Physics-
General
Easy

Question

The instantaneous values of current and voltage in an ac circuit are i equals 100 sin invisible function application 3 14 t a m p and e equals 200 sin invisible function application left parenthesis 314 t plus pi divided by 3 right parenthesis V respectively. If the resistance is 1 capital omega then the reactance of the circuit will be

  1. negative 200 square root of 3 capital omega    
  2. square root of 3 capital omega    
  3. negative 200 divided by square root of 3 capital omega S    
  4. 100 square root of 3 capital omega    

The correct answer is: square root of 3 capital omega


    V0 = i0Z Þ 200 = 100 Z Þ Z = 2W
    Also Z to the power of 2 end exponent equals R to the power of 2 end exponent plus X subscript L end subscript superscript 2 end superscriptÞ left parenthesis 2 right parenthesis to the power of 2 end exponent equals left parenthesis 1 right parenthesis to the power of 2 end exponent plus X subscript L end subscript superscript 2 end superscript Þ X subscript L end subscript equals square root of 3 capital omega

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