6af 14next Problem 32 42 Part A long wire camying a60 A cament perpe to the ry p

Question

6af 14next Problem 32 42 Part A long wire camying a60 A cament perpe to the ry plane intersects te # axis ® =-22cm A second parall-win carrying a 30 A current nenects the aris at Atwht on the N..the magnetc f Id zero the two currents are in the same deection? Express your answe to two significant figures and include the approprlate units +2 3 Value Units Sabmit My Answers G Part ht oin on the -is is theegnaticedere if the too curents are in opposit drecto Express your answer to two significant Sgures and include the appropriate units

Explanation / Answer

here,

I1 = 6 A at x1 = - 0.022 m

I2 = 3 A at x2 = 0.022 m

magnetic feild due to current carying wire , B = u0 * I /( 2 * pi * d)

a)

when the currents in the same direction

let the magnetic feild is zero at x

u0 * I1 /(2 * pi * ( x - ( x1))) - u0 * I2 /( 2 * pi *(x2 - x)) = 0

6/( ( x + 0.022) - 3 /(0.022- x) = 0

solving for x

x = 0.0073 m = 0.73 cm

b)

when the currents are in opposite direction

let the magnetic feild is zero at x

u0 * I1 /(2 * pi * ( x - ( x1))) - u0 * I2 /( 2 * pi *(x - x2)) = 0

6/( ( x + 0.022) - 3 /(x - 0.022) = 0

solving for x

x = 0.066 m = 6.6 cm

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