   Chapter 18, Problem 50AP

Chapter
Section
Textbook Problem

Three 60.0-W, 120-V lightbulbs are connected across a 120-V power source, as shown in Figure P18.50. Find (a) the total power delivered to the three bulbs and (b) the potential difference across each. Assume the resistance of each bulb is constant (even though, in reality, the resistance increases markedly with current). Figure P18.50

To determine
The value of each resistor.

Explanation

Formula to calculate the power delivered in series circuit is,

ΔPseries=I2(R1+R2) (I)

• I is the current.
• R1 and R2 are the resistances.

Formula to calculate the power delivered in parallel circuit is,

ΔPparallel=I2(R1R2R1+R2) (II)

Substitute 225 W for ΔPseries and 5 A for I in Equation (I).

225W=(5A)2(R1+R2)

On Re-arranging,

R1+R2=9Ω (III)

Substitute 50.0 W for ΔPparallel , 9Ω for R1+R2 and 5 A for I in Equation (II).

50

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