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Two infinite plane sheets of charge A and B of positive charge have surface charge densities Ksigma and sigma, respectively. A metallic ball of mass m and charge +q is attached to a thread and the thread is tied at point P on sheet A. Initially ball is equilibrium at plate P when sheets are uncharged. Find the correct options (K is a constant.) |
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Answer» If `Kgt1, ANGLE THETA = tan^(-1)(Ksigmag)/(2epsilon_0mg)`. If `Klt1`, force due to charge on plate `B` will be greater than the force due to charge on plate `A`, and so ball will remain in CONTACT with plate `A`. It is alos true for `K=1`. `T cos theta=mg` `T SINTHETA=((K-1)sigmaq)/(2epsilon_(0))` Dividing EQUATION (i) and (ii), we get `theta=tan^(-1)[((K-1)sigmaq)/(2epsilon_(0)mg)]` for `Kgt1`
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