Question

How long does it take a current of 10 mA to deliver 30 C of charge ?

Answer 1

Answer:

10 mA = 0.01 C/s

30 C will be achieved in 30 / 0.01 = 3000 seconds = 50 minutes

Answer 2

A current of 10 mA will take 50 minutes to deliver 30 C of charge.

Given,

Current = 10 mA,

Charge = 30 C.

To find,

Time taken.

Solution,

Electric current is defined as the rate of flow of charge with respect to time.

Mathematically, the electric current, charge, and time are related as follows.

$I=\frac{q}{t}$     ...(1)

Where,

$I$ = electric current (A),

$q$ = charge (C),

$t$ = time (s).

Here, it is given that,

$I$ = 10 mA = $10 \times 10^{-3}$ A,

$q$ = 30 C.

Substituting the above values in equation (1), we get,

$10 \times 10^{-3}=\frac{30}{t}$

Rearranging and simplifying,

$t=\frac{30}{10 \times 10^{-3}}$

$\implies t=3 \times 10^{3} = 3000$ s.

Or,

$t=\frac{3000}{60}min$

⇒ t = 50 min.

Therefore, a current of 10 mA will take 50 minutes to deliver 30 C of charge.

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