Three resistors, 14.4 ?, 54.0 ?, and R, are connected in series with a 24.0 V ba

Question

Three resistors, 14.4 ?, 54.0 ?, and R, are connected in series with a 24.0 V battery. The total current flowing through the battery is 0.157 A Calculate the value of resistance R Submit Answer Tries 0/16 Calculate the potential difference across the 14.4 2 resistor. Submit Answer Tries 0/16 Calculate the potential difference across the 54.0 2 resistor. Submit Answer Tries 0/16 Calculate the potential difference across R. Submit AnswerTries 0/16 If the voltage of the battery had been smaller than 24.0 V, would the value of resistance have been larger or smaller? O The value of resistance R would have been larger. O The value of resistance R would have been smaller. Submit AnswerTries 0/16

Explanation / Answer

a)

equivalent resistance

Req =14.4+54+R=68.4+R

Current flowing through the battery is

I=V/Req

=>0.157 =24/(68.4+R)

68.4+R=152.866

R=84.466 ohms

b)

V14.4=0.157*14.4=2.2608 Volts

c)

V54=0.157*54 =8.478 Volts

d)

VR=84.466*0.157=13.2612 Volts

e)

The Value of resistance R would have been smaller

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