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(b) if the voltage is doubled and the resistance is not changed, what w…

Question

(b) if the voltage is doubled and the resistance 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 voltage

Let the initial voltage be \( V_1 \) and the new voltage be \( V_2 = 2V_1 \). The resistance \( R \) remains constant.

Step3: Calculate initial and new current

Initial current: \( I_1=\frac{V_1}{R} \)
New current: \( I_2 = \frac{V_2}{R}=\frac{2V_1}{R} = 2\times\frac{V_1}{R}=2I_1 \)

Answer:

The current will be doubled.