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

i₀ = V / R_i

Step-by-step explanation:

For this exercise we use Ohm's law

V = i R

i = V / R

the equivalent resistance for

`(1)/(R_(eq))` = ∑
`(1)/(R_i)`

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

`(1)/( R_(eq)) = (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