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Chapter 29: Q. 36 (page 832)

What is the net force (magnitude and direction) on each wire in FIGURE EX29.36?

Short Answer

Expert verified

The net force (magnitude and direction) on each wire is $B_{1} = 5 \times 10^{- 5} T \vec{F_{1}} = 25 \times 10^{- 5} N$

Step by step solution

01

Given Information

We need to find the net force on each wire given in the diagram.

02

Simplify

Consider the given values:

$I_{1} = 10 A$

$I_{2} = 10 A$

$I_{3} = 10 A$

$l = 0.5 m$

The net force (magnitude and direction) on each wire on the diagram is

03

Calculation

For l $\Rightarrow B a t 1$

$B_{1} = \frac{μ_{0}}{2 Ω} \times \frac{l_{2}}{(2 \times 10^{- 2})} - \frac{μ_{0}}{2 Ω} \times \frac{l_{2}}{(4 \times 10^{- 3})}$

$B_{1} = (2 \times 10^{- 7}) (\frac{10}{2 \times 10^{- 2}} - \frac{10}{4 \times 10^{- 2}})$

$B_{1} = 5 \times 10^{- 5} T$

role="math" localid="1649527850039">F1→=I1lB1

$\vec{F_{1}} = 10 \times 0.5 \times 5 \times 10^{- 5}$

$\vec{F_{1}} = 25 \times 10^{9 - 5}$

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Most popular questions from this chapter

Determine the magnetic field direction that causes the charged particles shown in FIGURE to experience the indicated magnetic force.

The element niobium, which is a metal, is a superconductor (i.e., no electrical resistance) at temperatures below $9 K$ . However, the superconductivity is destroyed if the magnetic field at the surface of the metal reaches or exceeds $0.10 T$ . What is the maximum current in a straight, $3 mm$ diameter superconducting niobium wire?

What are the strength and direction of the magnetic field at the center of the loop in $F I G U R E P 29.43$ ?

Although the evidence is weak, there has been concern in re-cent years over possible health effects from the magnetic fields generated by electric transmission lines. A typical high-voltage transmission line is $20$ $m$ above the ground and carries a $200 A$ current at a potential of $110 K V$ .

a. What is the magnetic field strength on the ground directly under such a transmission line?

b. What percentage is this of the earth’s magnetic field of $50 μ T$ ?

The element niobium, which is a metal, is a superconductor (i.e., no electrical resistance) at temperatures below $9 K$ . How-ever, the superconductivity is destroyed if the magnetic field at the surface of the metal reaches or exceeds $0.10 T$ . What is the maximum current in a straight, $3.0$ - $m m$ -diameter superconducting niobium wire?

See all solutions

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