Laboratory Sliders
Set Parameters
4.0 s
0.50 T
1.50 m
Manual Position (θ)
0°
Faraday's Discovery
An electromotive force (EMF) is induced not by the presence of flux, but explicitly by its time rate of change. Notice how EMF peaks precisely when the flux graph crosses zero.
Physical Generator Loop
Magnetic Flux Window (ΦB vs t)
Induced electromotive force (EMF vs t)
Theoretical Formulations
Induced EMF acts as the negative first derivative of the magnetic flux function with respect to time.
ΦB
=
B
A
cos(θ)
EMF
=
-dΦB/dt
=
B
A
ω sin(θ)
Live Quantitative Tracking
System Constants
A = π · r² = 7.07 m²
ω = 2π / T = 1.57 rad/s
Current State Parameters
Angle (θ) = 0°
Time (t) = 0.00 s
Flux (ΦB)
=
3.54 Wb
Induced EMF
=
0.00 V