Question

Three Resistance R1,R2 AND R3 are connected in series,. Find out the equivalent resistance of the combinatoins ​

Answer 1

$\underline{\boxed{ \sf{ \bold{ \huge{ \orange{Answer}}}}}} \\ \\ \longmapsto \sf \: let \: three \: resistors \: of \: resistance \: R1 \: R2 \\ \sf \: R3 \: are \: connected \: in \: series \: with \: battery \: of \\ \sf \: V \: volt \\ \\ \longmapsto \sf \: current \: flowing \: in \: the \: circuit \: is \: I \\ \\ \longmapsto \sf \: current \: flowing \: in \: all \: resistors \: in \\ \sf \: series \: connection \: is \: always \: same \\ \\ \longmapsto \sf \: let \: potential \: difference \: across \: all \\ \sf \: resistors \: are \: respectively \: V1 \: V2 \: and \: V3 \\ \\ \longmapsto \sf \: as \: per \: ohm's \: rule \: \boxed{ \bold{ \red{V = IR{ \tiny{eq}}}}} \\ \\ \star \sf \: \bold{DERIVATION :} \\ \\ \longmapsto \sf \: V = V1 + V2 + V3 \\ \\ \longmapsto \sf \: IR{ \tiny{eq}} = IR1 + IR2 + IR3 \\ \\ \longmapsto \sf \underline{ \boxed{ \bold{ \blue{R{ \tiny{eq}} = R1 + R2 + R3}}}}$