Question

1. (a) if the resistance is halved and the voltage is not changed, what will happen to the current in a resistive circuit?

Explanation:

Step1: Recall Ohm's Law

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

Step2: Analyze the change in resistance

Let the initial resistance be \( R_1 = R \) and the new resistance be \( R_2=\frac{R}{2} \). The voltage \( V \) remains constant.

Step3: Calculate initial and new current

Initial current \( I_1 = \frac{V}{R_1}=\frac{V}{R} \).
New current \( I_2=\frac{V}{R_2}=\frac{V}{\frac{R}{2}}=\frac{2V}{R} \).

Step4: Compare \( I_1 \) and \( I_2 \)

We can see that \( I_2 = 2I_1 \), so the current doubles.

Answer:

The current will double.