Question
If resistances R,2R,4R,8R… are connected in parallel,
the equivalent resistance is:Solution
The resistances are R,2R,4R,8R,… which form a geometric progression with the first term a=R and the common ratio r=2. These resistances are connected in parallel. For resistors connected in parallel, the reciprocal of the equivalent resistance (Req) is the sum of the reciprocals of the individual resistances: 
The terms in the parentheses form an infinite geometric series with the first term a′=1 and the common ratio r’ = ½ Since ∣ r′ ∣ <1, the sum of this infinite geometric series is given by: 
Substituting the sum of the series back into the equation for 
In the following questions assuming the given statements to be true, find which of the conclusion among given conclusions is/are definitely true and the...
In the question, assuming the given statements to be true, find which of the conclusion (s) among given two conclusions is /are definitely true and the...
Statements: T @ V % Z # D & B $ S # E; W $ Z @ C
Conclusions : I. E @ Z ...
Statements: I $ N, N # U, U @ E, E & S
Conclusions: I. E & N II. S @ N III. I $ U
...Statement: L ≥ X ≤ Z > Y ≤ A, Y = B ≥ C
Conclusion: I. C >A II. A ≥ C
...Statement: C > B > T < J > D > M < Z
Conclusion: I. C > M II. C > Z
Read the given statement and conclusions carefully. Decide which of the given conclusions is/are true based on the statement.
Statement:
U...
Statements: S > T > W = U ≤ V ≤ I, X > Y = S
Conclusions:
I. W > Y
II. I ≥ T
III. U < Y
Statements:
J © K * R, U % R $ Z
Conclusions:
I. Z $ J
II. U % K
III. U © J
In which of the following expressions will the expression ‘S > Y’ and ‘R > Y be definitely true?
Relevant for Exams:
