Question

The current flowing through an element is

i={5 A,3t2 A,00.5
Calculate the charge entering the element from t=0t=0 to t=1 s

Answer 1

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Answer 2

Answer:

Explanation:

Given

current $i=5\ A$

Charge at $t=1\ s$

$Q=it$

$Q=5\times 1$

$Q=5\ C$

(ii)For $i=3t^2$

$\frac{\mathrm{d} q}{\mathrm{d} t}=i$

$\int_{0}^{Q}dq=\int_{0}^{1}idt$

$\int_{0}^{Q}dq=\int_{0}^{1}(3t^2)dt$

$Q=(t^3)_0^{1}$

$Q=1\ C$

(iii)$i=0.5\ A$

$Q=it$

$Q=0.5\times 1$

$Q=0.5\ C$