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Magnetic Field and Field Lines
Introduction
- Electricity’s Other Effects: Besides heating, electric current can also create magnetic effects. An electric current-carrying wire behaves like a magnet.
Activity 12.1
Experiment: Use a thick copper wire in an electric circuit.
- Place a small compass near the wire.
- Pass current through the circuit.
- Observe the compass needle deflecting, indicating a magnetic effect.
Key Takeaway
- Connection: Electricity and magnetism are linked. Electric current produces a magnetic effect.
Hans Christian Oersted
- Discovery: In 1820, Oersted discovered that a compass needle deflects near a current-carrying wire, showing the relationship between electricity and magnetism.
- Legacy: His work led to technologies like radio, television, and fiber optics. The unit of magnetic field strength is named “oersted” in his honor.
Magnetic Field and Field Lines
Basics
- Compass Needle: A small bar magnet. Points north (north pole) and south (south pole). Like poles repel; unlike poles attract.
Activity 12.2
Visualizing Magnetic Fields: Use a bar magnet and iron filings on a white paper.
- Sprinkle filings around the magnet.
- Tap the board gently.
- Observe the pattern formed by filings, showing the magnetic field lines.
Explanation
- Magnetic Field: The region around a magnet where its force is felt.
- Field Lines: Represent the magnetic field; filings align along these lines.
Drawing Field Lines
Activity 12.3:
Use a compass and bar magnet on paper.
- Mark the magnet’s boundary.
- Place compass near the north pole of the magnet.
- Mark needle positions and move step by step from north to south pole.
- Join points to draw field lines. These lines represent the magnetic field around the magnet.
Properties of Magnetic Field Lines
- Direction: Field lines emerge from the north pole and merge at the south pole.
- Inside Magnet: Lines go from south pole to north pole, forming closed curves.
- Strength: Closer lines indicate a stronger field.
- No Intersection: Field lines never cross; a compass needle can’t point in two directions at once.
Magnetic Field Due to a Current-Carrying Conductor
Activity 12.4
- Experiment: To see the magnetic field around a wire:
- Use a straight copper wire, batteries, and a key.
- Place the wire over a compass needle.
- Observe the needle’s deflection when the current flows.
- Observation:
- If current flows north to south, the compass needle moves east.
- If current flows south to north, the compass needle moves west.
- This shows the magnetic field direction changes with current direction.
Magnetic Field Around a Straight Conductor
- Experiment:
- Use a thick copper wire, battery, rheostat, ammeter, and a cardboard.
- Pass the wire through the cardboard.
- Sprinkle iron filings on the cardboard.
- Pass current through the wire.
- Observation:
- Iron filings form concentric circles around the wire.
- These circles represent magnetic field lines.
- The direction of the magnetic field can be found using a compass.
- Effects of Changing Current and Distance:
- Increasing current increases needle deflection.
- Moving the compass away decreases needle deflection.
- Magnetic field strength decreases with distance from the wire.
Right-Hand Thumb Rule
- How to Find Magnetic Field Direction:
- Hold the wire in your right hand with thumb pointing in the current direction.
- Fingers curl in the direction of magnetic field lines.
- This rule helps to visualize the magnetic field direction.
Example 12.1
- Problem: Current flows from east to west in a horizontal power line.
- Solution:
- Using the right-hand thumb rule, the magnetic field below the wire turns clockwise, and above it, anti-clockwise.
Magnetic Field Due to a Circular Loop
Circular Loop Magnetic Field
- Observation:
- Concentric circles of the magnetic field lines become straight at the loop’s center.
- Every part of the loop contributes to the magnetic field in the same direction at the center.
- Effect of Turns:
- Magnetic field strength increases with more turns in the loop.
- For a coil with n turns, the field is n times stronger than a single turn.
Activity 12.6
Experiment:
- Insert a circular coil through a cardboard.
- Connect the coil to a battery, key, and rheostat.
- Sprinkle iron filings on the cardboard.
- Observe the pattern when current flows.
Magnetic Field Due to a Solenoid
Solenoid Magnetic Field
- Description:
- A solenoid is a coil of many circular turns.
- The magnetic field pattern is similar to a bar magnet.
- One end acts as the north pole, the other as the south pole.
- The magnetic field inside the solenoid is uniform and strong.
