Question

If a current of 1A flows through a circuit for 1.5hrs, then the charge flowing through the conductor is​

• A. $2.25\times {10}^{22}electrons$
• B. $2.15\times {10}^{22}electrons$
• C. $3.25\times {10}^{22}electrons$
• D. $4.25\times {10}^{22}electrons$

Answer 1

The correct option is A $2.25\times {10}^{22}electrons$

Current $=1A$

Time$T=1.5hours$

Convert in sec we get

Time $t=1.5\times 60\times 60s=7200s$

Using $Q=3t$

Plugging the values$Q=0.5A\times 7200sQ=3600C$

Number of electrons$=$ total charge / charge on $1$ electron

$=3600/(1.6\times {10}^{19})=2.25\times {10}^{22}electrons$