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Chapter 29: Q. 5 (page 829)

What is the current direction in the wire of FIGURE Q29.5? Explain.

Short Answer

Expert verified

The current direction will be downward.

Step by step solution

01

Given information

We have given,

a current carrying wire producing the magnetic field around it.

We have to find the direction of current in wire.

02

Simplify

From the diagram, here the cross sign indicates the magnetic field inward the paper and the dot sign indicts the magnetic field outward the paper.

Now by using right hand thumb rule curl the field in the direction of magnetic field and the thumb will show the direction of current which is downward.

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Most popular questions from this chapter

The wire is broken on the right side of the circuit in FIGURE Q28.3. What is the potential difference $V_{1} - V_{2}$ between points $1 and 2$ ? Explain.

A long, hollow wire has inner radius $R_{1}$ and outer radius localid="1649505313415" $R_{2}$ . The wire carries current I uniformly distributed across the area of the wire. Use Ampère’s law to find an expression for the magnetic field strength in the three regions $0 \leq r \leq R_{1}, R_{1} \leq r \leq R_{2} a n d R_{2} \leq r$ .

A proton in a cyclotron gains $∆ k = 2 e ∆ v$ of kinetic energy per revolution, where $∆ v$ is the potential between the dees. Although the energy gain comes in small pulses, the proton makes so many revolutions that it is reasonable to model the energy as increasing at the constant rate $p = dK / dt = ∆ K / T$ , where $T$ is the period of the cyclotron motion. This is power input because it is a rate of increase of energy.

a. Find an expression for $r (t)$ , the radius of a proton's orbit in a cyclotron, in terms of $m, e, B, P, a n d t$ . Assume that $r = 0$ at $t = 0$ .

Hint:Start by finding an expression for the proton's kinetic energy in terms of $r$ .

b. A relatively small cyclotron is $2.0 m$ in diameter, uses a $0.55 T$ magnetic field, and has a $400 V$ potential difference between the dees. What is the power input to a proton, in $W$ ?

c. How long does it take a proton to spiral from the center out to the edge?

The two 10-cm-long parallel wires in FIGURE EX29.34 are separated by 5.0 mm. For what value of the resistor R will the force between the two wires be 5.4 * 10-5 N?

Points 1 and 2 in FIGURE EX 29.2 are the same distance from the wires as the point where $B = 2.0 mT$ . What are the strength and direction of $\vec{B}$ at points 1 and 2 ?

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