A rectangular loop of dimensions e=0.1m and w=0.05m moves with a constant velocity v=3m/s away from a long wire that carries a current I=10A in the plane of the loop (see figure). The total resistance of the loop is R=0.002 Ohms. Find the magnitude of the current in the loop the instant the near side is a distancer=0.02m from the wire. For this problem, the velocity given is how "r" changes with time as the loop moves to the right. HINT: Find the flux in terms of r, take the derivative with respect to time to find the induced emf. Use d/dt [In(u)] = (1/u)(du/dr)(dr/dt), with dr/dt as the v given. R

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A rectangular loop of dimensions e=0.1m and w=0.05m moves with a constant velocity v=3m/s away from a long wire that carries a current I=10A in the plane of the loop (see figure). The total resistance of the
loop is R=0.002 Ohms. Find the magnitude of the current in the loop the instant the near side is a distance r=0.02m from the wire. For this problem, the velocity given is how "r" changes with time as the loop
moves to the right. HINT: Find the flux in terms of r, take the derivative with respect to time to find the induced emf. Use d/dt [In(u)] = (1/u)(du/dr)(dr/dt), with dr/dt as the v given.
A
R
Transcribed Image Text:A rectangular loop of dimensions e=0.1m and w=0.05m moves with a constant velocity v=3m/s away from a long wire that carries a current I=10A in the plane of the loop (see figure). The total resistance of the loop is R=0.002 Ohms. Find the magnitude of the current in the loop the instant the near side is a distance r=0.02m from the wire. For this problem, the velocity given is how "r" changes with time as the loop moves to the right. HINT: Find the flux in terms of r, take the derivative with respect to time to find the induced emf. Use d/dt [In(u)] = (1/u)(du/dr)(dr/dt), with dr/dt as the v given. A R
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