Voltage through space and time
Electricity and Magnetism
Level
5
In the \(xy\)-plane, there is a triangular loop of conducting wire with vertices at \((0\text{ m},0\text{ m}), (1\text{ m},0\text{ m}),\) and \((1\text{ m},1\text{ m})\). There is a magnetic flux density oriented perpendicular to the \(xy\)-plane which is described by the equation below: \[B = B_0 \sin\big(x^{2}+t\big),\] where the parameter \(t\) denotes time and \(B_0 = \SI[per-mode=symbol]{1}{\weber\per\meter\squared}\).
What is the magnitude (in volts) of the maximum voltage induced in the loop (to 3 decimal places)?
by
Steven Chase