Question

A circular loop has radius of 0.3 m and linear charge density 5 micro coulomb per meter . Calculate the electric field at the center.

Answer 1

Answer:

=> Electric Field ( E ) = 638 × 10³ N / C

Explanation:

★ ELECTROSTATIC ★

★ GIVEN ;

» Radius of Loop ( R ) = 0.3 m

» Linear Charge Density ( q ) = 5 micro coulomb

» Permittivity Constant ( e ) = 8.85 × 10-¹²

★ Surface Charge Density ( p ) = charge / Area

★ ELECTRIC FIELD AT CENTRE ( E ) = ???

_____ [ BY USING FORMULA ] _____

$[Electric \: Field \: ( \: E \: ) \: = \: \frac{Surface \: Charge \: Density \: ( \: p \: )}{Permittivity \: Constant \: ( \: e \: )}]$

★ E = p / e = q × A / e

» E = Charge × Area / e

» E = 5 × 10^-6 × 4 × π × (0.3)² / 8.85 × 10-¹²

» E = 5 × 10^-6 × 4 × 3.14 × 9 × 10-² / 8.85 × 10-¹²

» E = 565.2 × 10^-8 / 8.85 × 10-¹²

» E = [ 565.2 / 8.85 ] × 10⁴

» E = 63.8 × 10⁴

★ ELECTRIC FIELD ( E ) = 638 × 10³ N / C

---------------------------- [ OR ] --------------------------

★ ELECTRIC FIELD ( E ) = 0.63 × 10^6

N / C

____________________________________

ANSWER :- Electric Field of Loop having linear charge density 5 micro coulomb is ;

[ E = 638 Kilo N / C ]

or

[ E = 0.63 Mega N / C ]