Question

Calculate the magnitude of electric field strength at a point 3cm from an infinite line of charge of linear density 18 μC/cm situated in a medium of whose Ԑr = 1.5

Answer 1

Answer:

The magnitude of the electric field strength = 7.2 x 10⁸ N/C

Step-by-step explanation:

The linear density:

`\begin{gathered} \lambda=18\mu C\text{ /cm} \\ \\ \lambda=(18*10^(-6)C)/(0.01m) \\ \\ \lambda=0.0018\text{ C/m} \end{gathered}`

Point r = 3 cm = 3/100 m

r = 0.03 m

The electric field strength is calculated below

`\begin{gathered} E=(\lambda)/(2\pi\epsilon_o\epsilon_rr) \\ \\ E=(0.0018)/(2*3.14*8.85*10^(-12)*1.5*0.03) \\ \\ E=719709237.468\text{ N/C} \\ \\ E=7.2*10^8\text{ N/C} \\ \end{gathered}`

The magnitude of the electric field strength = 7.2 x 10⁸ N/C