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patriot [66]
3 years ago
12

A 65-cm segment of conducting wire carries a current of 0.35

Physics
2 answers:
algol133 years ago
6 0
The intensity of the magnetic force exerted on the wire due to the presence of the magnetic field is given by
F=ILB \sin \theta
where
I is the current in the wire
L is the length of the wire
B is the magnetic field intensity
\theta is the angle between the direction of the wire and the magnetic field

In our problem, L=65 cm=0.65 m, I=0.35 A and B=1.24 T. The force on the wire is F=0.26 N, therefore we can rearrange the equation to find the sine of the angle:
\sin \theta= \frac{F}{ILB}= \frac{0.26 N}{(0.35 A)(0.65 m)(1.24 T)}=0.922

and so, the angle is
\theta=\arcsin(0.921)=67.1^{\circ}
jeka943 years ago
6 0

The angle between the wire segment and the magnetic field is about 67°

\texttt{ }

<h3>Further explanation</h3>

<em>Let's recall </em><em>magnetic force on conducting wire</em><em> as follows:</em>

\boxed{F = B I L \sin \theta}

<em>where:</em>

<em>F = magnetic force ( N )</em>

<em>B = magnetic field strength ( T )</em>

<em>I = current ( A )</em>

<em>L = length of wire ( m )</em>

<em>θ = angle between magnetic field and the wire segment</em>

Let's tackle the problem now !

\texttt{ }

<u>Given:</u>

length of wire = L = 65 cm = 0.65 m

current = I = 0.35 A

magnetic field strength = B = 1.24 T

magnitude of force = F = 0.26 N

<u>Asked:</u>

angle between magnetic field and the wire segment = θ = ?

<u>Solution:</u>

F = B I L \sin \theta

0.26 = 1.24 \times 0.35 \times 0.65 \times \sin \theta

\sin \theta = \frac{200}{217}

\theta = \sin^{-1} (\frac{200}{217})

\boxed{\theta \approx 67^o}

\texttt{ }

<h3>Conclusion:</h3>

The angle between the wire segment and the magnetic field is about 67°

\texttt{ }

<h3>Learn more</h3>
  • Temporary and Permanent Magnet : brainly.com/question/9966993
  • The three resistors : brainly.com/question/9503202
  • A series circuit : brainly.com/question/1518810
  • Compare and contrast a series and parallel circuit : brainly.com/question/539204

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Physics

Chapter: Magnetic Field

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