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The electric current through a wire varies with time as \(\mathrm{I}=\mathrm{I}_{0}+\beta \mathrm{t}\), where \(\mathrm{…

Q1

The electric current through a wire varies with time as \(\mathrm{I}=\mathrm{I}_{0}+\beta \mathrm{t}\), where \(\mathrm{I}_{0}=20 \mathrm{~A}\) and \(\beta=3 \mathrm{~A} / \mathrm{s}\). The amount of electric charge crossed through a section of the wire in \(20 \mathrm{~s}\) is :

[JEE Main 2024, 29 Jan (Shift 1)]

a

\(800 \mathrm{C}\)

b

\(1600 \mathrm{C}\)

c

\(80 \mathrm{C}\)

d

\(1000 \mathrm{C}\)

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