Two electric bulbs , rated at (25W,220V) and (100W,220V), are connected in series across a 220 V voltage source , if the 25W and 100W bulbs draw powers `P_(1) and P_(2)` Respectively , then :

Options

A. `P_1=16WP_2=4W`
B. `P_1=9WP_2=16W`
C. `P_1=16WP_2=9W`
D. `P_1=4WP_2=16W`

Explanation

Let us assume `V_b=0V and V_a=xV`
`i_1+i_2+i_3=0`
`implies (x-E_1)/(2R_1)+(x=E_2)/R_2+(x-E_3)/(2R_1)=0`
`(x-2)/2+(x-4)/2+(x-4)/2=0`
`implies 3x-10=0 implies x=3.3V`
`V_a-V_b=x-0=3.3V`