College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

Figure P18.49 shows separate series and parallel circuits. (a) What is the ratio ΔVseries/ΔVparallel? (b) What is the ratio of the power dissipated by the resistors in the series to the parallel circuit, Pseries/Pparallel?Figure P18.49

(a)

To determine
The total power delivered to the three bulbs shown in the figure.

Explanation

Given Info: The power of the three light bulbs is 60.0â€‰W and potential developed across the power source is 120â€‰V . The resistors R2 and R3 is in series with resistor R1 is 240â€‰Î© .

Explanation:

Formula to calculate the resistors of each of the three bulbs is,

P=(Î”V)2R

• P is the power of the light bulbs,
• Î”V is the potential difference across the power source,
• R is the resistor,

Rewrite the expression in terms of R.

R=(Î”V)2P

Substitute 120â€‰V for Î”V and 60.0â€‰W for P .

Thus, the resistors of each of the three bulbs is 240â€‰Î© .

The equivalent resistance of the circuit connected in the parallel combination of R2 and R3 is in series with R1 is,

Requ=R1+(1R2+1R3)âˆ’1

(b)

To determine
The potential difference across each resistor of the bulb.

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