A square loop of wire with edge length a sits in a uniform magnetic field as shown in figure 2, where the magnitude of the magnetic field varies with time t according to B = Boe¬², В %3D where Bo and ) are constants. If the loop has resistance R, show that for small times t, the power dissipated by the loop is approximately given by a*B?(2A +w²)²t² P(t) = %3D R
A square loop of wire with edge length a sits in a uniform magnetic field as shown in figure 2, where the magnitude of the magnetic field varies with time t according to B = Boe¬², В %3D where Bo and ) are constants. If the loop has resistance R, show that for small times t, the power dissipated by the loop is approximately given by a*B?(2A +w²)²t² P(t) = %3D R
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Transcribed Image Text:S
B
Figure 2: A loop of current in a uniform magnetic field, where S is its vector area.
Transcribed Image Text:A square loop of wire with edge length a sits in a uniform magnetic field as shown in figure 2,
where the magnitude of the magnetic field varies with time t according to
В -
Boe-At2
where Bo and ) are constants. If the loop has resistance R, show that for small times t,
the power dissipated by the loop is approximately given by
a*B}(2A + w?)²t²
P(t) =
R
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