Flux and Induced Voltage

Changing Flux Induces Voltage

Changing magnetic flux induces voltage, so the voltage magnitude comes from flux change divided by the time interval in this finite ledger. The 12 weber change over 3 seconds is an ideal average-induction case; real coils add turns, resistance, geometry, waveform shape, meter bandwidth, and measurement uncertainty.

The induced voltage cites before and after flux sources. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Changing source-bound flux induces voltage

Flux changes from 2 to 14 webers, so the change is 12 webers.

ΔΦ=14  −  2=12 Wb\Delta\Phi=14\;-\;2=12\ \mathrm{Wb}
Induced emfChanging source-bound flux sets voltage.B=1 TA=2 m^2Phi=2 WbB=7 TA=2 m^2Phi=14 WbV=4 Vopposes increase

Voltage is flux change divided by time

Over 3 seconds, the induced voltage magnitude is 4 volts.

∣V∣=12/3=4 V|V|=12/3=4\ \mathrm{V}
Induced emfChanging source-bound flux sets voltage.B=1 TA=2 m^2Phi=2 WbB=7 TA=2 m^2Phi=14 WbV=4 Vopposes increase