The figure shows two resistors in parallel. R 1 =10.1 ? and R 2 =21.8 ?. What is

Question

The figure shows two resistors in parallel. R1=10.1 ? and R2=21.8 ?.

What is the equivalent resistance of the two combined resistors?

In this case, when finding the total current flowing from the battery, you need to consider the overall, or equivalent, resistance of the circuit. Suppose the voltage source provides a potential difference (voltage difference) of 8.89 V. What is the total current flowing from the battery?

These two resistors are in parallel. First, stop and trace the current flowing from the battery through the complete circuit. Is there anywhere that it splits or recombines? Second, you need to remind yourself that in this case the voltage across each resistor is the same as the voltage source. Now, what is the current flowing through resistor R1?

What is the current flowing through resistor R2?

The figure shows two resistors in parallel. R1=10.1 ? and R2=21.8 ?. What is the equivalent resistance of the two combined resistors? In this case, when finding the total current flowing from the battery, you need to consider the overall, or equivalent, resistance of the circuit. Suppose the voltage source provides a potential difference (voltage difference) of 8.89 V. What is the total current flowing from the battery? These two resistors are in parallel. First, stop and trace the current flowing from the battery through the complete circuit. Is there anywhere that it splits or recombines? Second, you need to remind yourself that in this case the voltage across each resistor is the same as the voltage source. Now, what is the current flowing through resistor R1? What is the current flowing through resistor R2?

Explanation / Answer

a)

1/Req =1/R1 +1/R2

Req =R1*R2/(R1+R2) =10.1*21.8/(10.1+21.8)=220.18

Req =6.9 ohms

b)

I=V/R =8.89/6.9

I=1.2884 A

c)

I1=V/R1 =8.89/10.1

I1=0.8802 A

d)

I2=V/R2 =8.89/21.8

I=0.4078

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