A long wire carrying 4.50 A of current makes two 90 ? bends, as shown in (Figure
ID: 1455225 • Letter: A
Question
A long wire carrying 4.50 A of current makes two 90 ? bends, as shown in (Figure 1) . The bent part of the wire passes through a uniform 0.236 Tmagnetic field directed as shown in the figure and confined to a limited region of space.
Problem 20.32 Part A A long wire carrying 4.50 A of current makes two 90° bends, as shown in (Figure 1). The bent part of the wire passes through a uniform 0.236 T magnetic field directed as shown in the figure and confined to a limited region of space. Find the magnitude of the force that the magnetic field exerts on the wire. Express your answer in newtons to three significant figures Submit My AnswersGive Up Part B Find the direction of the force that the magnetic field exerts on the wire. Figure of 1 Express your answer as a clockwise angle from the rightward direction to the direction force using three significant figures Magnetic-field region r- 30.0 cm . cm. 60.0 cm 4.50 A. Submit My AnswersGive Up Provide FeedbacK 60.0 cm-Explanation / Answer
The verticle portion of the wire feels a force of
Fv = Ilv × B = IlvBi = 4.50 A · 0.300 m · 0.236 Tˆi = 0.318 Nˆi
The two horizontal legs combined feel
Fh = Ilh × B = IlhBˆj = 4.50 A · 0.600 m · 0.236 Tˆj = 0.637 Nˆj .
This gives the total force a magnitude of
F = sqrtFv^2 + Fh^2 = 0.711 N
in the direction
= arctan ( 0.637N / 0.318N ) = 63.47degree
below the horizontal
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