question_answer

The resistances\[{{R}_{1}}\], and\[{{R}_{2}}\], are connected in parallel. The equivalent resistance of the combination is:

(a) \[{{\mathbf{R}}_{\mathbf{1}}}\mathbf{+}{{\mathbf{R}}_{\mathbf{2}}}\]

(b) \[{{\mathbf{R}}_{\mathbf{1}}}-{{\mathbf{R}}_{\mathbf{2}}}\]

(c)  \[\frac{{{\mathbf{R}}_{\mathbf{1}}}{{\mathbf{R}}_{\mathbf{2}}}}{{{\mathbf{R}}_{\mathbf{1}}}\mathbf{+}{{\mathbf{R}}_{\mathbf{2}}}}\]

(d) \[\frac{{{\mathbf{R}}_{\mathbf{1}}}\mathbf{+}{{\mathbf{R}}_{\mathbf{2}}}}{{{\mathbf{R}}_{\mathbf{1}}}{{\mathbf{R}}_{\mathbf{2}}}}\]

Answer:

(c) \[\frac{{{R}_{1}}{{R}_{2}}}{{{R}_{1}}+{{R}_{2}}}\]