Difficulty: Easy
Correct Answer: increases
Explanation:
Introduction / Context:
Current in a circuit depends on total resistance for a fixed source voltage. Removing a series element reduces total resistance, which in turn increases current according to Ohm's law. This qualitative question probes your grasp of that inverse relationship without requiring specific numbers.
Given Data / Assumptions:
Concept / Approach:
Total resistance for three in series is R_total(3) = R1 + R2 + R3. After removing one, R_total(2) = R1 + R2 (or similar). Since R_total(2) < R_total(3), Ohm’s law dictates I_new = V / R_total(2) > V / R_total(3) = I_old. The exact percentage change depends on the actual values, not necessarily “one-third.”
Step-by-Step Solution:
Verification / Alternative check:
Numeric example: Let R1 = R2 = R3 = 100 Ω. Initially R_total = 300 Ω, I_old = V/300. After removing one, R_total = 200 Ω, I_new = V/200 = 1.5 * I_old. That is an increase, not necessarily “by one-third.”
Why Other Options Are Wrong:
Common Pitfalls:
Final Answer:
increases
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