Suppose the resistors in Sample Problem No. 3 are connected in parallel. Draw the circuit diagram and find the (a) equivalent resistance of the combined resistors, (b) current flowing through each resistor, (c) voltage across each resistor, and (d) the power dissipated by each resistor.

Suppose the resistors in Sample Problem No. 3 are connected in parallel. Draw the circuit diagram and find the (a) equivalent resistance of the combined resistors, (b) current flowing through each resistor, (c) voltage across each resistor, and (d) the power dissipated by each resistor.

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter10: Direct-current Circuits

Section: Chapter Questions

Problem 69AP: Consider the circuit below. The battery has an emf of = 30.00 V and an internal resistance of r =...

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Question

3. Three resistors with values of 60.0 N, 30.0 N,
and 20.0 N, respectively, are connected in
series to a 110.0 V battery of negligible
internal resistance. Draw a circuit diagram
and find the (a) equivalent resistance of
the combined resistors, (b) current flowing
through each resistor, (c) voltage drop
across each resistor, and (d) the power
dissipated by each resistor.
60.01
30.01
20.0 2
www
R.
R,
110.0 V
Given:
R, - 60.0 Ω:B = 30.0 Ω R, = 20.0 Ω V = 110.0 V
Solution and Answer:
(a) Rtotal = R1 + R2 + R3 = 60.0 N+ 30.0 N + 20.0 N = 110.0 N
(b) I .
Because resistors are in series, I = I, = I2 = l3 = 1.0 A
(c) V, = I,Rq = (1.0 A)(60.0 N) = 60.0 V
V2 = I½R2 = (1.0 A)(30.0 N) = 30.0 V
V3 = I3R3 = (1.0 A)(20.0 N) = 20.0 V
(d) P = V,l = (60.0 V)(1.0 A) = 60.0 W
P2 = V2l2 = (30.0 V)(1.0 A) = 30.0 W
P3 = V3l3 = (20.0 V)(1.0 A) = 20.0 W
V
110.0 V
= 1.0 A
Rtotal
110.0 A

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