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
74 : 56 Â :: Â 95 : Â ?
Change the question mark with the option that follows the logic applied to the first pair.Â
Television : Electricity :: Car : ??
If 49 × 23 = 41, 26 × 47 = 23 and 64 × 99 = 42, then 57× 68 = ?
In the following question, select the related word pair from the given alternatives.Â
Map: Geography
- Select the option that is related to the third letter-cluster in the same way as the second letter-cluster is related to the first letter-cluster.
G... - ‘Earthquake’ is related to ‘Seismograph’, in the same way as ‘Blood Pressure’ is related to ‘____’.
Select the option that is related to the third term in the same way as second term is related to the first term.
WHE: YEJ :: VCM:?
How is V related to R?
Select the option in which the words share the same relationship as that shared by the given pair of words.
Lion : Cub
Select the option that is related to third letter cluster in the same way second letter cluster is related to first letter cluster.
SBDF: MGZI :: HPME: ?