Total power consumed when two resistors of resistance R are connected in series is P. How much power is consumed when they are connected in parallel ?

Options

A. `(P)/(4)`
B. P
C. 2P
D. 4P

Answer

D

Explanation

4P
Consumed power is P. when two resistors are connected in series.
Suppose consumed power is `P_(1)` for each
`therefore (1)/(P_(1)) + (1)/(P_(1)) = (1)/(P)` (series connection )
`therefore (2)/(P_(1)) = (1)/(p)`
`therefore P_(1) = 2 P `
Now power consumed when they are connected in parallel,
`therefore P_(2) = P_(1) + P_(1) `
`therefore P_(2) = 2P_(1) " "( "Putting" , P_(1) = 2P)`
`therefore P_(2) = 4P`