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Advanced circuit analysis

Problem

A student builds the following circuit, where the resistance of R, start subscript, 1, end subscript is less than R, start subscript, 2, end subscript.
How does the current through the battery compare from when switch S is open (I, start subscript, start text, o, p, e, n, end text, end subscript) to when the switch is closed (I, start subscript, start text, c, l, o, s, e, d, end text, end subscript)?
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