Series-Parallel Circuits - Technical MCQs

Q1:

What is the total resistance of a circuit when R1 (7 k omega.gif) is in series with a parallel combination of R2 (20 k omega.gif), R3 (36 k omega.gif), and R4 (45 k omega.gif)?

A 4 k omega.gif

B 17 k omega.gif

C 41 k omega.gif

D 108 k omega.gif

ANS:B - 17 k omega.gif

Since parallel combination of resisitor is lees than least resistance . therefore parallel combination of 20 36 45 is less than 20. for this combination a series resistance of 7 is added .max answer is less than 20+7=27 there c and d options are not correct . a is also not correct because 7+anything is greater than 7.

There fore the correct answer is 17 which is option B.