A 10 μC charge is divided into two parts and placed at 1 cm distance so that the repulsive force between them is maximum. The charges of the two parts are :   
(1) 9 μC, 1 μ
(2) 5 μC, 5 μ
(3) 7 μC, 3 μ
(4) 8 μC, 2 μC                                                                                                           JEE-2024   
Solution:                
A 10 μC charge is divided into two parts and placed at 1 cm distance so that the repulsive force between them is maximum. The charges of the two parts are : (1) 9 μC, 1 μC (2) 5 μC, 5 μC (3) 7 μC, 3 μC (4) 8 μC, 2 μC JEE-2024

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The magnetic field at the centre of a wire loop formed by two semi circular wires of radii R1 = 2 πm and R2 = 4π m carrying current I = 4A as per figure  given below is  a × 10^–7 T. The value of a is  ______. (Centre O is common for all segments)           

                                                                      JEE-2024