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At what point on the x-axis is the magnetic field zero if the two currents are in the same direction?

User MPritchard
by
8.3k points

1 Answer

5 votes

Answer:

0.67cm

Step-by-step explanation:

We are given that

Current ,
I_1=5A


I_2=2.5 A


x_1=-2 cm


x_2=2 cm


d=x_2-x_1=2+2=4 cm

Let x is the distance between two wires

Magnetic field in the wire,
B=(2\mu_0I)/(4\pi r)

Where
(\mu_0)/(4\pi)=10^(-7)


r_1=x


r_2=4-x


B_1=B_2


(2\mu_0 I_1)/(4\pi r_1)=(2\mu_0I_2)/(4\pi r_2)


(I_1)/(r_1)=(I_2)/(r_2)


(5)/(x)=(2.5)/(4-x)


20-5x=2.5x


20=2.5x+5x=7.5x


x=(20)/(7.5)=2.67 cm

Distance of 5A wire from the point=-2+2.67=0.67 cm.

Hence, at x=0.67 cm the magnetic field is zero.

User Wilma
by
7.9k points

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