A carbocation is a positively charged, electron-deficient carbon atom that acts as a reactive intermediate in many organic reactions.

The carbon at the positive center of the carbocation is electron deficient and has only 6 valence electrons instead of the preferred 8. As a result, a carbocation can form only three covalent bonds; therefore, it is trivalent.

The central carbon is sp2 hybridized. The three substituents of carbon are oriented to the three corners of an equilateral triangle. Therefore, the geometry of the carbocation is trigonal planar, and the bond angle between the substituent is 1200.
Based on the number of alkyl substituents on the central carbon, carbocations are of three types: Primary, secondary, and tertiary.
Primary Carbocation:
The central, positively charged carbon is bonded to one alkyl substituent, and the other two are H atoms.
For example,

Secondary Carbocation:
The central carbon in a secondary carbocation is bonded to two alkyl substituents and one H atom.
For example,

Tertiary Carbocation:
The positively charged, trivalent carbon in a tertiary carbocation is bonded to three alkyl substituents.
For example,

Methyl Carbocation:
The central carbon in a methyl carbocation has no alkyl substitutions. All three substituents are H atoms. It is the simplest, highly unstable carbocation.

This is an excerpt from CurlyArrows' Introduction to Organic Chemistry Premium Tutorials, Chapter Reactive Intermediates.
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Difference Between Carbocation and Free Radical
Difference Between Carbocation and Electrophiles
Difference Between Carbocation and Carbanion