The current in a wire varies with time according to

PHYSICS · Single correct · A Level · Physics · Electricity · Electricity

Problem

The current in a wire varies with time according to I(t)=4t AI(t)=4t\,\text{A}, where tt is in seconds, for 0≤t≤5 s0\le t\le 5\,\text{s}. What total charge passes a fixed point in the wire during this 5 s5\,\text{s} interval? (a) 1.0×102 C1.0\times10^{2}\,\text{C} (b) 2.5×101 C2.5\times10^{1}\,\text{C} (c) 5.0×101 C5.0\times10^{1}\,\text{C} (d) 4.0×101 C4.0\times10^{1}\,\text{C}

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