Question

Many types of decorative lights are connected in parallel. If a set of lights is connected to a 110 V source and the filament of each bulb has a hot resistance of what is the currentthrough each bulb

Answer 1

Answer:

i₀ = V / R_i

Explanation:

For this exercise we use Ohm's law

         V = i R

          i = V / R

the equivalent resistance for

         $\frac{1}{R_{eq}}$ =  ∑ $\frac{1}{R_i}$

if all the bulbs have the same resistance, there are N bulbs

         $\frac{1}{ R_{eq}} = \frac{N}{R_i}$

         R_{eq} = R_i / N

we substitute

         i = N V / Ri

where i is the total current that passes through the parallel, the current in a branch is

         i₀ = i / N

         i₀ = V / R_i