Two circuits have the same voltage source. The first has resistance R with current I1, while the second has twice the resistance of the first with current I2. Find the ratio of the current (I1/I2) in the two circuits.
2
By Ohm’s law, \(I = \frac{V}{R}\); with the same voltage source, current is inversely proportional to resistance.
First circuit: \(I_1 = \frac{V}{R}\).
Second circuit (resistance 2R): \(I_2 = \frac{V}{2R}\).
Ratio: \(\frac{I_1}{I_2} = \frac{V/R}{V/(2R)} = 2\).
Hence, the answer is 2.
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