- Usage:
- A strong solenoid field can magnetize materials like soft iron, forming an electromagnet.
Force on a Current-Carrying Conductor in a Magnetic Field
- Magnetic Fields and Forces: A current-carrying conductor produces a magnetic field, which exerts a force on nearby magnets. According to Ampere, magnets also exert an equal and opposite force on the conductor.
Activity 12.7
Experiment:
- Suspend a small aluminum rod (AB) horizontally using wires.
- Place it between the poles of a horse-shoe magnet (north pole below, south pole above).
- Connect the rod in series with a battery, key, and rheostat.
- Pass current through the rod from end B to A.
- Observation: The rod moves left.
- Reverse the current direction; the rod moves right.
Key Observations
- Force Direction: The direction of force on the rod depends on the current direction and magnetic field direction.
- Force Magnitude: The force is strongest when the current is perpendicular to the magnetic field.
Fleming’s Left-Hand Rule
- Finding Force Direction:
- Stretch thumb, forefinger, and middle finger of the left hand perpendicular to each other.
- First finger points in the direction of the magnetic field.
- Second finger points in the direction of the current.
- Thumb points in the direction of the force or motion.
Applications
- Devices: Electric motors, generators, loudspeakers, microphones, and measuring instruments use this principle.
Example 12.2
- Problem: An electron enters a magnetic field at right angles. Determine the force direction.
- Solution: Using Fleming’s left-hand rule, the force direction is into the page.
More to Know: Magnetism in Medicine
- Magnetic Fields in the Body: Nerve cells produce weak magnetic fields when they carry electric impulses. Significant magnetic fields are produced in the heart and brain.
- MRI: Magnetic fields are used in Magnetic Resonance Imaging (MRI) to create images of body parts for medical diagnosis.
Domestic Electric Circuits
Main Supply
- Source: Electricity comes to our homes through overhead poles or underground cables.
- Wires:
- Live Wire: Red insulation, also called positive.
- Neutral Wire: Black insulation, also called negative.
- Voltage: The potential difference between live and neutral wires is 220 V in India.
Meter-Board and Circuits
- Meter-Board:
- Wires pass through an electricity meter and a main fuse.
- Connected to line wires in the house via a main switch.
- Circuits:
- Two types:
- 15 A for high-power appliances (geysers, air coolers).
- 5 A for low-power appliances (bulbs, fans).
- Two types:
Earth Wire
- Insulation: Green color.
- Connection: Linked to a metal plate in the earth.
- Purpose: Safety for metallic appliances (toasters, refrigerators) to prevent electric shock by providing a low-resistance path for current leakage.
Domestic Circuit Diagram
- Appliances: Connected across live and neutral wires.
- Switches: Each appliance has its own switch.
- Parallel Connection: Ensures equal potential difference for all appliances.
Electric Fuse
- Function: Prevents damage due to overloading by breaking the circuit when current is too high.
- Overloading Causes:
- Short-circuiting: Live wire touches neutral wire.
- High supply voltage.
- Too many appliances connected to one socket.
- Action: Fuse melts due to Joule heating, stopping the current flow and protecting the circuit.
Chapter Summary:
- A compass needle is a small magnet.
- One end points north (north pole).
- The other end points south (south pole).
- A magnetic field exists around a magnet.
- It is the region where the magnet’s force can be detected.
- Field lines represent a magnetic field.
- A field line shows the path a free north pole would move along.
- The direction of the magnetic field at a point is the direction a north pole would take.
- Field lines are closer where the magnetic field is stronger.
- A metallic wire carrying an electric current has a magnetic field.
- The field lines form concentric circles.
- The direction of the field is given by the right-hand rule.
- The magnetic field around a conductor depends on its shape.
- A solenoid’s magnetic field is like that of a bar magnet.
- An electromagnet has a soft iron core wrapped with insulated copper wire.
- A current-carrying conductor in a magnetic field experiences a force.
- If the current and field are perpendicular, the force is also perpendicular.
- This is explained by Fleming’s left-hand rule.
- In houses, we receive AC power of 220 V at 50 Hz.
- Red insulation wire: live wire.
- Black insulation wire: neutral wire.
- Potential difference between live and neutral is 220 V.
- Green insulation wire: earth wire, connected to a metal body in the earth for safety.
- A fuse is a crucial safety device.
- Protects circuits from short-circuiting or overloading.