CBSE Class 10 Science 2023: question 32(B)
Set in the CBSE Class 10 board exam of 2023, paper 31/4/1, section C, question 32(B), for 3 marks. Try it first; the hints and our step-by-step solution are below.
Q32(B) · 3 marks · Short answerMagnetic Effects of Electric Current
For the current carrying solenoid as shown, draw magnetic field lines and give reason to explain that out of the three points A, B and C, at which point the field strength is maximum and at which point it is minimum ?
Figure in the paper: A horizontal current carrying solenoid (cylindrical coil) with current arrows on the lower side. Three points marked: A inside the solenoid near its centre, B just above the solenoid, and C to the left of the solenoid outside its end. See it in the official paper.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2023 board paper, set 31/4/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
The field of a solenoid looks like that of a bar magnet.
Hint 2
Field strength is shown by how close together the field lines are.
Hint 3
Compare a point inside, a point beside the middle outside, and a point near an end.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- 1 mark
Diagram (described): inside the solenoid, draw straight, parallel, closely spaced field lines along the axis. Outside, the lines emerge from one end (N) and curve around to re-enter the other end (S), like a bar magnet. Mark the direction of current in the turns and the direction of the field lines with arrows, using the right-hand thumb rule.
- ½ mark
Field is maximum at A (inside the solenoid).
- ½ mark
Reason: inside, the field lines are crowded together and uniform, because the fields of all turns add up.
- ½ mark
Field is minimum at B (just outside, beside the middle of the solenoid).
- ½ mark
Reason: there the field lines are far apart. Point C near the end is closer to a pole, where the lines are more concentrated than at B.
Answer: Maximum at A (crowded, uniform lines inside); minimum at B (lines far apart outside)
Where the marks are
- Correct field line pattern with current and field directions; ½ deducted if directions missing (1 mark)
- Maximum at A (½ mark)
- Reason: lines crowded / fields of turns add up (½ mark)
- Minimum at B (½ mark)
- Reason: lines far apart (½ mark)
Revise the chapter
- Chapter: Magnetic Effects of Electric Current (notes, formulas, where marks are lost and every past question)
- Topic: Magnetic Field due to Circular Loop and Solenoid
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