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Question

A \( 20 \, \text{V} \) battery with negligible internal resistance is connected to a \( 5 \, \Omega \)
and \( 15 \, \Omega \) resistor in series. What is the power dissipated in the \( 15 \, \Omega \)
resistor?

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Explanation

**EMF ε** is work done by non-electrostatic forces per unit charge, terminal voltage V = ε - I r, r internal resistance (Ω), I current (A). When external R = r, total resistance 2r, current I = ε/2r, power in external R is I²R = ε²/4r, total power ε²/2r, so half power dissipated externally, half internally. Total resistance: R = 5 + 15 = 20 Ω . Current: I = (V/R) = (20/20) = 1 A . Power: P = I² R = 1² × 15 = 15 W . Applying I = n e A v_d, R = ρ l/A, R_t = R₀[1+αΔT], Kirchhoff's

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