Question

A current of 0.5 A flows through a wire for 6 minutes. How much charge would have passed through the wire?*​

Answer 1

Given:

A current of 0.5 A flows through a wire for 6 minutes.

To find:

Charge passed through the wire.

Calculation:

Current is defined as the instantaneous rate of flow of charge through a particular cross section of a wire.

$\therefore \: current = \dfrac{charge}{time}$

$= > i = \dfrac{q}{t}$

$= > q = i \times t$

Putting available values in SI unit:

$= > q = 0.5 \times (6 \times 60)$

$= > q = 5 \times 36$

$= > q = 180 \: coulombs$

So, final answer is:

$\boxed{ \sf{charge \: passed = 180 \: coulombs}}$

Answer 2

The amount of charge passing through the wire is q = 180 C

Explanation:

We are given that:

• Current "I" = 0.5 A
• Time "t" = 6 minutes
• To Find: Charge "q" = ?

Solution:

The formula for current;

Current = Charge  / time

i = q / t

q = i x t

Charge "q" = 0.5 x 6 x 60

Charge "q" = 3 x 60

Charge "q" = 180 coulumbs

Thus the amount of charge passing through the wire is q = 180 C