College

Dear beloved readers, welcome to our website! We hope your visit here brings you valuable insights and meaningful inspiration. Thank you for taking the time to stop by and explore the content we've prepared for you.
------------------------------------------------ A circuit contains a battery, a 6 Ω resistor, a 15 Ω resistor, and a 27 Ω resistor connected in parallel. The total voltage of the system is 10.0 V. What is the current through the battery?

Answer :

Resistors in parallel:

R1=6 Ω

R2=15 Ω

R3=27 Ω

Total voltage = V = 10 V

To find the total R:

[tex]\frac{1}{RT}=\frac{1}{R1}+\frac{1}{R2}+\frac{1}{R3}[/tex][tex]\frac{1}{RT}=\frac{1}{6}+\frac{1}{15}+\frac{1}{27}[/tex][tex]\frac{1}{RT}=\frac{73}{270}[/tex][tex]270\cdot1=RT\cdot73[/tex][tex]\frac{270}{73}=RT[/tex]

[tex]RT=3.7[/tex]

RT=3.7Ω

Ohm's Law

V=I x R

I = V/R = 10 V / 3.7 Ω = 2.7 A