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CBSE Class 12-science Answered

  Three identical charge's each having value 1.0 x 10-8 C , are placed at the corner of an equilateral triangle of side 20cm . What is the force acting on unit positive charge at the centre
Asked by crazysujal786 | 30 May, 2021, 03:05: PM
answered-by-expert Expert Answer
Figure shows the charges of qual magnitude placed at the corners of triangle .
 
Forces acting on unit charge  at centre O is given as
 
begin mathsize 14px style F subscript A space equals space F subscript B space equals space F subscript C space equals space K space cross times q over d squared end style
where K is Coulomb's constant and d is the distance between vertex and centre of triangle.
 
Resultant of FB and FC is acting along +y-axis direction as shown in figure.
 
Magnitude of resultant of FB and FC is given as
 
FB + FC = 2 × K × ( q / d2 ) × cos60 = K × ( q / d2 ) 
 
force FA acting along -y-axis direction as shown in figure . 
 
Magnitude of FA and resultant of ( FB + FC ) are equal.
 
Hence Net force acting at centre of equilateral triangle is zero

 

Answered by Thiyagarajan K | 30 May, 2021, 04:43: PM

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