La corriente en un circuito se triplica conectando una R1 = 500 Ω en paralelo con la resistencia R del circuito. Determinar R en ausencia de R1

R = 1000 ohm

Explanation:

In a circuit with a resistor R, the current is

           V = i R

            i₀ = V / R

a resistor R₁ is placed in parallel and the current is tripled i = 3 i₀

           V = i Req

            i = V / Req

           3i₀ = V / Req

we substitute

           3 (V / R) = V / Req

           3 / R = 1 / Req

           R = 3 Req

the equivalent resistance of the two resistors in parallel is

              R_{eq} =

              R / 3 = \frac{R \ R_1}{R + R_1}

              ⅓ (R₁ + R) = R₁

              R = 3R₁ -R₁ = 2 R₁

              R = 2 500

              R = 1000 ohm

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~mia