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Question

A \( 4 \, \Omega \) resistor dissipates \( 16 \, \text{W} \) of power. What is the voltage across it?

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Explanation

**Electrical power** P = V I = I² R = V²/R (W), energy E = P t = I² R t (J), heating effect Joule's law H = I² R t. When internal r equals external R, total resistance 2R, I = ε/2R, power in external = I²R = ε²/4R, total = ε²/2R, fraction external = 1/2, illustrating maximum power transfer when R = r. Power: P = (V²/R) . Rearrange: V = √(P R) . Substitute: V = √(16 × 4) = √(64) = 8 V . Applying I = n e A v_d, R = ρ l/A, R_t = R₀[1+αΔT], Kirchhoff's ΣI=0, ΣV=0,

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