Question

Prove 1/R = 1/R1 + 1/R2 + 1/R3 ?? (Resistant in parallel circuit)

Answer 1

\[I _{source}=I _{R1}+I_{R2}\]
since Ohm's law: V=IR=> I=V/R
\[\frac{ V _{source} }{ R _{T}}=\frac{ V _{R1} }{ R _{1}}+\frac{ V _{R2} }{ R _{2}}\]
where VR1=VR2=Vsource for parallel

Answer 2

So in the dia, above,the current (I) is split into 3, siince I =V/R,the current is a third through each parallel lne.Hence resistance = 1/R for each leg