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Sagot :
The formula for calculating the magnetic field is
B = μo[(I1/2πR1) - (I2/2πR2)]
B = μo/2π[(I1/R1) - (I2/R2)]
where
B is the magnetic field
μo is the permeability of free space
From the information given,
B = 0
I1 = 4.32
R1 = 0.831
I2 = 7.5
R2 = ?
μo = 4π x 10^-7 Tm/A
Thus,
0 = 4π x 10^-7/2π[(4.32/0.831) - (7.5/R2)]
0 = 4 x 10^-7/2[(4.32/0.831) - (7.5/R2)]
0 = 4 x 10^-7/2(4.32/0.831) - 4 x 10^-7/2(7.5/R2)]
4 x 10^-7/2(7.5/R2)] = 4 x 10^-7/2(4.32/0.831)
7.5/R2 = 4.32/0.831
By cross multiplying,
4.32R2 = 7.5 x 0.831
R2 = (7.5 x 0.831)/4.32
R2 = 1.443 m
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