Draw a diagram to show the pattern of magnetic field lines on a horizontal sheet of paper due to a straight conductor passing through its centre and carrying current vertically upwards. Mark on it (i) the direction of current in the conductor and (ii) the corresponding magnetic field lines. State right hand thumb rule and check whether the directions marked by you are in accordance with this rule or not.
Diagram Description:
Imagine a horizontal sheet of paper with a straight current-carrying conductor passing through its center and coming vertically upward (out of the page). The magnetic field lines formed around this conductor are concentric circles lying on the plane of the paper.
To represent this diagrammatically:
- Use a dot (•) at the center to indicate that the current is directed upward (out of the page).
- Draw concentric circular arrows around the dot to represent the magnetic field lines.
- These circular arrows should be drawn in a counterclockwise direction.
Markings:
(i) Direction of current: Vertically upward (represented by a dot in the center of the sheet).
(ii) Magnetic field lines: Concentric circles drawn in counterclockwise direction around the conductor.
Right-Hand Thumb Rule:
If you hold a current-carrying conductor with your right hand such that your thumb points in the direction of the current, then the direction in which your fingers curl gives the direction of the magnetic field lines.
Verification:
Since the current is going upward (out of the paper), the thumb points upward, and the curled fingers show a counterclockwise direction. This confirms that the magnetic field lines are correctly shown.
Conclusion:
The direction of current and the pattern of magnetic field lines shown are in full agreement with the right-hand thumb rule.
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