A series LCR circuit with   

and R = 10 ohm , is connected across an ac source of
220 V, 50 Hz supply. The power factor of the
circuit would be ________.

                                                       JEE-2024       
Solution:                
A series LCR circuit with and R = 10 ohm , is connected across an ac source of 220 V, 50 Hz supply. The power factor of the circuit would be ________. 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