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The relationship between input voltage and magnetic flux is fundamentally governed by Faraday’s Law of Electromagnetic Induction. Faraday’s Law states that a change in magnetic flux through a circuit induces an electromotive force (EMF) or voltage in the circuit. The relationship can be expressed mathematically as:
[ text{EMF} = -N frac{Delta Phi}{Delta t} ]
where EMF is the electromotive force (or voltage) induced, (N) is the number of turns in the coil through which the magnetic flux, (Phi), is changing, and (Delta t) is the time over which this change occurs. The negative sign indicates the direction of the induced EMF (as per Lenz’s Law) opposes the change in magnetic flux.
Thus, the input voltage induced in a coil or circuit is directly related to the rate of change of magnetic flux through that circuit. This principle is widely applied in the operation of electrical transformers, motors, and generators.
: c
Explanation: The input voltage is given constant, which results in the constant magnetic
flux. The magnetic flux is independent of the excitation