Problem 1879
Question
The direction of mag. field lines close to a straight conductor carrying current will be (a) Along the length of the conductor (b) Radially outward (c) Circular in a plane perpendicular to the conductor (d) Helical
Step-by-Step Solution
Verified Answer
The direction of the magnetic field lines close to a straight conductor carrying current is (c) Circular in a plane perpendicular to the conductor, as determined by the right-hand rule for a straight conductor.
1Step 1: Right-Hand Rule for a Straight Conductor
To find the direction of the magnetic field around a straight conductor carrying current, use the right-hand rule. To apply the rule, put your right thumb in the direction of the current and curl your fingers around the wire. The direction in which your fingers curl is the direction of the magnetic field.
2Step 2: Analyze the Given Options
Now, we consider each of the given options and see if they match the result from the right-hand rule.
(a) Along the length of the conductor: The right-hand rule indicates that the magnetic field direction is circular around the wire, not along its length.
(b) Radially outward: The magnetic field direction from the right-hand rule is circular and not radially outward.
(c) Circular in a plane perpendicular to the conductor: This option matches the result obtained from the right-hand rule, where the magnetic field direction is circular around the wire, and the plane of the circles is perpendicular to the conductor.
(d) Helical: The magnetic field direction we found using the right-hand rule is not helical.
3Step 3: Choose the Correct Option
Based on the analysis of the given options, we conclude that the direction of the magnetic field lines close to a straight conductor carrying current is (c) Circular in a plane perpendicular to the conductor.
Key Concepts
Right-Hand RuleStraight ConductorCircular Magnetic FieldDirection of Current
Right-Hand Rule
The right-hand rule is a simple yet essential technique in physics used to determine the direction of magnetic fields around current-carrying conductors. This rule involves using your right hand to visualize magnetic field lines. Here's how to use it:
1. Point your thumb in the direction of the electric current. This thumb needs to stretch straight along the line of current flow.
2. It is important to curl your fingers around the conductor. The way your fingers curve around indicates the direction of the circular magnetic field lines.
This rule is crucial because it consistently provides an accurate directional reference, which is easy to remember and apply in various situations involving magnetic fields.
1. Point your thumb in the direction of the electric current. This thumb needs to stretch straight along the line of current flow.
2. It is important to curl your fingers around the conductor. The way your fingers curve around indicates the direction of the circular magnetic field lines.
This rule is crucial because it consistently provides an accurate directional reference, which is easy to remember and apply in various situations involving magnetic fields.
Straight Conductor
In physics, a straight conductor is simply a wire or cable that carries electric current in a straight line. This setup has a significant role in determining the pattern of the surrounding magnetic field.
When electric current flows through this conductor, it generates a magnetic field. The peculiar feature of this field is that it doesn't travel in a straight line like the current. Instead, it forms circular patterns specific to how the right-hand rule is applied.
This phenomenon highlights the interconnectedness of electricity and magnetism and provides tangible proof of the presence of invisible magnetic fields.
When electric current flows through this conductor, it generates a magnetic field. The peculiar feature of this field is that it doesn't travel in a straight line like the current. Instead, it forms circular patterns specific to how the right-hand rule is applied.
This phenomenon highlights the interconnectedness of electricity and magnetism and provides tangible proof of the presence of invisible magnetic fields.
Circular Magnetic Field
A circular magnetic field is a unique pattern generated around a straight conductor that carries current. Applying the right-hand rule helps to understand and visualize this field's shape. When the current flows, the magnetic field lines form closed circular loops around the conductor.
These loops are in a plane perpendicular to the wire, meaning their orientation forms a series of "rings" around it. This circular magnetic pattern is vital in electrical engineering and physics as it underpins the design and function of many devices, including inductors and transformers.
Such a field's existence results from the nature of electromagnetism, where moving charged particles, such as current in a wire, inherently produce magnetic effects.
These loops are in a plane perpendicular to the wire, meaning their orientation forms a series of "rings" around it. This circular magnetic pattern is vital in electrical engineering and physics as it underpins the design and function of many devices, including inductors and transformers.
Such a field's existence results from the nature of electromagnetism, where moving charged particles, such as current in a wire, inherently produce magnetic effects.
Direction of Current
The direction of current refers to the flow of electric charge through a conductor. In a simple setup like a straight wire, the current direction is from the positive to the negative terminal. Understanding the current's direction is a prerequisite to applying the right-hand rule.
In conventional current flow, positive charge carriers move. But in real-world terms, negative electrons are the ones physically moving. This means what we conventionally consider as the direction of current is opposite to the actual electron flow.
This concept of direction becomes essential when determining the resulting magnetic field pattern, as knowing where the current is headed allows us to predict and accurately apply the right-hand rule to ascertain the magnetic field lines.
In conventional current flow, positive charge carriers move. But in real-world terms, negative electrons are the ones physically moving. This means what we conventionally consider as the direction of current is opposite to the actual electron flow.
This concept of direction becomes essential when determining the resulting magnetic field pattern, as knowing where the current is headed allows us to predict and accurately apply the right-hand rule to ascertain the magnetic field lines.
Other exercises in this chapter
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