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Current Electricity

Question

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A (i) series (ii) parallel combination of two given resistors is connected, one-by-one, across a cell. In which case will the terminal potential difference, across the cell, have a higher value?

Solution

Given, two resistors which are connected one-by-one in series and parallel combination.

Terminal potential difference of the cell is given by,

V = ε - Ir

Current across the circuit in series arrangement is given by,

C urrent, I_{s} = \frac{E}{R_{1} + R_{2} + r}

Current in parallel arrangement is given by,

Current, I_{P} = \frac{E}{\frac{R_{1} R_{2}}{R_{1} + R_{2}} + r}

Quite evidently,
I_P > I_s

\Rightarrow

V_p < V_s.

Therefore, terminal potential difference is higher in series combination as compared in parallel combination.

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