, 1 Henry is equal to 1 Weber per Ampere. This means that if a current of 1 Ampere produces a magnetic flux of 1 Weber, the inductance of the circuit is 1 Henry.

The incorrect option is (1): Weber Ampere.
This option suggests a product of Weber and Ampere, which does not correspond to the definition of Henry. It represents magnetic flux multiplied by current, which is not a standard physical quantity for inductance.

The incorrect option is (2): Weber/Volt.
This option would imply a unit of $\frac{	ext{Magnetic Flux}}{	ext{Electromotive Force (EMF)}}$. While inductance is related to induced EMF and the rate of change of current ($ \mathcal{E} = -L \frac{dI}{dt}$), rearranging this would give $L = -\mathcal{E} / (dI/dt)$, which simplifies to Volt / (Ampere/second) or Volt-second/Ampere. This is also not equivalent to Weber/Volt.

The incorrect option is (4): None of these.
Since option (3) is correct, this option is incorrect.