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  • The shape of the lines of force if radial and transverse components of electric field intensity are given by- <img alt="\mathrm{E_\gamma=\frac{2 \rho \cos \theta}{\operatorname{tor}^

The shape of the lines of force if radial and transverse components of electric field intensity are given by-

\mathrm{E_\gamma=\frac{2 \rho \cos \theta}{\operatorname{tor}^3}, E_\theta=\frac{\rho \sin \theta}{\epsilon_0 \gamma^3} }

Option: 1

 Equation of lines of force. 


Option: 2

Equation of circle 


Option: 3

Equation of parabola 


Option: 4

None


Answers (1)

best_answer

The ratio of radial and transverse components of electric intensity is-
\mathrm{\begin{aligned} & \frac{E_r}{E_\theta}=\frac{1}{r} \frac{d r}{d \theta}=2 \frac{\cos \theta}{\sin \theta} \\ & 2 \frac{\cos \theta}{\sin \theta} d \theta=\frac{d r}{r} \\ & \log r=2 \log (c \sin \theta) \\ & r=c^2 \sin ^2 \theta \rightarrow \text { Equation of lines of force. } \end{aligned} }

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Kuldeep Maurya

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