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Question: Answered & Verified by Expert
An alternating current of frequency $50 \mathrm{~Hz}$ has the peak value as $14 \cdot 14 \mathrm{~A}$. The time
taken by the alternating current in reaching from zero to maximum value and r.m.s. value of current will be respectively
PhysicsAlternating CurrentMHT CETMHT CET 2020 (19 Oct Shift 1)
Options:
  • A $0.025 \mathrm{~s}, 5 \mathrm{~A}$
  • B $0 \cdot 005 \mathrm{~s}, 5 \mathrm{~A}$
  • C $0 \cdot 005 \mathrm{~s}, 10 \mathrm{~A}$
  • D $0 \cdot 025 \mathrm{~s}, 10 \mathrm{~A}$
Solution:
2923 Upvotes Verified Answer
The correct answer is: $0 \cdot 005 \mathrm{~s}, 10 \mathrm{~A}$
(D)
$\mathrm{f}=50 \mathrm{~Hz}, \mathrm{~T}=\frac{1}{50} \mathrm{~s}=0.02 \mathrm{~s}$
Time taken to reach from zero to maximum value is
$\begin{array}{l}
t=\frac{T}{4}=\frac{0.02}{4}=0.005 \mathrm{~s} \\
I_{m s}=\frac{I_{0}}{\sqrt{2}}=\frac{14.14}{1.414}=10 \mathrm{~A}
\end{array}$

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