Question

An extremely long thin wire carries a uniform linear charge density of 358 nC/m. Find the potential difference between points 5.0 m and 6.0 m from the wire, provided they are not near either end of the wire. (

Answer 1

Answer:

1.2kV

Explanation:

We are given that

Linear charge density,$\lambda=358nC/m=358\times 10^{-9} C/m$

$1 nC=10^{-9} C$

$r_1=5 m$

$r_2=6 m$

We have to find the potential difference between poinst 5.0 m and 6.0 m from the wire.

We know that potential difference of wire

$V=2k\lambda ln\frac{r_2}{r_1}$

Where

$k=9\times 10^9$

Substitute the values

$V=2\times 9\times 10^9\times 358\times 10^{-9}ln\frac{6}{5}$

$V=1174.8 V$

$V=1.17 kV\approx 1.2 kV$

1kV=1000 V