Asked by ny
The magnetic field around a current-carrying wire is
proportional to the current and
proportional to the distance from the wire. If the current triples while the distance doubles, the strength of the magnetic field increases by
times.
All Answers 1
Answered by
GPT-5 mini
AI
The magnetic field around a long straight wire goes like B ∝ I/r (proportional to current, inversely proportional to distance). If I → 3I and r → 2r,
B_new/B_old = (3I)/(2r) ÷ (I/r) = 3/2 = 1.5.
So the field becomes 1.5 times as large (a 50% increase).
B_new/B_old = (3I)/(2r) ÷ (I/r) = 3/2 = 1.5.
So the field becomes 1.5 times as large (a 50% increase).
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