A current element of length dl and carrying current I in +z direction is placed at (.1,1,0.) . Let magnetic field at origin be overset arrow B1 and at point (.2,2,0.) be overset arrow B2 , then which of the following is correct?

Question

A current element of length dl and carrying current I in +z direction is placed at (.1,1,0.) . Let magnetic field at origin be overset arrow B1 and at point (.2,2,0.) be overset arrow B2 , then which of the following is correct? (A) | overset arrow B1|=| overset arrow B2| (B)  overset arrow B1= overset arrow B2 (C) | overset arrow B1|=|2 overset arrow B2| (D)  overset arrow B1=-2 overset arrow B2

Tardigrade Admin · Accepted Answer

Magnitude of magnetic field will be same for both the points as they are located at equal distance from the wire. But the direction of magnetic field can be determined by right hand thumb rule.

Q. A current element of length $d l$ and carrying current $I$ in $+ z$ direction is placed at $(1, 1, 0)$ . Let magnetic field at origin be $B_{1} \to$ and at point $(2, 2, 0)$ be $B_{2}, \to$ then which of the following is correct?

$∣ ∣ B_{1} \to ∣ ∣ = ∣ ∣ B_{2} \to ∣ ∣$

$B_{1} \to = B_{2} \to$

$∣ ∣ B_{1} \to ∣ ∣ = ∣ ∣ 2 B_{2} \to ∣ ∣$

$B_{1} \to = - 2 B_{2} \to$

Q. A current element of length dl and carrying current I in +z direction is placed at (1,1,0) . Let magnetic field at origin be B1​→​ and at point (2,2,0) be B2​,→​ then which of the following is correct?

∣∣​B1​→​∣∣​=∣∣​B2​→​∣∣​

B1​→​=B2​→​

∣∣​B1​→​∣∣​=∣∣​2B2​→​∣∣​

B1​→​=−2B2​→​

Q. A current element of length $d l$ and carrying current $I$ in $+ z$ direction is placed at $(1, 1, 0)$ . Let magnetic field at origin be $B_{1} \to$ and at point $(2, 2, 0)$ be $B_{2}, \to$ then which of the following is correct?

$∣ ∣ B_{1} \to ∣ ∣ = ∣ ∣ B_{2} \to ∣ ∣$

$B_{1} \to = B_{2} \to$

$∣ ∣ B_{1} \to ∣ ∣ = ∣ ∣ 2 B_{2} \to ∣ ∣$

$B_{1} \to = - 2 B_{2} \to$