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Name the physical quantity whose unit is...

Name the physical quantity whose unit is tesla. Hence define a tesla.

A

magnetic flux

B

magnetic field

C

magnetic induction

D

magnetic moment

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we will follow these steps: ### Step 1: Identify the Physical Quantity The physical quantity whose unit is Tesla is the **magnetic field**. ### Step 2: Define a Tesla A Tesla (T) is defined based on the relationship between force, charge, velocity, and the angle between the velocity and the magnetic field. ### Step 3: Write the Formula The magnetic force \( F \) on a charged particle moving in a magnetic field can be expressed as: \[ F = B \cdot q \cdot v \cdot \sin(\theta) \] where: - \( F \) is the magnetic force in newtons (N), - \( B \) is the magnetic field strength in teslas (T), - \( q \) is the charge in coulombs (C), - \( v \) is the velocity in meters per second (m/s), - \( \theta \) is the angle between the velocity vector and the magnetic field vector. ### Step 4: Set Values for Definition To define one Tesla, we consider the following conditions: - Let \( F = 1 \, \text{N} \) (force), - Let \( q = 1 \, \text{C} \) (charge), - Let \( v = 1 \, \text{m/s} \) (velocity), - Let \( \theta = 90^\circ \) (which means \( \sin(90^\circ) = 1 \)). ### Step 5: Substitute Values Substituting these values into the formula gives: \[ 1 \, \text{N} = B \cdot 1 \, \text{C} \cdot 1 \, \text{m/s} \cdot 1 \] This simplifies to: \[ B = 1 \, \text{T} \] ### Step 6: Final Definition Thus, we can define one Tesla as: **One Tesla is the magnetic field strength that exerts a force of one newton on a charge of one coulomb moving at a velocity of one meter per second, when the charge is moving perpendicular to the magnetic field.** ### Summary - The physical quantity is the **magnetic field**. - One Tesla is defined as the magnetic field that exerts a force of one newton on a charge of one coulomb moving at a velocity of one meter per second, perpendicular to the magnetic field. ---
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