Q. 115.0( 1 Vote )

# Two long, straight wires, each carrying a current of 5A, are placed along the x-and y-axis respectively. The currents point along the positive directions of the axes.Find the magnetic fields at the points (a) (1m, –1m), (b) (–1m, 1m) (c) (–1m, –1m) and (d) (1m, –1m).

Given:
Current in both the wires : I = 5 A. Wires 1 and 2 generate magnetic fields B1 and B2 respectively.
By right hand rule, direction of magnetic field in each quadrant due to wires 1 and is shown by X and O.
X : Field is going into the plane
O : Field is coming out of the plane.
Formula used:
By Ampere’s Law for a current carrying wire is Where,

B is the magnitude of magnetic field,

μ0 is the permeability of free space and μ0= 4π × 10-7 T mA-1 d is the distance between the current carrying wire and the required point.
(a) At (1m,1m)
As we can see from the diagram at (1,1) the magnetic fields due to wire 1 and 2 are in opposite direction. (X and O)
Hence, net magnetic field would be zero.
(b) At (-1m , 1m)
Here, magnetic field due to wire 1 and 2 would add up as direction of magnetic field is same. ( O and O)
Thus B = BX + BY
BX is the magnetic field due to wire on x axis
BY is the magnetic field due to wire on y axis B = 2× 10-6 T
This B would be along z-Axis.
(c) At (-1m,-1m)
As we can see from the diagram at (-1,-1) the magnetic fields due to wire 1 and 2 are in opposite direction. (O and X)
Hence, net magnetic field would be zero.
(d) At (1m,-1m)
Here, magnetic field due to wire 1 and 2 would add up as direction of magnetic field is same. ( X and X)
Thus B = BX + BY
BX is the magnetic field due to wire on x axis
BY is the magnetic field due to wire on y axis B = 2× 10-6 T
This B would be along negative z-axis.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Magnetic field due to current carrying straight wire37 mins  Magnetic field due to current carrying circular loop36 mins  Interactive Quiz on Magnetic field due to straight wire & circular loop41 mins  Gain Confidence on Magnetic Effects of Current with Questions41 mins  Equation of electric and magnetic field52 mins  Magnetic force on moving charge particle in magnetic field | Quiz32 mins  Magnetic force on moving charge particle in magnetic field44 mins  Superfast Revision of Potential & Potenial Energy (Theory + Interactive Quiz)47 mins  Few Applications of Gauss's law54 mins  10 Problems on related to Electric Field & Charges41 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 