Faraday’s law formula
The formula for Faraday’s law are as stated below
Faraday’s first law
The first law of Faraday’s electromagnetic induction explains that when a wire is kept in a field that experiences a constant change in its magnetic field, then an electromagnetic field is developed. This phenomenon of development of the electromagnetic field is called an induced emf.
Faraday’s second law
Where, 𝜀 = the emf or electromotive force
𝜙 = the magnetic flux
It is the integral (sum) of all of the magnetic fields passing through infinitesimal area elements dA.
The magnetic flux through a surface
The component of the magnetic field passing through that surface. The magnetic flux through some surface is proportional to the number of field lines passing through that surface. The magnetic flux passing through a surface of vector area A is
The direction of induced emf or current in the circuit is in such a way that it opposes the cause due to which it is produced. Therefore,
Induced emf is given as
E = E = -N((ϕ_1- ϕ_2)/t)
The magnetic flux through a plane of area dA placed in a uniform magnetic field B is given as
Fluid mechanics & Properties of Matter Formula
The formula for fluid mechanics and properties of matter are as stated below
For hydraulic press:
Here, P is the pressure, F is the force applied on bigger piston with area A and f is the force on the smaller piston with area a.
Angle made by liquid surface when container experiences an acceleration
tan θ =a_0/g
According to the equation of continuity, the product of velocity and the area of cross section at any section in a tube is constant.
a_1 v_1=a_2 v_2
here, a_1 v_1
According to Bernoulli’s equation the total energy of liquid flowing through a tube is constant throughout the tube.
Here, P is the pressure, is the density of the fluid, g is the gravitational acceleration, v is the velocity of the fluid and Z is the potential head.
Speed of efflux
Here, v is the velocity, g is the gravitational acceleration, h is the height,
Here, F is the drag experienced by the sphere, r is the radius of the sphere, η is the viscosity of the fluid and v is the velocity of the sphere.
v=2/9 ((r^2 (ρ-σ)g)/η)
Here, r is the radius of the sphere, is the density of the sphere, σ is the density of the fluid, g is the gravitational acceleration and η is the viscosity of the fluid.
Magnetic Effect of Current formula
The formula for magnetic effect of current are as stated below
Magnetic field due to a moving point charge
Magnetic field due to a moving point charge is given as
B ⃗=(μ_0 q(v ⃗×r ⃗ ))/(4πr^3 )
μ_0= permeability of free space
Biot Savart’s Law
dB∝(I ∙ dl ∙ sin θ)/r^2
Magnetic field due to a straight wire
The magnetic field due to a straight wire is given as
B=(μ_0 I)/4πr (sinθ_1+sinθ_2 )
Magnetic field due to an infinite straight line
B = (μ_0 I)/2πr
Magnetic field due to a circular loop
At Axis (μ_0 (NIR^2))/(2〖(R^2+x^2)〗^(3/2) )
At centre B=(μ_0 NI)/2r
Magnetic field on the axis of a solenoid
B=(μ_0 NI)/2 (cosθ_1-cosθ_2 )
∮ B ⃗∙(dl) ⃗ = μ_0 l
Magnetic field due to a long cylinder
B=(μ_0 NI)/2r ,r≥R
Magnetic force acting on a moving point Charge
(F ) ⃗=q(v ⃗×B ⃗ )
Magnetic force acting on a current-carrying
(F ) ⃗=I(l ⃗×B ⃗ )
Magnetic Moment of a current carrying loop
The torque acting on a loop
τ ⃗=M ⃗×B ⃗
Magnetic field due to single pole
B = (μ_0 m)/(2πr^2 )
Magnetic field on the axis of the magnet
B = (μ_0 2M)/(4πr^3 )
Magnetic field on the equatorial axis of the magnet
B = (μ_0 M)/(4πr^3 )
Magnetic field at the point P of the magnet
|B = (μ_0 M)/(4πr^3 ) [√(1+〖cos〗^2 θ)]|
JEE Physics Important Formulas Part -6
In this article we will go through physics quick formula revision for Jee mains. The formulas of Physics that are important for Jee mains and advance. The formula stated in the article is also a physics revision formula for Jee and revision formula for jee advanced.