Two long parallel wires are at a distance apart. They carry steady equal currents flowing out of the plane of the paper, as shown. The variation of the magnetic field along the line is given by [2000]

Question

Two long parallel wires are at a distance $2 d$ apart. They carry steady equal currents flowing out of the plane of the paper, as shown. The variation of the magnetic field $B$ along the line $X X'$ is given by [2000]

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(2)

Here current is flowing out of the plane of the paper, so the magnetic field at points to the right of the wire will be upwards and to the left will be downwards. Let us consider certain points.

Point C (midpoint between A and B): The magnetic field at $C$ due to $A$ $({\vec{B}}_{C A})$ is in the upward direction, but the magnetic field at $C$ due to $B$ is in the downward direction. Hence the net field is zero.

Point E: Magnetic field due to $A$ is upward and magnetic field due to $B$ is downward, but $| {\vec{B}}_{E A} |$ $<$ $| {\vec{B}}_{E B} |$ .

$∴$ Net magnetic field is in the downward direction.

Point D: $| {\vec{B}}_{D A} |$ $>$ $| {\vec{B}}_{D B} |$ . Hence the net magnetic field is upwards. Similarly, other points can be considered.

Hence graph (2) satisfies these conditions.

Solution

Q.
Two long parallel wires are at a distance $2 d$ apart. They carry steady equal currents flowing out of the plane of the paper, as shown. The variation of the magnetic field $B$ along the line $X X'$ is given by [2000]

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Solution

Q. Two long parallel wires are at a distance 2d apart. They carry steady equal currents flowing out of the plane of the paper, as shown. The variation of the magnetic field B along the line XX' is given by [2000]

1

2

3

4

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Q.
Two long parallel wires are at a distance $2 d$ apart. They carry steady equal currents flowing out of the plane of the paper, as shown. The variation of the magnetic field $B$ along the line $X X'$ is given by [2000]