Verified Solution • 2025–26 Session moderate

QPages 249-253: Q42: HC Verma: Concepts of Physics - Volume 2 Magnetic Field Due to a Current Pages 249-253: Q42 Solution: A piece of wire carrying a current of 6.00 A is bent in the…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often insert the angle $120^circ$ directly into $B=\frac{\mu_0 I\theta}{4\pi r}$, forgetting that $\,\theta\,$ must be in radians; using degrees underestimates $B$ by a factor of $\pi/180$. Always convert the subtended angle to radians before applying the arc‑field formula.

A piece of wire carrying a current of 6.00 A is bent in the form of a circular arc of radius 10.0 cm, and it subtends an angle of 120� at the centre. Find the magnetic field B due to this piece of wire at the centre.

Step-by-Step Verified Solution

**Answer:**

B = 1.05 \times 10^{-5}

T. **Step-by-Step Explanation:**

i = 6

A,

r = 0.1

m,

\theta = 120� = 2\pi/3

.

B = \frac{\mu_0 i \theta}{4\pi r} = \frac{4\pi \times 10^{-7} \times 6 \times 2\pi/3}{4\pi \times 0.1} = 1.26 \times 10^{-5}

T.

All Questions in this Chapter

QPage 248: Q1 QPage 248: Q2 QPage 248: Q3 QPage 248: Q4 QPage 248: Q5 QPage 248: Q6 QPage 248: Q7 QPage 248: Q8 QPage 248: Q9 QPage 248: Q10 QPage 248: Q11 QPage 248: Q12 QPage 249: Q1 QPage 249: Q2 QPage 249: Q3 QPage 249: Q4 QPage 249: Q5 QPage 249: Q6 QPage 249: Q7 QPages 248-249: Q1 QPages 248-249: Q2 QPages 248-249: Q3 QPages 248-249: Q4 QPages 248-249: Q5 QPages 248-249: Q6 QPages 248-249: Q7 QPages 248-249: Q8 QPages 248-249: Q9 QPages 248-249: Q10 QPages 248-249: Q11 QPages 248-249: Q12 QPages 249-253: Q1 QPages 249-253: Q2 QPages 249-253: Q3 QPages 249-253: Q4 QPages 249-253: Q5 QPages 249-253: Q6 QPages 249-253: Q7 QPages 249-253: Q8 QPages 249-253: Q9 QPages 249-253: Q10 QPages 249-253: Q11 QPages 249-253: Q12 QPages 249-253: Q13 QPages 249-253: Q14 QPages 249-253: Q15 QPages 249-253: Q16 QPages 249-253: Q17 QPages 249-253: Q18 QPages 249-253: Q19 QPages 249-253: Q20 QPages 249-253: Q21 QPages 249-253: Q22 QPages 249-253: Q23 QPages 249-253: Q24 QPages 249-253: Q25 QPages 249-253: Q26 QPages 249-253: Q27 QPages 249-253: Q28 QPages 249-253: Q29 QPages 249-253: Q30 QPages 249-253: Q31 QPages 249-253: Q32 QPages 249-253: Q33 QPages 249-253: Q34 QPages 249-253: Q35 QPages 249-253: Q36 QPages 249-253: Q37 QPages 249-253: Q38 QPages 249-253: Q39 QPages 249-253: Q40 QPages 249-253: Q41 QPages 249-253: Q42 QPages 249-253: Q43 QPages 249-253: Q44 QPages 249-253: Q45 QPages 249-253: Q46 QPages 249-253: Q47 QPages 249-253: Q48 QPages 249-253: Q49 QPages 249-253: Q50 QPages 249-253: Q51 QPages 249-253: Q52 QPages 249-253: Q53 QPages 249-253: Q54 QPages 249-253: Q55 QPages 249-253: Q56 QPages 249-253: Q57 QPages 249-253: Q58 QPages 249-253: Q59 QPages 249-253: Q60 QPages 249-253: Q61

Related Learning Resources & Exam Preparation

Chapter Practice Bank

Practice all topic-wise questions from Magnetic Field Due to a Current

Reference Textbook Solutions

Explore complete chapter exercises for HC Verma: Concepts of Physics - Volume 2

Competitive PYQ Question Bank

Browse year-wise authentic previous years' questions with solutions

Authentic CBT Mock Tests

Simulate official exam environment with live timer and percentile scoring