Four resistors of 10.0 each are connected in parallel. A combination of four resistors of 10.0 each is connected in series
along with the parallel arrangement. What is the equivalent resistance of the circuit?
a. 80.00
c. 40.00
b. 40.42
d. 42.52

d)

Explanation:

First of all, we calculate the equivalent resistance of the 4 resistors in parallel; it is given by

where are the 4 resistors in parallel.

Here, the 4 resistors have same resistance:

So the equivalent resistance of the 4 resistors in parallel is

Now, this combination is placed in series with the other 4 series.

The equivalent resistance of resistors in series is the sum of the indivual resistances, so in this case:

where are the resistances in series. Here,

Therefore the total resistance of the circuit is

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