Under the influence of the Coulomb field of c | vedclass

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Question

(A) The correct option is $A$. In a central force field,such as the Coulomb field created by a stationary charge $+Q$,the force acting on the orbiting

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The angular momentum of the charge $-q$ is constant.

Vedclass · Answer

(A) The correct option is $A$. In a central force field,such as the Coulomb field created by a stationary charge $+Q$,the force acting on the orbiting charge $-q$ is always directed towards the center (the position of $+Q$). Since the force is a central force,the torque $\vec{	au} = \vec{r} 	imes \vec{F}$ acting on the charge $-q$ about the center $+Q$ is zero. According to the principle of conservation of angular momentum,if the net external torque on a system is zero,the angular momentum $\vec{L}$ remains constant. Therefore,the angular momentum of the charge $-q$ is constant throughout its elliptical orbit. Linear momentum,angular velocity,and linear speed are not constant in an elliptical orbit because the distance between the charges changes,leading to variations in speed and direction.

Under the influence of the Coulomb field of charge $+Q$,a charge $-q$ is moving around it in an elliptical orbit. Find out the correct statement$(s)$.

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