Changing flux sets voltage size, while the sign of change sets polarity. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Small increase gives two volts

Flux goes from 2 Wb to 8 Wb, so change size 6 Wb over 3 s gives 2 V and polarity opposes the increase.

V=82/3=2V=|8 - 2|/3=2
Induced voltage scanBefore and after flux labels feed a checked voltage and polarity.B=1 TA=2 m^2Phi=2 WbB=4 TA=2 m^2Phi=8 WbV=2 Vopposes increase

Larger increase gives four volts

Flux goes from 2 Wb to 14 Wb, so change size 12 Wb over 3 s gives 4 V and polarity opposes the increase.

V=142/3=4V=|14 - 2|/3=4
Induced voltage scanBefore and after flux labels feed a checked voltage and polarity.B=1 TA=2 m^2Phi=2 WbB=7 TA=2 m^2Phi=14 WbV=4 Vopposes increase

Equal-size decrease keeps magnitude and flips polarity

Flux goes from 14 Wb to 2 Wb, so change size 12 Wb over 3 s gives 4 V and polarity opposes the decrease.

V=214/3=4V=|2 - 14|/3=4
Induced voltage scanBefore and after flux labels feed a checked voltage and polarity.B=7 TA=2 m^2Phi=14 WbB=1 TA=2 m^2Phi=2 WbV=4 Vopposes decrease