In Fig. 29-44 point is at distance on the perpendicular bisector of a straight wire of length . carrying current. (Note that the wire is not long.) What is the magnitude of the magnetic field at due to i?
The magnitude of the magnetic field at due to i is
Use the formula of Biot-Savarts law to find the magnitude of the field at due to i
According to Bio-Savarts law
If r makes an angle with l then
Integrating an equation of Bio-Savarts law
Solve further as:
Therefore, the magnitude of the magnetic field at due to i is
In Figure 29-46 two concentric circular loops of wire carrying current in the same direction lie in the same plane. Loop 1 has radius and carries . Loop 2 has radius and carries . Loop 2 is to be rotated about a diameter while the net magnetic field set up by the two loops at their common center is measured. Through what angle must loop 2 be rotated so that the magnitude of that net field is ?
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