Answered: Consider the following figure. An open…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Consider the following figure. An open circuit containing four resistors starts at point a and ends at point b. The circuit extends up and to the right from point a to a 4.00 Ω resistor. The circuit then extends to the right to point c, where it splits into two parallel horizontal branches. There is a 7.00 Ω resistor on the top branch and a resistor of resistance R on the bottom branch. The branches then recombine to meet at point d. The circuit extends to the right from point d to a 9.00 Ω resistor. The circuit then continues to the right and down until it reaches point b. (a) Find the equivalent resistance between points a and b in the figure. (R = 17.0 Ω) Ω (b) Calculate the current in each resistor if a potential difference of 40.0 V is applied between points a and b. I (4.00 Ω) = A I (7.00 Ω) = A I (17.0 Ω) = A I (9.00 Ω) = A

12:03
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DETAILS
SERCP11 18.3.P.007.MI.
ASK YOUR TEACHER
PRACTICE ANC
der the following figure.
7.00 2
4.00 N
9.00 N
R
a
a) Find the equivalent resistan
R = 17.0 N)
Ω
b) Calculate the current in ead
'is applied between points a a
(4.00 N)
A

Expert Solution

Part (a)

The equivalent resistance in parallel connection,

$R_{P} = \frac{R_{2} \times R}{R_{2} + R}$

Substitute,

$\begin{array}{rcl} R_{P} & = & \frac{(7.0 Ω) (17.0 Ω)}{7.0 Ω + 17.0 Ω} \\ = & 4.96 Ω \end{array}$

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