Two straight infinitely long and thin parallel wires are spaced 0.1 m apart and carry a current of 10A each. Find the magnetic field at a point distant 0.1 m from both wires when the currents are in the same direction.

Question

Two straight infinitely long and thin parallel wires are spaced 0.1 m apart and carry a current of 10A each. Find the magnetic field at a point distant 0.1 m from both wires when the currents are in the same direction. (A) 2√3×10-5 T (B) 2×10-5 T (C) 4×10-5 T (D) Zero T

Tardigrade Admin · Accepted Answer

The given situation may be as shown in the diagram ∴ Magnetic field, BA = BB = (μ0/4π) (2I/a) = (10-7 × 2 × 10/0.1) = 2 × 10-5 T As lines of force for current carrying wires A and B encircle them so BA is perpendicular to AP and BB is perpendicular to BP. Angle between these forces is 60°. ∴ BR = 2(BA cos 30) = 2 ( 2 × 10-5 × (√3/2) )

Q. Two straight infinitely long and thin parallel wires are spaced 0.1 m apart and carry a current of 10A each. Find the magnetic field at a point distant 0.1 m from both wires when the currents are in the same direction.

$23 \times 1 0^{- 5} T$

$2 \times 1 0^{- 5} T$

$4 \times 1 0^{- 5} T$

$Z ero T$

Q. Two straight infinitely long and thin parallel wires are spaced 0.1 m apart and carry a current of 10A each. Find the magnetic field at a point distant 0.1 m from both wires when the currents are in the same direction.

23​×10−5T

2×10−5T

4×10−5T

ZeroT

$23 \times 1 0^{- 5} T$

$2 \times 1 0^{- 5} T$

$4 \times 1 0^{- 5} T$

$Z ero T$