A varying current i(t) = t(14 – t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current produces a magnetic field B whose magnitude at a distance from the wire is B = Ho T. Furthermore, at the point P, B points away from the observer as shown in the figure. 2xr Wire loop C Rectangular region R Volt meter B x=0 P = (x, y) y H x=L Calculate the flux Þ(t), at time t, of B through a rectangle of dimensions L x H = 5 x 2 m whose top and bottom edges are parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are located in the same plane.
A varying current i(t) = t(14 – t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current produces a magnetic field B whose magnitude at a distance from the wire is B = Ho T. Furthermore, at the point P, B points away from the observer as shown in the figure. 2xr Wire loop C Rectangular region R Volt meter B x=0 P = (x, y) y H x=L Calculate the flux Þ(t), at time t, of B through a rectangle of dimensions L x H = 5 x 2 m whose top and bottom edges are parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are located in the same plane.
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This is just one question, it's just pretty long! I've been strugling w it for a while now. I need some help pls and thank you!
Transcribed Image Text:Use Faraday's Law to determine the voltage drop around the rectangular loop (the boundary of the rectangle) at time t = 5.
Assume Ho = 4 · 10−7 T · m/A.
(Use symbolic notation and fractions where needed.)
[ E. dr =
V
Transcribed Image Text:A varying current i(t) = t(14 – t) A (t in seconds) flows through a long straight wire that lies along the x-axis. The current
produces a magnetic field B whose magnitude at a distance - from the wire is B = "o T. Furthermore, at the point P, B points
away from the observer as shown in the figure.
2πr
Wire loop C
Rectangular
region R
Voltmeter
x=0
Φ(t) =
B
P = (x, y)
y
H
x=L
Calculate the flux Þ(t), at time t, of B through a rectangle of dimensions L × H = 5 × 2 m whose top and bottom edges are
parallel to the wire and whose bottom edge is located d = 0.5 m above the wire. Assume that the rectangle and the wire are
located in the same plane.
(Use symbolic notation and fractions where needed. Let I = i(t) and express your answer in terms of μ and I.)
T.m²
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