Tesla is a unit of:
Tesla: Understanding the Unit of Magnetic Flux Density
The question asks to identify the physical quantity for which Tesla is the standard unit. Let's delve into the concept of Tesla and its relationship to various magnetic quantities.
Tesla and Magnetic Flux Density Defined
- The Tesla ($\text{T}$) is the International System of Units (SI) derived unit of magnetic flux density. Magnetic flux density is often also referred to as magnetic field strength or magnetic induction.
- Magnetic flux density is a fundamental concept in electromagnetism that quantifies the strength and direction of a magnetic field at a specific point in space.
- It is essentially a measure of the amount of magnetic flux that passes perpendicularly through a unit area.
- The relationship between magnetic flux density ($\text{B}$), magnetic flux ($\Phi$), and area ($\text{A}$) is given by the formula:
$$\text{B} = \frac{\Phi}{\text{A}}$$
From this formula, we can deduce that 1 Tesla is equivalent to 1 Weber per square meter ($1\text{ T} = 1\text{ Wb/m}^2$).
Exploring Other Magnetic Quantities and Their Units
To gain a comprehensive understanding, let's examine the units for the other quantities mentioned in the options:
- Magnetic Flux: The SI unit for magnetic flux ($\Phi$) is the Weber ($\text{Wb}$). Magnetic flux represents the total number of magnetic field lines passing through a given surface area.
- Permeability: The SI unit for permeability ($\mu$) is Henry per meter ($\text{H/m}$). Permeability describes a material's ability to support the formation of a magnetic field within itself. It indicates how easily a magnetic field can be established in a material.
- Magneto-motive Force (MMF): The SI unit for magneto-motive force is the Ampere-turn ($\text{AT}$). MMF is analogous to electromotive force (EMF) in an electrical circuit, as it is the force that drives magnetic flux through a magnetic circuit. It is commonly calculated as the product of the current flowing through a coil and the number of turns in that coil ($\text{MMF} = \text{NI}$).
Summary Table of Magnetic Units
Here is a concise summary detailing the quantities and their corresponding SI units:
| Quantity | SI Unit | Symbol |
|---|---|---|
| Magnetic Flux Density | Tesla | $\text{T}$ |
| Magnetic Flux | Weber | $\text{Wb}$ |
| Permeability | Henry per meter | $\text{H/m}$ |
| Magneto-motive Force | Ampere-turn | $\text{AT}$ |
Based on the analysis, Tesla is definitively the unit of flux density.
Important Questions from Magnetic Flux Density
The magnetic flux Φ(in Web) linked with a single turn coil at an instant of time t (in second) is given by Φ(t) = 2t 2– 20t + 40. The induced EMF in the coil at the instant t = 2 seconds is
What does the remanence (Br) indicate in a magnetic hysteresis loop?
A coil is placed in a uniform magnetic field. If the area of the coil is doubled while the magnetic field strength and orientation remain unchanged, how will the magnetic flux through the coil be affected assuming the initial magnetic flux is a non-zero finite value?
- The ratio of total flux linkage to used flux is known as __________.
The S.I unit of magnetic flux is________
