4. A squre coil of wire with 800 turns and size a 10.0 cm on each side, is held next to a long straight wire which carries a time varying current /(1) = 9x10'e-0.08t Amperes. Assume the center of the coil is 102.0 cm away from the wire and the coil and the wire are in the same plane. a) What is the value and direction of the B field, due to current in the straight wire, at the center of the coil (as a function of time)? b) Calculate the flux of this B-field through the coil (as a function of time). Assume the B field is uniform inside the coil, because coil is small and far from wire. c) Use the Faraday's law to determine the generated EMF (as a function of time) in the coil. d) If the resistance of the coil is R=20 2, what is the torque acting on the coil at time t ? e) What is the potential energy of the coil at time t ? f) Answer (d) and (e), if the coil is now at an angle of 0 with respect to vertical. Coil i(t)' a

Physics for Scientists and Engineers with Modern Physics
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ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
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Chapter29: Sources Of The Magnetic Field
Section: Chapter Questions
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Pp# 4: can you help me solve and understand this practice problem please(a-d)? A step by step explanation would be appreciated. Thank you!
Gogle board
4. A squre coil of wire with 800 turns and size a = 10.0 cm on each side, is held next to a long straight wire which
carries a time varying current I(t) = 9x10“ e-0.08t Amperes. Assume the center of the coil is 102.0 cm away from
the wire and the coil and the wire are in the same plane.
a) What is the value and direction of the B field, due to current in the straight wire, at the center of the coil (as
a function of time)?
b) Calculate the flux of this B-field through the coil (as a function of time). Assume the B field is uniform
inside the coil, because coil is small and far from wire,
c) Use the Faraday's law to determine the generated EMF (as a function of time) in the coil.
d) If the resistance of the coil is R=20 0. what is the torque acting on the coil at time t ?
e) What is the potential energy of the coil at time t?
f) Answer (d) and (e), if the coil is now at an angle of 0 with respect to vertical.
Coil
i(t)'
a
Transcribed Image Text:Gogle board 4. A squre coil of wire with 800 turns and size a = 10.0 cm on each side, is held next to a long straight wire which carries a time varying current I(t) = 9x10“ e-0.08t Amperes. Assume the center of the coil is 102.0 cm away from the wire and the coil and the wire are in the same plane. a) What is the value and direction of the B field, due to current in the straight wire, at the center of the coil (as a function of time)? b) Calculate the flux of this B-field through the coil (as a function of time). Assume the B field is uniform inside the coil, because coil is small and far from wire, c) Use the Faraday's law to determine the generated EMF (as a function of time) in the coil. d) If the resistance of the coil is R=20 0. what is the torque acting on the coil at time t ? e) What is the potential energy of the coil at time t? f) Answer (d) and (e), if the coil is now at an angle of 0 with respect to vertical. Coil i(t)' a
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