The current through a wire depends on time as, `i=(10+4t)` Here , `i` is ampere and `t` in seconds. Find the charge crossed through section in time interval between `t=0` to `t=10s`.

Options

A. 50 C
B. 300C
C. 400C
D. 4C

Answer

B

Explanation

As current flowing through a wire i.e., `I = (dQ)/(dt)=10 +4t`
`rArr " " int_(0)^(Q) dQ = int_(0)^(10)(10+4 t)dt`
On integrating it, we get
`Q = l[10t+(4t^(2))/(2)]_(0)^(10)=[10 t+2t^(2)]_(0)^(10)`
When t = 10 s, then `Q = 10xx10+2xx10^(2)=300 C`