Answered: A string of 25 decorative lights has…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter29: Direct Current (dc) Circuits

Section: Chapter Questions

Problem 19PQ

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Question

A string of 25 decorative lights has bulbs rated at 9.0 W and the bulbs are connected in parallel. The string is connected to a 120-V power supply. The internal resistance of the power supply is negligible.

(a) What is the current through each bulb?

(b) What is the resistance of each bulb?

(d) What is the total power consumed by the string?

Expert Solution

Step 1

Given data:

The power is P=9 W
The voltage is V=120 V
The number of bulbs is n=25

Part a:

Calculating the current through each bulb as follows:

$\begin{array}{rcl} P & = & V \times I \\ 9 & = & 120 \times I \\ I & = & 0.075 A \end{array}$

Part b:

Calculating the resistance of each bulb as follows:

$\begin{array}{rcl} R & = & \frac{V}{I} \\ = & \frac{120}{0.075} \\ = & 1600 ohm \end{array}$

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