$ 1\,Wb/m^2 $ is equal to :
- $ 10^4 $ gauss
- $ 4\pi \times 10^{-3} $ gauss
- $ 10^2 $ gauss
- $ 10^{-4} $ gauss
The Correct Option is A
Solution and Explanation
If a charge of $1 C$ moving with a velocity of $1 m / s$ perpendicular to a uniform magnetic field experiences a force of $1 N$, then the magnitude of the field is $1 T$. The SI unit of magnetic field is $Wb \,m ^{-2}$. Thus,
$1 \,T =1 \,NA ^{-1} \,m ^{-1}=1 \,Wb\, m ^{-2}$
In CGS systems
1 tesla $=10^{4} $ gauss $=1 \,Wb \,m ^{-2}$
Top Questions on Magnetic Field
- The magnetic field inside a 200 turns solenoid of radius 10 cm is \( 2.9 \times 10^{-4} \) Tesla. If the solenoid carries a current of 0.29 A, then the length of the solenoid is:
- JEE Main - 2025
- Physics
- Magnetic Field
A bar magnet has total length \( 2l = 20 \) units and the field point \( P \) is at a distance \( d = 10 \) units from the centre of the magnet. If the relative uncertainty of length measurement is 1\%, then the uncertainty of the magnetic field at point P is:
- JEE Main - 2025
- Physics
- Magnetic Field
- A current of 5A exists in a square loop of side \( \frac{1}{\sqrt{2}} \, {m} \). Then the magnitude of the magnetic field \( B \) at the centre of the square loop will be \( p \times 10^{-6} \, {T} \). Where, value of \( p \) is:
- JEE Main - 2025
- Physics
- Magnetic Field
- A bar magnet has total length \( 2l = 20 \) units and the field point \( P \) is at a distance \( d = 10 \) units from the centre of the magnet. If the relative uncertainty of length measurement is 1%, then the uncertainty of the magnetic field at point P is:
- JEE Main - 2025
- Physics
- Magnetic Field
- An infinite wire has a circular bend of radius \( a \), and carrying a current \( I \) as shown in the figure. The magnitude of the magnetic field at the origin \( O \) of the arc is given by:
- JEE Main - 2025
- Physics
- Magnetic Field
Questions Asked in UPSEE exam
Acetic acid dissociates 1.3%. What will be the pH of \(\frac {N}{10}\) solution of the acid.
- UPSEE - 2019
- Acids and Bases
Let z = x + iy be a complex number satisfying the following equation |z - (2 + i)| = |Re(z) - 4 | Which of the following options describes the above equation?
- UPSEE - 2019
- Complex Numbers and Quadratic Equations
- Let x be an $n \times 1$ matrix. Let O and I be the zero, and identity matrices of order n, respectively. Define $P = - \frac{xx^T}{x^Tx}$ is the transpose of x. Then which of the following options is always CORRECT?
- UPSEE - 2019
- Transpose of a Matrix
- Let z = x + iy be a complex number. The equation arg $\left( \frac{z + 1}{z}\right) = \frac{\pi}{4}$ represents
- UPSEE - 2019
- Complex Numbers and Quadratic Equations
- Let $a_1, a_2, a_3$, ... be an arithmetic progression with nonzero common difference. It is given that $\sum^{12}_{i = 4} a_i = 63$ and $a_k = 7 $ for some k . Then the value of k is
- UPSEE - 2019
- Arithmetic Progression
Concepts Used:
Magnetic Field
The magnetic field is a field created by moving electric charges. It is a force field that exerts a force on materials such as iron when they are placed in its vicinity. Magnetic fields do not require a medium to propagate; they can even propagate in a vacuum. Magnetic field also referred to as a vector field, describes the magnetic influence on moving electric charges, magnetic materials, and electric currents.
A magnetic field can be presented in two ways.
- Magnetic Field Vector: The magnetic field is described mathematically as a vector field. This vector field can be plotted directly as a set of many vectors drawn on a grid. Each vector points in the direction that a compass would point and has length dependent on the strength of the magnetic force.
- Magnetic Field Lines: An alternative way to represent the information contained within a vector field is with the use of field lines. Here we dispense with the grid pattern and connect the vectors with smooth lines.
Properties of Magnetic Field Lines
- Magnetic field lines never cross each other
- The density of the field lines indicates the strength of the field
- Magnetic field lines always make closed-loops
- Magnetic field lines always emerge or start from the north pole and terminate at the south pole.