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Chapter 26: Problem 9

Do currents in the same direction attract or repel? Explain.

Short Answer

Expert verified
Yes, currents flowing in the same direction do create an attractive force between them. This is due to the interaction of their magnetic fields, which align and overlap when the currents flow in the same direction, leading to attraction.

Step by step solution

01

Principle of Electromagnetism

According to the principle of electromagnetism, electric currents produce a magnetic field around them. When we have two parallel wires carrying currents, each wire produces a magnetic field that interacts with the other.
02

Directional Effect

The direction of the current in each wire determines how the magnetic fields interact. If the currents flow in the same direction, then the magnetic fields interact in such a way that the wires pull towards each other. This is an attractive force.
03

Conceptual Explanation

The attractive force can be explained in terms of magnetic field lines. Since the two wires carry currents in the same direction, their magnetic fields line up in the same direction, causing an overlap. This overlap results in an attractive force between the wires.

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Most popular questions from this chapter

You have \(10 \mathrm{m}\) of 0.50 -mm-diameter copper wire and a battery capable of passing 15 A through the wire. What magnetic field strengths could you obtain (a) inside a 2.0 -cm-diameter solenoid wound with the wire as closely spaced as possible and (b) at the center of a single circular loop made from the wire?

Find (a) the minimum magnetic field needed to exert a \(5.4-\mathrm{fN}\) force on an electron moving at \(21 \mathrm{Mm} / \mathrm{s}\) and (b) the field strength required if the field were at \(45^{\circ}\) to the electron's velocity.

A solenoid used in a plasma physics experiment is \(10 \mathrm{cm}\) in diameter, is \(1.0 \mathrm{m}\) long, and carries a \(35-\mathrm{A}\) current to produce a \(100-\mathrm{mT}\) magnetic field. (a) How many turns are in the solenoid? (b) If the solenoid resistance is \(2.7 \Omega,\) how much power does it dissipate?

A single-turn wire loop \(10 \mathrm{cm}\) in diameter carries a 12 - A current. It experiences a \(0.015 \mathrm{N} \cdot \mathrm{m}\) torque when the normal to the loop plane makes a \(25^{\circ}\) angle with a uniform magnetic field. Find the magnetic field strength.

A rectangular copper strip measures \(1.0 \mathrm{mm}\) in the direction of a uniform 2.4 -T magnetic field. When the strip carries a 6.8 -A current perpendicular to the field, a 1.2 - \(\mu\) V Hall potential develops across the strip. Find the number density of free electrons in the copper.
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