Question

1. identify circuit a has twice the resistance of circuit b. the voltage is the same in each circuit. which circuit has the higher current?

Explanation:

Step1: Recall Ohm's Law

Ohm's Law is \(I=\frac{V}{R}\), where \(I\) is current, \(V\) is voltage, and \(R\) is resistance.

Step2: Analyze the relationship between current and resistance for the two circuits

Let the resistance of circuit \(B\) be \(R_B = R\), then the resistance of circuit \(A\) is \(R_A=2R\). The voltage \(V\) is the same for both circuits (\(V_A = V_B=V\)).
For circuit \(A\), \(I_A=\frac{V}{R_A}=\frac{V}{2R}\).
For circuit \(B\), \(I_B=\frac{V}{R_B}=\frac{V}{R}\).

Answer:

Circuit \(B\) has the higher current.