A parabolic conducting wire y=x² moves with velocity V⃗=V₀î in a non-uniform magnetic field B⃗=B₀[1+(y/L)^β]k̂ as shown. V₀,B₀,L and β are positive. If Δφ is the potential difference between its ends, select the correct statements.

Question

G1 Physics · Accepted Answer

For a moving conductor, ε=∫(v⃗×B⃗)·dℓ⃗. Combine this with Ohm’s law and Lenz’s law where required. The result is A: |Δφ| remains the same if the parabolic wire is replaced by a straight wire, y = x initially, of length 2L .; B: |Δφ| is proportional to the length of the wire projected on the y-axis. 1; D: Δφ = B0V0 L for b = 2. 3.