Verified Solution • 2025–26 Session moderate

QPages 306-313: Q3: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 306-313: Q3 Solution: a) The magnetic field in a region varies as shown in figure.…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently calculate only the magnitude of the induced emf, ignoring the negative sign in Faraday's law ($\varepsilon = -\frac{d\Phi}{dt}$). You must track the sign of the rate of change of magnetic flux to determine the correct polarity, as the emf reverses direction when the slope of the $B$-$t$ graph changes sign.

a) The magnetic field in a region varies as shown in figure. Calculate the average induced emf in a conducting loop of area 2.0×10−3 m22.0 \times 10^{-3} \text{ m}^2 placed perpendicular to the field in each of the 10 ms intervals shown. b) In which intervals is the emf not constant? Neglect the behaviour near the ends of 10 ms intervals.

Step-by-Step Verified Solution

**Answer:** Average emf in each interval: 2 mV, 4 mV, -4 mV, -2 mV. Emf is not constant in intervals 10-20 ms and 20-30 ms. **Step-by-Step Explanation:** Using E = __/_t with A = 2.0 _ 10__ m_, the emf in each 10 ms interval is calculated from the change in magnetic field [citation:10].

All Questions in this Chapter

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