What is I 1 , the current that flows through the resistor R 1 ? What is r, the i

Question

What is I1, the current that flows through the resistor R1?

What is r, the internal resistance of the battery?

What is I3, the current through resistor R3?

What is P2, the power dissipated in resistor R2?

What is V2, the magnitude of the voltage across the resistor R2?

A circuit is constructed with five resistors and one real battery as shown above right. We model. The real battery as an ideal emf V = 12 V in series with an internal resistance r as shown above left. The values for the resistors are: = R3 = 52 ohm, R4 = R5 = 122 ohm and R2 = 147 ohm. The measured voltage across the terminals of the battery is Vbattery = 11.5 V.

Explanation / Answer

Req = R1 + R2*(R3+R4+R5)/(R2+R3+R4+R5) = 150.2 ohm

a) I1 = 11.5/Req = 76.56 mA

b) 11.5 = 12-I1*r

r = 6.53 ohm

c) I3 = [R2/(R2+R3+R4+R5)]*I1 = 25.4 mA

d) P = V2*^2/R2 = 0.38458 W

e) V2 = 11.5-I1*R1 = 7.52 V

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