Question

Vs/Am is the unit of which physical quantity? 

Hint:

{Permeability of free space} (\(\mu_0\)) is a fundamental constant in electromagnetism. It represents the ability of vacuum to support a {magnetic field} and is given by \( \mu_0 = 4\pi \times 10^{-7} \) H/m.

Answer 1

Step 1: Understanding the Given Unit 
The unit given is volt-second per ampere-meter (\({Vs/Am}\)). 
This unit corresponds to the magnetic permeability (\(\mu\)), specifically the permeability of free space (\(\mu_0\)). 
Step 2: Definition of Magnetic Permeability 
Magnetic permeability (\(\mu\)) is a measure of how easily a material allows magnetic field lines to pass through it.
The permeability of free space (\(\mu_0\)) is a universal constant used in electromagnetism. 
Step 3: Expression for \(\mu_0\) 
The permeability of free space is given by: \[ \mu_0 = 4\pi \times 10^{-7} \, {H/m} \quad ({or} \quad {Vs/Am}) \] 
Step 4: Importance of \(\mu_0\) 
Appears in Ampère’s Circuital Law and Maxwell’s Equations.
Defines the relationship between magnetic field and current in free space. Thus, the physical quantity represented by \({Vs/Am}\) is the permeability of free space (\(\mu_0\)).