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QPages 306-313: Q75: HC Verma: Concepts of Physics - Volume 2 Electromagnetic Induction Pages 306-313: Q75 Solution: An L-R circuit has L = 1.0 H and . It is connected across an…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often plug the time value in milliseconds directly into the exponent $e^{-Rt/L}$, forgetting to convert to seconds; this yields a factor‑of‑10 (or more) mistake in $di/dt$. Always convert $t$ to seconds before evaluating $e^{-Rt/L}$ and double‑check the decimal placement of the result.
An L-R circuit has L = 1.0 H and . It is connected across an emf of 2.0 V at t = 0. Find di/dt at a) t = 100 ms, b) t = 200 ms and c) t = 1.0 s.
Step-by-Step Verified Solution
**Answer:** (a) 2.7 A/s (b) 0.37 A/s (c) 0.
**Step-by-Step Explanation:**
di/dt = (E/L)e^(-Rt/L) = (2/1)e^(-20t/1) = 2e^(-20t).
(a) t=100 ms: 2e^(-2) = 0.27 A/s.
(b) t=200 ms: 2e^(-4) = 0.037 A/s.
(c) t=1 s: � 0 [citation:4].
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