The figure below shows a circuit consisting of three ideal batteries and four resistors. The batteries have emfs E1 = 2.0 V and E2 E3 = 4.0 V. The resistances are R₁ 1.02 and R2 = 2.0. R₁ my m 8,1 +18, R₁ a R₁ 150 40 82 R₁ = (a) What is the current (magnitude and direction) in each battery? (b) What is the potential difference Va - Vb 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.

The figure below shows a circuit consisting of three ideal batteries and four resistors. The batteries have emfs E1 = 2.0 V and E2 E3 = 4.0 V. The resistances are R₁ 1.02 and R2 = 2.0. R₁ my m 8,1 +18, R₁ a R₁ 150 40 82 R₁ = (a) What is the current (magnitude and direction) in each battery? (b) What is the potential difference Va - Vb 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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Four resistors are connected to a battery as shown in Figure P21.40. The current in the battery is I, the battery emf is , and the resistor values are R1 = R, R2 = 2R, R3 = 4R, and R4 = 3R. (a) Rank the resistors according to the potential difference across them, from largest to smallest. Note any cases of equal potential differences. (b) Determine the potential difference across each resistor in terms of . (c) Rank the resistors according to the current in them, from largest to smallest. Note any cases of equal currents. (d) Determine the current in each resistor in terms of I. (e) If R3 is increased, what happens to the current in each of the resistors? (f) In the limit that R3 , what are the new values of the current in each resistor in terms of I, the original current in the battery? Figure P21.40
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If the terminals of a battery with zero internal resistance are connected across two identical resistors in series, the total power delivered by the battery is 8.00 W. If the same battery is connected across the same resistors in parallel, what is the total power delivered by the battery? (a) 16.0 W (b) 32.0 W (c) 2.00 W (d) 4.00 W (e) none of those answers
For the network in Figure P18.60, show that the resistance between points a and b is Rab=2717. (Hint: Connect a battery with emf across points a and b and determine /I, where I is the current in the battery.) Figure P18.60
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A child's electronic toy is supplied by three 1.58-V alkaline cells having internal resistances of 0.0200 inseries with a 1.53-V carbon-zinc dry cell having a 0.100- internal resistance. The load resistance is 10.0 . (a) Draw a circuit diagram of the toy and itsbatteries, (b) What current flows? (c) How much power is supplied to the load? (d) What is the internal resistance of the dry cell if it goes bad, resulting in only 0.500 W being supplied to the load?
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When resistors with different resistances are connected in series, which of the following must be the same for each resistor? Choose all correct answers. (a) potential difference (b) current (c) power delivered (d) charge entering each resistor in a given time interval (e) none of those answers