The power dissipated in the circuit shown in the is 30 watts. The value of `R` is

Options

A. `20 Omega`
B. `15 Omega`
C. `10 Omega`
D. `30 Omega`

Answer

c

Explanation

Equivalent resistance of circuit `R_(eq) = (5R)/(5+R)`
Power dissipated,
`P = (V^(2))/(R_(eq)) or R_(eq) = (V^(2))/(P) = (10^(2))/(30) = (10)/(3)`
`:. (10)/(3) = (5R)/(5+R) or 50 + 10R = 15 R or R = 10 Omega`