If a current of 0.5 ampere flows through a metallic wire for 2 hours, then how many electrons would flow through the wire?

Question

If a current of 0.5 ampere flows through a metallic wire for 2 hours, then how many electrons would flow through the wire? (A) 2.25 × 10-22 electrons (B) 3.7 × 10-11 electrons (C) 7.5 × 1024 electrons (D) 2.25 × 1022 electrons

Tardigrade Admin · Accepted Answer

Q = I × t = 0.5 × 2 × 60 × 60 = 3600 C Charge on 1 electron is 1.602 × 10-19 C 3600 C is charge on (1/1.602 × 10-19) × 3600 = (3600/1.602) × 1019 = 2.25 × 1022 electrons

Q. If a current of $0.5$ ampere flows through a metallic wire for $2$ hours, then how many electrons would flow through the wire?

$2.25 \times 1 0^{- 22}$ electrons

$3.7 \times 1 0^{- 11}$ electrons

$7.5 \times 1 0^{24}$ electrons

$2.25 \times 1 0^{22}$ electrons

$Q = I \times t = 0.5 \times 2 \times 60 \times 60$
$= 3600 C$
Charge on $1$ electron is $1.602 \times 1 0^{- 19} C$
$3600 C$ is charge on $\frac{1}{1.602 \times 1 0 ^{- 19}} \times 3600$
$= \frac{3600}{1.602} \times 1 0^{19}$
$= 2.25 \times 1 0^{22}$ electrons

Q. If a current of 0.5 ampere flows through a metallic wire for 2 hours, then how many electrons would flow through the wire?

2.25×10−22 electrons

3.7×10−11 electrons

7.5×1024 electrons

2.25×1022 electrons