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# Four resistances of 16 ohms each are connected in parallel. Four such combinations are connected in series. What is the total resistance?

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Four resistances of 16 ohms each are connected in parallel. Four such combinations are connected in series. What is the total resistance?

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Resultant resistance of a parallel combination of four 16 ohm resistances is

$$\frac{1}{R}$$ = $$\frac{1}{16}$$ + $$\frac{1}{16}$$ + $$\frac{1}{16}$$ + $$\frac{1}{16}$$ = $$\frac{4}{16}$$

R = 4 ohm

Four such combinations are connected in series, so total resistance

= 4 + 4 + 4+ 4 = 16 ohm.

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