If in the circuit, power dissipation is 150W, the R is

Options

A. `2 Omega`
B. `6 Omega`
C. `5 Omega`
D. `4 Omega`

Answer

B

Explanation

(b) The equivalent resistance is `R_(eq) = (2xxR)/(2+R)`
`:. Power dissipation P = V^2/R_(eq)`
`:. 15 0 = (15 xx 15)/R_(eq) :. R_(eq) = 15/10 = 3/2`
`rArr (2R)/(2+R) = 3/2 rArr 4R = 6+3R rArr R = 6 Omega`.