Question
Find the expression (i.e., derive the expression) for the resistors connected in parallel.
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Answer
Expression for the resistance connected in parallel.
(i) Let $R_1, R_2$ and $R_3$ be the three resistances connected in parallel combination between points C and D and let R be their effective resistance.
(ii) Let $I_1, I_2$ and $I_3$ be the currents flowing through resistances $R_1, R_2$ and $R_3$ respectively. Let I be the current flowing through the circuit and V be the potential difference of the cell.
(iii) For parallel combination of resistances,
(iv) Substituting the values of ($I, I_1, I_2$ and $I_3$) in equation (i) we get
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