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Asked by Selvi Last Modified
Answer To find the magnitude of the net magnetic field at point O due to the two identical circular loops P and Q, we can use the superposition principle, which states that the total magnetic field at a point is the vector sum of the magnetic fields produced by individual current elements.
Since the loops are identical and carry equal currents, the magnetic fields produced by each loop at point O will have the same magnitude but opposite directions due to the currents flowing in opposite directions.
Therefore, the net magnetic field at point O is the difference between the magnetic fields produced by the two loops:
Bnet=BP−BQBnet=BP−BQ
Where:
The formula for the magnetic field at the center of a circular loop is given by:
B=μ0I2rB=2rμ0I
Where:
Since both loops have the same radius and carry equal currents, we can simplify the expression for the net magnetic field:
Bnet=μ0I2r−μ0I2rBnet=2rμ0I−2rμ0I Bnet=0Bnet=0
Therefore, the magnitude of the net magnetic field at point O is zero.
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