Each of the batteries shown in figure has an emf equal to 5 V. Show that the magnetic field B at the point P is zero for any set of values of the resistances.
Figure
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Explanation:
To show: The magnetic field B at the point P is zero for any set of values of the resistances.
We can see that the current in the circuit is zero by applying the Kirchhoff voltage theorem.
Total current in the loop is equal to zero
That means
Current I = 0
As the magnetic field is always proportional to the current which flows in the circuit,
Total magnetic field at the point P = 0
Field at point P is independent from the values of the circuit resistors.
Hence proved that the magnetic field B at the point P is zero for any set of values of the resistances.
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