Two very long, straight wires carrying, currents as shown in figure. Find all locations where the net magnetic field is zero.

Question

Two very long, straight wires carrying, currents as shown in figure. Find all locations where the net magnetic field is zero. (A) y=√2 x (B) y=x (C) y=-x (D) y=-(x / 2)

Tardigrade Admin · Accepted Answer

Along the dashed line, vecB1 and vecB2 are in opposite directions. If the line has slope -1.00, then r1=r2 and B1=B2. So, B text tot =0

Q. Two very long, straight wires carrying, currents as shown in figure. Find all locations where the net magnetic field is zero.

$y = 2 x$

$y = x$

$y = - x$

$y = - (x /2)$

Along the dashed line, $B_{1}$ and $B_{2}$ are in opposite directions. If the line has slope $- 1.00$ , then $r_{1} = r_{2}$ and $B_{1} = B_{2}$ . So, $B_{tot} = 0$

Q. Two very long, straight wires carrying, currents as shown in figure. Find all locations where the net magnetic field is zero.

y=2​x

y=x

y=−x

y=−(x/2)

Along the dashed line, B1​ and B2​ are in opposite directions. If the line has slope −1.00, then r1​=r2​ and B1​=B2​. So, Btot ​=0

$y = 2 x$

$y = x$

$y = - x$

$y = - (x /2)$

Along the dashed line, $B_{1}$ and $B_{2}$ are in opposite directions. If the line has slope $- 1.00$ , then $r_{1} = r_{2}$ and $B_{1} = B_{2}$ . So, $B_{tot} = 0$