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Question

A \( 15 \, \text{V} \) battery with \( 1 \, \Omega \) internal resistance delivers a current of \( 2.5
\, \text{A} \) to a resistor. What is the resistance of the resistor?

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Explanation

**Potential difference drop** across resistor when current flows because charges lose potential energy qV = I² R t as heat, field E = V/l drives drift, maintaining current. At very high E, velocity saturation or heating changes τ, causing non-ohmic behaviour. Terminal voltage: V = ε - I r = 15 - 2.5 × 1 = 12.5 V . Resistance: R = (V/I) = (12.5/2.5) = 5 Ω . Applying I = n e A v_d, R = ρ l/A, R_t = R₀[1+αΔT], Kirchhoff's ΣI=0, ΣV=0, R_eq series/parallel, V = ε - I r and P = I²R, evaluation yields 5.0 Ω,

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