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  4. ​A wheel having mass m has charges +q and -q on diametrically opposite points. It remains in equilibrium on a rough inclined plane in the presence of a uniform vertical electric field E . The value of E is <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-pqwt73dqds7d.png />

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Q. ​A wheel having mass $m$ has charges $+q$ and $-q$ on diametrically opposite points. It remains in equilibrium on a rough inclined plane in the presence of a uniform vertical electric field $E$ . The value of $E$ is

Question

NTA AbhyasNTA Abhyas 2020Electrostatic Potential and Capacitance

Solution:

Solution
For rotational equilibrium, $\displaystyle \sum \tau_{P} = 0$
$ \, \Rightarrow mgacos\alpha \, -qE\left(\right.2acos \, \left.\right) \, = \, 0$
$\Rightarrow $ $E = \frac{m g}{2 q}$