A 3 0 V battery V is connected to a five resistor R circuit. Each of five resistor has a resistance of 9 Ω . Calculate the current I in amperes.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
Sweet Problem!
Thank you for the graphic solution.
Let each resistor be R = 9 Ω . The equivalent resistance connected to battery V is given by:
R e q ⟹ I = R 1 + ( R 2 + R 3 ) ∣ ∣ R 4 + R 5 = R + ( R + R ) ∣ ∣ R + R = 2 R + 3 R 2 R 2 = 3 8 R = 2 4 Ω = R e q V = 2 4 3 0 = 4 5 = 1 . 2 5 A
Intriguing flow. Thank you for your solution.
Problem Loading...
Note Loading...
Set Loading...
Initial Resistors in Series Simplification: R a = R 2 + R 3 = 9 + 9 = 1 8 Ω
Resistors in Parallel Simplification: R b = ( R a 1 + R 4 1 ) − 1 = ( 1 8 1 + 9 1 ) − 1 = ( 6 1 ) − 1 = 6 Ω
Final Resistor in Series Simplification: R c i r c u i t = R 1 + R b + R 5 = 9 + 6 + 9 = 2 4 Ω
Current Calculation: I = R c i r c u i t V = 2 4 Ω 3 0 V = 1 . 2 5 A