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[QUE/EM-02021] --- EM-PROBLEM

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Three charges are located on the circumference of a circle of radius $R$ as shown in the figure below.  The two charges \(Q\) subtend an angle \( 90^o \) at the centre of the circle. The charge \( q\) is symmetrically placed on the circumference with respect to the charges \(Q\). What is the magnitude of \(Q\) if the electric field at the centre is zero?  
                                          CSIR Dec 2012 

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