Suppose switches S_1, S_2 and so on up to S_6 | vedclass

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(A) The circuit consists of a battery $V_0$ in series with a resistor $R$ and a parallel combination of resistors. Initially,all switches are open. Wh

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(A) The circuit consists of a battery $V_0$ in series with a resistor $R$ and a parallel combination of resistors. Initially,all switches are open. When a switch $S_n$ is closed,it short-circuits the corresponding resistor $nR$. As switches $S_1, S_2, \dots, S_6$ are closed sequentially at $1 	ext{ minute}$ intervals,the total resistance of the circuit decreases. According to Ohm's law,$I = V/R_{eq}$. Since the total resistance $R_{eq}$ decreases with each step,the current $I$ must increase at each step. Comparing this with the given options,the graph that shows a step-wise increase in current over time is Graph $A$.

Suppose switches $S_1, S_2$ and so on up to $S_6$ are closed one after another in order (first $S_1$,then $S_2$,etc.) at regular intervals of $1 \text{ minute}$ starting from $t = 0$. The graph of current versus time is best represented as:

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