The figure below shows a circuit consisting of three ideal batteries and four resistors. The batteries have emfs &₁ = 2.0 V and E2 E3 = 4.0 V. The resistances are R₁ = 1.0 and R₂ = 2.0. R₁ +18, R₁ a R₁ www Est R₂ + Eq R₁ (a) What is the current (magnitude and direction) in each battery? (b) What is the potential difference V₁ - V₁ between the points a and b indicated in the figure? (c) Check your results by checking the sum of the currents at the node you did not use for your node equations and the voltages in a loop you did not use. (d) Check your results by choosing ground at one point in the circuit as your V=0 reference and finding each unique voltage in the circuit and labeling the circuit with those voltages.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 40P: Four resistors are connected to a battery as shown in Figure P21.40. The current in the battery is...
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The figure below shows a circuit consisting of three ideal batteries and four resistors. The batteries
have emfs &₁ = 2.0V and E2 E3 = 4.0 V. The resistances are R₁ = 1.0 and R₂ = 2.0.
R₁
R₁
ww
18,
R₁
a
R₂
Est
€18₂
E2
R₁
(a) What is the current (magnitude and direction) in each battery?
(b) What is the potential difference V₁ - V₁ between the points a and b indicated in the figure?
(c) Check your results by checking the sum of the currents at the node you did not use for your
node equations and the voltages in a loop you did not use.
(d) Check your results by choosing ground at one point in the circuit as your V=0 reference and
finding each unique voltage in the circuit and labeling the circuit with those voltages.
Transcribed Image Text:The figure below shows a circuit consisting of three ideal batteries and four resistors. The batteries have emfs &₁ = 2.0V and E2 E3 = 4.0 V. The resistances are R₁ = 1.0 and R₂ = 2.0. R₁ R₁ ww 18, R₁ a R₂ Est €18₂ E2 R₁ (a) What is the current (magnitude and direction) in each battery? (b) What is the potential difference V₁ - V₁ between the points a and b indicated in the figure? (c) Check your results by checking the sum of the currents at the node you did not use for your node equations and the voltages in a loop you did not use. (d) Check your results by choosing ground at one point in the circuit as your V=0 reference and finding each unique voltage in the circuit and labeling the circuit with those voltages.
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