Question

The potential in a region between x = 0 and x = 6.00 m is V = a + bx, where a = 15.4 V and b = -5.10 V/m.

Determine the potential at x = 0. V
Determine the potential at x = 3.00 m. V
Determine the potential at x = 6.00 m.

Answer 1

`V(0)=15.4\\V(3)=0.1\\V(6)=-15.2`

Explanation:

The potential in a region between x = 0 and x = 6.00 m is V = a + bx.

Put a = 15.4 V and b = -5.10 V/m.

So,
`V=15.4-5.10x`

To find: Potential at x =0, 3, 6

Solution:

Potential at x = 0:

`V=15.4-0=15.4`

Potential at x = 3:

`V=15.4-5.10(3)=15.4-15.3=0.1`

Potential at x = 6:

`V=15.4-5.10(6)=15.4-30.60=-15.2`

Therefore,

`V(0)=15.4\\V(3)=0.1\\V(6)=-15.2`