Question

What is the potential difference across ends of a conductor of resistance 200 Ohm, if it carries a current of 4 milli amperes ?​

Answer 1

${\mathfrak{\underline{\purple{\:\:\: Given:-\:\:\:}}}}$

$\:\:\:\:\bullet\:\:\:\sf{ Resistance \ of \ conductor \ = \ 200\Omega}$

$\:\:\:\:\bullet\:\:\:\sf{ Current \ flowing \ = \ 4 \ milliamperes}$

${\mathfrak{\underline{\purple{\:\:\:To \:Find:-\:\:\:}}}}$

$\:\:\:\:\bullet\:\:\:\sf{ Potential\: difference\: across\: the\: conductor}$

${\mathfrak{\underline{\purple{\:\:\: Solution:-\:\:\:}}}}$

$\dashrightarrow\:\: \sf{ Current\: (I) \:=\: 4 mA \:=\: 4 \times \bigg(\dfrac{1}{10^3}\bigg) }$

$\dashrightarrow\:\: \sf{A \:= \:0.004\: Ampheres}$

$\star\:\sf{Now \:using \:Ohm's\: law }$

$\boxed{</p><p></p><p>\begin{minipage}{5.5 cm} \\\\</p><p></p><p>\:{\bf{\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:I = \dfrac{V}{R}}} \\ \\</p><p></p><p>\sf{\:\:\:\:Where,}\\\\</p><p></p><p>\sf{\:\:\bullet\:\:{\bf{I}}\: \:indicates\: Current}\\\\</p><p>\sf{\:\:\bullet\:\:{\bf{V}}\:\: indicates \:Potential\:difference\:}\\\\</p><p>\sf{\:\:\bullet\:\:{\bf{R}}\: \:indicates \:Resistance}\\ </p><p></p><p>\end{minipage}</p><p></p><p>}$

${\sf{\underline{\:\:Substituting\: values\:\:}}}$

$\dashrightarrow\:\: \sf{ 0.004 = \dfrac{V}{200}}$

$\dashrightarrow\:\: \sf{ 0.004 \times 200 = V}$

$\dashrightarrow\:\: \sf{ 0.8 = V}$

$\dashrightarrow\:\: \sf{ V = 0.8 \:volts}$

$\therefore{\underline{\rm{ \:Potential\: difference\: across\: the\: conductor \:= \:0.8\: Volts\:}}}$