By right hand thumb rule the magnetic field due to the wires at A will be given as-
Now we know that the magnetic field due to an infinitely current carrying wire is given as
B = I/2r
Now the distance of A from both the wires is given as r = (a2 + b2)1/2 = 1.0373 cm
The angle made by the magnetic field from vertical will be for I2 and I1.
Now calculating the magnetic field in x-y direction we have;
Bx = -I1/2r x sin - I2/2r x sin
=> I1 + I2 = -Bx2r/sin .............(i)
By = I1/2r x cos - I2/2r x cos
=> I1 - I2 = By2r/cos ..............(ii)
From the above equations;
I1 = Byr/cos -Bxr/sin
I2 = -Byr/cos -Bxr/sin
Now from the triangle you can see tan = b/a => tan = 0.347
sin = 0.3278
cos = 0.945
Thus,
I1 = 5.567 A
I2 = 1.395 A
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents I1 and I2, which you need to find from a single measurement of the magnetic field B=Bxi + Byj at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I is positive...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents I1 and I2, which you need to find from a single measurement of the magnetic field B=Bxi + Byj at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I is positive...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents I1 and I2, which you need to find from a single measurement of the magnetic field B=Bxi + Byj at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I is positive...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents 11 and 12, which you need to find from a single measurement of the magnetic field B=Bx i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents 11 and 12, which you need to find from a single measurement of the magnetic field B=By i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents 11 and 12, which you need to find from a single measurement of the magnetic field B=Bx i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents I1 and I2, which you need to find from a single measurement of the magnetic field B=Bxi + Byj at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I is positive...
Two parallel long (infinite for our purposes) wires are oriented along the z-axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents 11 and 12, which you need to find from a single measurement of the magnetic field B=Bx i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I...
Two parallel long (Infinite for our purposes) wires are oriented along the z-axls. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents 11 and 12, which you need to find from a single measurement of the magnetic field B=BXİ + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current I Is...
Two parallel long (infinite for our purposes) wires are oriented along the z- axis. The figure below shows the (xy)-plane perpendicular to the wires, including the positions where the wires cross this plane. The wires carry some unknown electric currents 11 and 12, which you need to find from a single measurement of the magnetic field B=By i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current...