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How does a parallel circuit change when a branch is added?
The total resistance increases, so the current in the circuit decreases.
The total resistance decreases, so the current in the circuit increases.
The total resistance increases, so bulbs shine at a lower brightness.
The total resistance decreases, so bulbs shine at a higher brightness.
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The correct choice is:
"The total resistance decreases, so the current in the circuit increases."
Explanation: adding another branch in parallel adds another path for current, so 1/R_total = Σ(1/R_i) increases and R_total falls. For a fixed supply voltage V, I_total = V/R_total therefore increases. (For an ideal voltage source the voltage across each parallel branch — and thus the brightness of each bulb — does not change. With a non‑ideal battery, increased total current can drop the terminal voltage and dim the bulbs slightly.)
"The total resistance decreases, so the current in the circuit increases."
Explanation: adding another branch in parallel adds another path for current, so 1/R_total = Σ(1/R_i) increases and R_total falls. For a fixed supply voltage V, I_total = V/R_total therefore increases. (For an ideal voltage source the voltage across each parallel branch — and thus the brightness of each bulb — does not change. With a non‑ideal battery, increased total current can drop the terminal voltage and dim the bulbs slightly.)
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