Maxwell’s Equations Practice Questions

What are Maxwell’s Equations of Electromagnetism?

Maxwell has combined the four equations that were discovered by Oersted, Ampere, Coulomb, and Faraday. These equations have two forms — one is the partial differential form and the other is the integral form....

Integral form of the Maxwell’s Equations

Lets have a look at the integral form of the Maxwell’s Equations...

Maxwell’s First Equation – Derived from Gauss’ law of Electrostatics

Gauss’s law for electricity states that the total electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity. Here, the electric flux in an area can be defined as the electric field multiplied by the area of the surface projected in a plane and perpendicular to the field....

Maxwell’s Second Equation – Derived from Gauss’ law of Magnetism

According to Gauss’ law of Magnetism, magnetic field flux through any closed surface is zero which is equivalent to the statement that magnetic field lines are continuous. They have no beginning or end. Thus any magnetic field line entering the region enclosed by the surface must leave it too....

Maxwell’s Third Equation – Derived from Faraday’s law of Induction

According to Faraday’s Law of Induction , a change in magnetic field induces an electromotive force which is called emf in short. This generates an electric field....

Maxwell’s Fourth Equation – Derived from Ampere’s Circuital Law

According to Ampere Circuital law, moving charges or changing electric fields generate magnetic fields. This equation considers Ampère’s law....

Maxwell’s Equations: Differential and Integral Form

The Differential and Integral Form of Maxwell Equation are stated below:...

Applications of Maxwell Equations

The applications of Maxwell Equations are as follows...

Merits of Maxwell’s Equations

Merits of Maxwell’s Equations are as follows:...

Limitations of Maxwell’s Equations

The limitations of Maxwell’s Equations are as follows:...

Conclusion: Maxwell’s Equations in Electromagnetism

To understand these Maxwell’s equations, first we need to completely understand the underlying laws that were discovered by Coulomb, Oersted, Ampere, and Faraday. These are very basic and easy-to-understand laws of physics and are used in everyday activities like in the smallest motors, capacitors, and many other activities....

Maxwell’s Equations Solved Examples

Let’s solve some example problems on Maxwell’s Equations:...

Maxwell’s Equations Practice Questions

Q1: If the velocity of a charged particle in a perpendicular electric and magnetic field is 7.5 x 106 m/s and the Electric field is 5 x 106 N/C, what should be the value of the magnetic field for the velocity sector?...

FAQs on Maxwell’s Equations in Electromagnetism

What are the Maxwell’s Electromagnetic Equations?...