see the diagram:
B1 = magnetic field due to I1
B2 = magnetic field due to I2
Given: a = 0.62 cm = 0.0062 m
b = 0.43 cm = 0.0043 m
= net magnetic field along x-axis
= net magnetic field along y-axis
Assuming the direction of currents I1 and I2 is along +ve z-axis.
Magnetic field due to I1 in vector form =
Magnetic field due to I2 in vector form =
Therefore, net magnetic field along x is
net magnetic field along y-axis is
Now, using the given value of Bx,
------(i)
using the given value of By,
------(ii)
Now, solving the equations (i) and (ii):
I1 = -0.68 A. [answer]
I2 = +3.28 A [answer]
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 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-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=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 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=By i + By j at point A, whose position in the plane is also indicated. We will treat the currents algebraically: the current...
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...