Two long parallel wires Pand Q are held perpendicular to the plane of

1.	Two long parallel wires Pand Q are held perpendicular to the plane of the paper at a separationof 5 m. If P and Q carry currents of 2.5 A and 5magnetic field at a point mid-way between P and Q is4.A respectively in the same direction, then the
Answer» Mangetic field B due to a current carrying conductor at a distance d from it is given by = Mu I / 2π d I = current Mu = permeability in the medium (vacuum) Suppose P is to the left of Q. Midpoint is at d = 5/2 m = 2.5 m If we take the wire P, direction of B due to P at midpoint between wires is upwards on the plane of paper. I assume that the current is coming out of plane of paper. Its strength is B = 4 π * 10^-7 * 2.5 / 2 * π * 2.5 = 2 * 10^-7 Tesla, upwards If we take the wire Q, direction of B due to Q will be downwards on the plane of paper. B = 4 π * 10^-7 * 5 / 2 * π * 2.5 = 4 * 10^-7 Tesla, downwards Resultant Magnetic field is : 4 * 10^-7 downwards

Two long parallel wires Pand Q are held perpendicular to the plane of the paper at a separationof 5 m. If P and Q carry currents of 2.5 A and 5magnetic field at a point mid-way between P and Q is4.A respectively in the same direction, then the

Answer»

Mangetic field B due to a current carrying conductor at a distance d from it is given by = Mu I / 2π d I = current Mu = permeability in the medium (vacuum)

Suppose P is to the left of Q. Midpoint is at d = 5/2 m = 2.5 m

If we take the wire P, direction of B due to P at midpoint between wires is upwards on the plane of paper. I assume that the current is coming out of plane of paper. Its strength is

B = 4 π * 10^-7 * 2.5 / 2 * π * 2.5 = 2 * 10^-7 Tesla, upwards

If we take the wire Q, direction of B due to Q will be downwards on the plane of paper.

B = 4 π * 10^-7 * 5 / 2 * π * 2.5 = 4 * 10^-7 Tesla, downwards

Resultant Magnetic field is : 4 * 10^-7 downwards

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