Question

I need help

Answer 1

@eashmore

Answer 2

Do all the bulbs have the same resistance (R) value?

Answer 3

Yes, they do

Answer 4

What do we know about resistors in series?

Answer 5

in series, \(R_eq= \sum R\)

Answer 6

What about their currents?

If R1 and R2 are in series in a simple circuit, what is the current through each?

Answer 7

the same

Answer 8

Correct.

Answer 9

In this problem...

The total current through the top two bulbs in parallel equals the current through the bottom three bulbs.

Answer 10

Yes.

Answer 11

Let's work through this problem mathematically.

First, find the equivalent resistance of ALL five bulbs.

Answer 12

\[R_{AB}= \dfrac{R_a*R_B}{R_A+R_B}=\dfrac{R}{2}\]

Answer 13

While doing this, note the equivalent resistance of the following three groupings.