Current through a branch in a parallel circuit equals what expression?

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Multiple Choice

Current through a branch in a parallel circuit equals what expression?

Explanation:
Current through a branch in a parallel circuit depends on the voltage across that branch and its resistance. In parallel, each branch has the same voltage as the source, so the current through a branch follows Ohm’s law: I_branch = V_branch / R_branch. With V_branch equal to the supply voltage V, this becomes I_branch = V / R_branch. This matches how current increases with voltage and decreases with resistance. The other expressions would give the wrong dependence or units, so they don’t describe the current in a branch correctly.

Current through a branch in a parallel circuit depends on the voltage across that branch and its resistance. In parallel, each branch has the same voltage as the source, so the current through a branch follows Ohm’s law: I_branch = V_branch / R_branch. With V_branch equal to the supply voltage V, this becomes I_branch = V / R_branch. This matches how current increases with voltage and decreases with resistance. The other expressions would give the wrong dependence or units, so they don’t describe the current in a branch correctly.

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