Physics-
General
Easy

Question

Two infinitely long linear conductors are arranged perpendicular to each other and are in mutually perpendicular planes as shown in figure. If I subscript 1 end subscript equals 2 A along the y-axis and I subscript 2 end subscript equals 3 A along negative z-axis and AP = AB = 1 cm. The value of magnetic field strength

  1. open parentheses 3 cross times 10 to the power of negative 5 end exponent T close parentheses stack j with hat on top plus open parentheses negative 4 cross times 10 to the power of negative 5 end exponent T close parentheses stack k with hat on top    
  2. open parentheses 3 cross times 10 to the power of negative 5 end exponent T close parentheses stack j with hat on top plus open parentheses 4 cross times 10 to the power of negative 5 end exponent T close parentheses stack k with hat on top    
  3. open parentheses 4 cross times 10 to the power of negative 5 end exponent T close parentheses stack j with hat on top plus open parentheses 3 cross times 10 to the power of negative 5 end exponent T close parentheses stack k with hat on top    
  4. open parentheses negative 3 cross times 10 to the power of negative 5 end exponent T close parentheses stack j with hat on top plus open parentheses 4 cross times 10 to the power of negative 5 end exponent T close parentheses stack k with hat on top    

The correct answer is: open parentheses 3 cross times 10 to the power of negative 5 end exponent T close parentheses stack j with hat on top plus open parentheses 4 cross times 10 to the power of negative 5 end exponent T close parentheses stack k with hat on top


    Magnetic field strength at P due to I1
    stack B with rightwards arrow on top subscript 1 end subscript equals fraction numerator mu subscript 0 end subscript I subscript 1 end subscript over denominator 2 pi open parentheses A P close parentheses end fraction stack k with hat on top equals fraction numerator 4 pi cross times 10 to the power of negative 7 end exponent cross times 2 over denominator 2 pi cross times 1 cross times 10 to the power of negative 2 end exponent end fraction stack k with hat on top equals open parentheses 4 cross times 10 to the power of negative 5 end exponent T close parentheses stack k with hat on top
    Magnetic field strength at P due the I2
    table row cell stack B with rightwards arrow on top subscript 2 end subscript equals fraction numerator mu subscript 0 end subscript I subscript 2 end subscript over denominator 2 pi open parentheses B P close parentheses end fraction stack j with hat on top equals fraction numerator 4 pi cross times 10 to the power of negative 7 end exponent cross times 3 over denominator 2 pi cross times 2 cross times 10 to the power of negative 2 end exponent end fraction stack j with hat on top equals open parentheses 3 cross times 10 to the power of negative 5 end exponent T close parentheses stack j with hat on top end cell row cell text end text text H end text text e end text text n end text text c end text text e end text text , end text text end text stack B with rightwards arrow on top equals open parentheses 3 cross times 10 to the power of negative 5 end exponent T close parentheses stack j with rightwards arrow on top plus open parentheses 4 cross times 10 to the power of negative 5 end exponent T close parentheses stack k with hat on top end cell end table

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