In the circuit shown in the figure,the resistor R has a variable resistance.As R is decreased,what happens to the currents? A)I₁ remains unchanged and I₂ increases. B)I₁ decreases and I₂ decreases. C)I₁ decreases and I₂ increases. D)I₁ increases and I₂ decreases. E)I₁ increases and I₂ increases.

Question

Quizplus · Accepted Answer

As R is decreased, the total resistance of the circuit decreases. According to Ohm's Law, the current flowing through a circuit is directly proportional to the voltage and inversely proportional to the resistance. Therefore, as the resistance decreases, the current increases. Since R is in series with I₁, the current through this branch, I₁, decreases. On the other hand, I₂ is in parallel with R, so the current through this branch, I₂, increases. Therefore, the correct choice is C.

In the Circuit Shown in the Figure,the Resistor R Has