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
[tex]\frac{1}{R_{eq}} = \frac{1}{R} + \frac{1}{R_1}[/tex][tex]\frac{1}{R_{eq}} = \frac{R_1 + R}{R \ R_1}[/tex]
R_{eq} = [tex]\frac{R \ R_1}{R + R_1}[/tex]
R / 3 = \frac{R \ R_1}{R + R_1}
⅓ (R₁ + R) = R₁
R = 3R₁ -R₁ = 2 R₁
R = 2 500
R = 1000 ohm
