An infinitely long straight wire carries current I. A one-side-open rectangular conductor and a sliding connector C of length ℓ and resistance R lie in the same plane, as shown. The connector moves right with speed v. Neglect the resistance and self-inductance of the remaining conductor. Find the induced current as a function of separation r.

Question

G1 Physics · Accepted Answer

Use εₗ=-L(dI/dt), U=½LI², and for mutual induction ε₂=-M(dI₁/dt). Applying the stated geometry/circuit condition gives Image 2.