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A mass m carrying a charge q is suspended from a string and placed in a uniform horizontal electric field intensity . The angle made by the string with the vertical in the equilibrium position is​

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12th

Physics

Electric Charges and Fields

Electric Field and Electric Field Lines

A mass m carrying a charge ...

PHYSICS

A mass m carrying a charge q is suspended from a string and placed in a uniform horizontal electric field of intensity E. The angle made by the string with the vertical in the equilibrium position is :

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As the body is in equilibrium

Net horizontal forces =0 and Net vertical forces =0

⇒Tcosθ=mg and Eq=Tsinθ

⇒T=

cosθ

mg

and T=

sinθ

Eq

⇒

cosθ

mg

=

sinθ

Eq

⇒tanθ=

mg

Eq

⇒θ=tan

−1

mg

Eq