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The plane of a square loop of wire edge ...

The plane of a square loop of wire edge length `a = 0.200 m` is perpendicualr to the Earth's magnetic field at a point where `B = 15.0 muT`, as shown in . The total resistance of the loop and the wires connecting it to a sensitive ammeter is `0.50 Omega`. If the loop is suddenly collapsed by horizontal forces as shown, what is the total charge passing through the ammeter?

Text Solution

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Area `A = a^(2) = (0.20)^(2) = 0.04 m^(2)`
`phi = AB = 15 xx 10^(-6) xx 0.04 = 6 xx 10^(-7) Wb`
`q = (Delta phi)/(R ) = (6 xx 10^(-7))/(0.50) = 12 xx 10^(-7)C = 1.2 mu C`
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