If the voltage to a circuit is doubled and the resistance is increased to three times the original value, what will be the final current?
• Ohm’s Law and the relationship between current (I), voltage (V), and resistance (R) • How changing voltage and resistance together affects current in a circuit • Proportional reasoning: comparing the new current to the original current
• Write Ohm’s Law for the original circuit, then for the new circuit using 2× the voltage and 3× the resistance. How do the two current expressions compare? • Treat the original current as 1 unit. After multiplying voltage by 2 and resistance by 3, what fraction of that 1 unit do you get? • Are voltage and resistance changes increasing or decreasing current overall? Which effect is stronger?
• Be sure you are using I = V / R correctly and not mixing up numerator and denominator. • Carefully apply the multipliers: new voltage = 2V, new resistance = 3R, then simplify the fraction for new current. • Compare the final expression for new current directly to the original current I = V / R before choosing an answer.
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