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Revise: Electrical Energy, Power and Heating Effect of Electric Current

EMF and circuits, batteries in series and parallel, electrical power, and Joule's law of heating.

Electromotive Force and Electric Circuits

V = ε − Ir.

ε=12V,I=2A,r=0.5Ω → V=11V.

Batteries in Series and in Parallel

Series: EMFs add. Parallel (identical): EMF unchanged, r_total=r/n.

Three 1.5V cells in series → 4.5V.

Electrical Energy and Electrical Power

P = VI = I²R = V²/R. E = Pt.

V=12V,I=3A,t=10s → P=36W, E=360J.

Joule's Law of Heating

H = I²Rt — heat grows with the square of current.

I=2A,R=10Ω,t=60s → H=2400J.

Applications of the Heating Effect of Current

R = V²/P — designs a heating element for a target power.

P=1000W,V=220V → R=48.4Ω.