Three $85\mathrm{.}0-$W$,130-$V lightbulbs are connected across a $\backslash$Delta V $=130-$V power source, as shown in the figure below. Find the total power delivered to the three bulbs and the potential difference across each. Assume the resistance of each bulb is constant $($even though, in reality, the resistance increases markedly with current$).$

An open circuit begins at a terminal with a wire extending horizontally rightwards until it reaches a lightbulb R$1.$ After the light bulb, the wire splits downwards into two parallel, vertical branches. The left branch contains a lightbulb R$2$ and the right branch contains a lightbulb R$3.$ The two branches recombine below and the wire extends leftwards until it reaches another terminal below the first. The potential difference across the terminals is $\backslash$Delta V$.$

 

$($a$)$ Find the total power delivered to the three bulbs. 

 

W

$($b$)$ Find the potential difference across each bulb.

Delta VR$1=$

 

Delta VR$2=$

 

Delta VR$3=$