Question

The potential difference across a resistor of resistance $10\Omega$, if ${10}^{20}$ electrons flow through it in one second is:

• A. 320 V
  
• B. 400 V
  
• C. 80 V
  
• D. 160 V
  

Answer 1

The correct option is D 160 V

Current is defined sa the rate of flow of charge through the conductor.

$I=\frac{\Delta q}{\Delta t}=\frac{e\Delta n}{\Delta t}$

$=\frac{1.6\times {10}^{-19}\times {10}^{20}}{1}=16A$

According to Ohm's law:

$V=IR$

$V=16\times 10=160V$

Hence, the potential difference across a resistor is 160 V.