iLabs Forces

Forces / Electricity & magnetism lab

Electricity & magnetism

Electricity & magnetism lab

Drag charges and watch real traced field lines, push a magnet through a coil to induce current, and tune an R-L-C circuit to see its phasor diagram rotate.

The physics behind it

Formulas used in this lab

Electrostatics Class 12

Coulomb's law
F = k q1q2/r²,  k = 1/(4πε0) = 9 × 109 N·m²/C²
Electric field of a point charge
E = F/q = kQ/r²
Force on a charge in a field
F = qE
Electric potential
V = kQ/r
Superposition
E adds as vectors; V adds as plain numbers
Field lines
leave positive charges, end on negative charges, never cross, and are closer together where the field is stronger

Electromagnetic induction Class 12

Magnetic flux
Φ = BA cosθ
Faraday's law
ε = −N dΦ/dt
Lenz's law
the induced current opposes the change in flux that produces it (the minus sign)
Induced current
I = ε/R
Motional emf
ε = Blv
In the lab
a faster or larger oscillation, or more turns N, gives a larger emf

AC circuit (series L-C-R) Class 12

Reactances
XL = ωL = 2πfL,  XC = 1/(ωC) = 1/(2πfC)
Impedance
Z = √(R² + (XL − XC)²)
Current amplitude
I0 = V0/Z
Phase angle
tanφ = (XL − XC)/R; the current lags if XL > XC, leads if XC > XL
Resonance
XL = XC,  f0 = 1/(2π√(LC)),  Z = R (minimum)
RMS values and power
Vrms = V0/√2,  Pavg = VrmsIrms cosφ,  cosφ = R/Z