P31_106.PDF

106. (Firstproblemof Cluster )

Combining Ohm’s and Faraday’s laws, the current magnitude is

i = |E R = BLv

=0 . 200 T, L =0 . 300 m and v =12 . 0 m/s. Reasoning

with Lenz’s law, the sense of the induced current is counterclockwise (to produce ﬁeld in its interior out

of the page, “ﬁghting” the increasing inward pointed ﬂux due to the applied ﬁeld).

(a) With R =5 . 00 Ω, this yields i =0 . 144 A.

(b) With R =7 . 00 Ω, we obtain i =0 . 103 A.

for this “one-loop” circuit, where the version of Faraday’s law expressed in Eq. 31-10 (often called

“motional emf”) has been used. Here, B =