Help with a Parallel Circuit Problem

Physics
Tutor: None Selected Time limit: 1 Day

Three resistors (3 ohm, 6 ohm, 9 ohm) are connected in parallel to a 12 V battery. An ammeter reads the current through the 3-ohm resistor and a voltmeter measures the potential drop across the battery.

What is the equivalent resistance of the circuit?

What is the total current through the circuit?

What is the current through each resistor? 

What is the voltage drop across each resistor?

How much energy is consumed in each resistor during a 5 min period?  

May 27th, 2015

Req=(1/3)+(1/6)+(1/9)

Req=11/18

Req=1.63 ohm                             (where Req is equivalent resistance)

I=12/1.63

I=7.36A                                          (I is Current through circuit)

I=12/3=4A                                       (Current through 3 ohm resistor)

I=12/6=2A                                        (Current through 6 ohm resistor)

I=12/9=1.33A                                    (Current through 9 ohm resistor)

V=R*I

V=3*4=12V                                       (Voltage drop across 3 ohm resistor)

V=6*2=12V                                        (Voltage drop across 6 ohm resistor)

V=9*1.33=11.97V                               (Voltage drop across 9 ohm resistor)



May 27th, 2015

Thank you so much for your answers, but how do I calculate the amount of energy consumed in each resistor during a 5 minute period? 

May 27th, 2015

Power=(Energy consumed by the load) / (Time)...........Eq A

Power=VI=12*7.36=88.32watt...................Eq B

From Eq. A and B

Energy=power*time=88.32*(5*60sec)

Energy=26496Joule

Sorry for missing the portion of answer.



May 27th, 2015

No problem at all! Thanks for answering my question!

May 28th, 2015

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May 28th, 2015

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May 27th, 2015
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May 27th, 2015
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