Chord Inversions

One of the first basic things you learn on guitar is that moving a chord shape up the fretboard changes the note, i.e. Barring an E chord and moving it up a fret is an F and so on. This concept is taught pretty early in your guitar education and at first seems to only apply to the E and A barre chord shapes. From there, you probably learned power chords and mastered the top 4 strings of the guitar and could play rock songs like a champion.

In worship music, the concept of the barre chord is typically seen by the use of the capo. Most people will capo on the second fret and play G, C, D, Em to play a song that is in the key of A. A lot of Chris Tomlin songs are played with the G chord forms and using a capo to alter the key. It sounds great on an acoustic guitar, but if you are an electric guitar player I would challenge you to not use a capo and to learn the alternate chord shapes to play chords higher on the fretboard. Playing chords in different positions will add dynamics and fullness to a song.

For the examples below, I have taken the key of E and transposed it to 4 different inversions.
The idea is the same concept you achieve when you capo a guitar and play standard open chords. If you capo'd on the second fret and played the chords G, C, D, and Em you would be playing in the key of A and actually be playing A, D, E, and F#m. Chord inversions are the exact same idea as using the capo and playing standard chords, they just remove the use of the capo and allow you to have full usage of the fretboard at all times.  The 4 inversions below are based on the chord shapes of E, D, C, & G, but are moved up the fretboard and allow you to stay in the key of E.
 
E Chord Inversion
You are probably very used to these shapes and chords, all of these chords allow you to play lower on the fretboard.

E in a D Shape Chord Inversion
This allows you to play in around the 3rd to 5th fret and uses a D shape chord form.
Think about this like being capo'd on the 2nd fret and playing D, A, G, Bm, etc.

E in a C Shape Chord Inversion
This allows you to play around the 5th - 7th fret and uses a C shape chord form.
Think about this like being capo'd on the 4th fret and playing C, F, G, Am, etc.

E in a G Shape Chord Inversion
This allows you to play around the 10th to 12th frets and uses a G shape chord form.
Think about this like being capo'd on the 9th fret and playing G, C, D, Em, etc.