Resistances in parallel

The total resistance of a circuit of this type will be less than any individual resistance.

Calculations

Resistances

1 R_total = 1 R₁ + 1 R₂ + 1 R₃ + 1 R₄

Conductances

G_total = G₁ + G₂ + G₃ + G₄

Example

R₁ = 10Ω
R₂ = 20Ω
R₃ = 30Ω
R₄ = 40Ω

R_total
= 1 1 10 + 1 20 + 1 30 + 1 40
= 1 0.21 = 4.8Ω

Voltages & amperes

If we compare this circuit with the previous circuit (4 resistances in series instead of parallel), then this circuit has:

• A smaller magnetic effect from the generator
• A larger magnetic constructor

Because there’s less resistance, which essentially means:

• The generator has to do less effort, ie. supply a smaller voltage
• More energy stored in the magnetic field (a bigger magnetic field),
  because energy is used slower by the resistance