Infinite uniform line charges of 5 nC/m lie along the positive and negative x and y axes in free space. Find electric field intensity (E) at PA (0, 0, 4).

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HPCL Engineer Electrical 01 Nov 2022 Official Paper
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  1. 45az V/m
  2. 65az V/m
  3. 85az V/m
  4. 25az V/m

Answer (Detailed Solution Below)

Option 1 : 45az V/m
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Detailed Solution

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The correct answer is option 1):(45az V/m)

Concept:

The electric field 

E(Pa) = apx + apy

where

 is  the line charge

apx , apy indicates directions

r is the distance from origin

 ε0 = 8.8541878128 × 10−12 F⋅m−1

Calculation:

Given 

r = 4

ρl = 5 ×  10-9

E(Pa)  =  apx + apy

az +az 

= 45 az V/m

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