Changing electric field gives rise to displacement current which creates magnetic field around it.

Maxwell's Hypothesis:
According to Maxwell's hypothesis, a changing electric field gives rise to a magnetic field.

Explanation:
Maxwell's hypothesis is one of the fundamental principles in electromagnetism proposed by James Clerk Maxwell. It states that a changing electric field induces a magnetic field. This hypothesis is based on Maxwell's equations, which describe the behavior of electric and magnetic fields.

Maxwell's Equations:
Maxwell's equations are a set of four differential equations that relate the electric and magnetic fields. These equations are:

1. Gauss's law for electric fields:
This equation states that the electric flux through a closed surface is proportional to the total charge enclosed by that surface.

2. Gauss's law for magnetic fields:
This equation states that the magnetic flux through a closed surface is always zero. In other words, there are no magnetic monopoles.

3. Faraday's law of electromagnetic induction:
This equation states that a changing magnetic field induces an electric field, which circulates around the changing magnetic field.

4. Ampere's law with Maxwell's addition:
This equation states that the magnetic field around a closed loop is proportional to the current passing through the loop and the rate of change of electric flux through the loop.

Explanation of Maxwell's Hypothesis:
Based on these equations, Maxwell's hypothesis can be explained as follows:

- According to Faraday's law of electromagnetic induction, a changing magnetic field induces an electric field. This means that a changing magnetic field can cause the electric field to circulate around it.

- Similarly, according to Ampere's law with Maxwell's addition, a changing electric field can give rise to a magnetic field. This means that a changing electric field can cause the magnetic field to circulate around it.

- Therefore, based on these laws and equations, Maxwell hypothesized that a changing electric field gives rise to a magnetic field.

Significance:
Maxwell's hypothesis is crucial in understanding the phenomenon of electromagnetic waves. It explains how electric and magnetic fields are interconnected and can generate each other. This hypothesis forms the basis of many applications in technology, including radio waves, wireless communication, and electromagnetic radiation.

In summary, Maxwell's hypothesis states that a changing electric field gives rise to a magnetic field. This hypothesis is supported by Maxwell's equations, which describe the behavior of electric and magnetic fields and their interrelationships. Understanding this hypothesis is essential in comprehending the principles of electromagnetism and its various applications.