Question

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

Answer 1

Answer:

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

            $\frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R_1}$$\frac{1}{R_{eq}} = \frac{R_1 + R}{R \ R_1}$

             

              R_{eq} = $\frac{R \ R_1}{R + R_1}$

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

              ⅓ (R₁ + R) = R₁

              R = 3R₁ -R₁ = 2 R₁

              R = 2 500

              R = 1000 ohm