Electric Circuits. (11th Edition)
11th Edition
ISBN: 9780134746968
Author: James W. Nilsson, Susan Riedel
Publisher: PEARSON
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Chapter 3.4, Problem 4AP
(a)
To determine
Calculate the voltage
(b)
To determine
Calculate the current through the
(c)
To determine
Calculate the power absorbed by the
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-E1 + VR1 + VR4 – E2 + VR3 = 0 -------> Loop 1 (a)
R1(I1) + R4(I1 – I2) + R3(I1) = E1 + E2 ------> Loop 1 (b)
R1(I1) + R4(I1) - R4(I2) + R3(I1) = E1 + E2 ------> Loop 1 (c)
(R1 + R3 + R4) (I1) - R4(I2) = E1 + E2 ------> Loop 1 (d)
Now that we have loop 1 equation will procced on finding the equation of I2 current loop. However, a reminder that because we are going in a clockwise direction, it goes against the direction of the current. As such we will get an equation for the matrix that will be:
E2 – VR4 – VR2 + E3 = 0 ------> Loop 2 (a)
-R4(I2 – I1) -R2(I2) = -E2 – E3 ------> Loop 2 (b)
-R4(I2) + R4(I1) - R2(I2) = -E2 – E3 -----> Loop 2 (c)
R4(I1) – (R4 + R2)(I2) = -E2 – E3 -----> Loop 2 (d)
These two equations will be implemented to the matrix formula I = inv(A) * b
R11 R12
(R1 + R3 + R4)
-R4
-R4
R4 + R2
Chapter 3 Solutions
Electric Circuits. (11th Edition)
Ch. 3.2 - For the circuit shown, find (a) the voltage υ, (b)...Ch. 3.3 - Find the no-load value of υo in the circuit...Ch. 3.3 -
Find the value of R that will cause 4 A of...Ch. 3.4 - Use voltage division to determine the voltage υo...Ch. 3.5 - a. Find the current in the circuit shown.
b. If...Ch. 3.5 - Find the voltage υ across the 75 kΩ resistor in...Ch. 3.6 - The bridge circuit shown is balanced when R1 = 100...Ch. 3.7 - Use a Y-to-Δ transformation to find the voltage υ...Ch. 3 - For each of the circuits shown in Fig. P...Ch. 3 - Prob. 2P
Ch. 3 - Prob. 3PCh. 3 - Prob. 4PCh. 3 - Prob. 5PCh. 3 - Prob. 6PCh. 3 - In the circuits in Fig. P 3.7(a)–(d), find the...Ch. 3 - Prob. 8PCh. 3 - Find the power dissipated in each resistor in the...Ch. 3 - In the voltage-divider circuit shown in Fig. P...Ch. 3 - Calculate the no-load voltage υo for the...Ch. 3 - The no-load voltage in the voltage-divider circuit...Ch. 3 - Assume the voltage divider in Fig. P3.14 has been...Ch. 3 - The voltage divider in Fig. P3.16 (a) is loaded...Ch. 3 - There is often a need to produce more than one...Ch. 3 - For the current-divider circuit in Fig. P3.19...Ch. 3 - Find the power dissipated in the 30 resistor in...Ch. 3 - Specify the resistors in the current-divider...Ch. 3 - Show that the current in the kth branch of the...Ch. 3 - Look at the circuit in Fig. P3.1 (a).
Use voltage...Ch. 3 - Look at the circuit in Fig. P3.1 (d).
Use current...Ch. 3 - Attach a 6 V voltage source between the terminals...Ch. 3 - Look at the circuit in Fig. P3.7(a).
Use current...Ch. 3 - Prob. 27PCh. 3 - Prob. 28PCh. 3 - For the circuit in Fig. P3.29, calculate i1 and i2...Ch. 3 - Find υ1 and υ2 in the circuit in Fig. P3.30 using...Ch. 3 - Find υo in the circuit in Fig. P3.31 using voltage...Ch. 3 - Find the voltage υx in the circuit in Fig. P3.32...Ch. 3 - A shunt resistor and a 50 mV. 1 mA d’Arsonval...Ch. 3 - Show for the ammeter circuit in Fig. P3.34 that...Ch. 3 - A d'Arsonval ammeter is shown in Fig....Ch. 3 - A d'Arsonval movement is rated at 2 mA and 100 mV....Ch. 3 - A d’Arsonval voltmeter is shown in Fig. P3.37....Ch. 3 - Suppose the d’Arsonval voltmeter described in...Ch. 3 - The ammeter in the circuit in Fig. P3. 39 has a...Ch. 3 - The ammeter described in Problem 3.39 is used to...Ch. 3 - The elements in the circuit in Fig2.24. have the...Ch. 3 - The voltmeter shown in Fig. P3.42 (a) has a...Ch. 3 - Assume in designing the multirange voltmeter shown...Ch. 3 - The voltage-divider circuit shown in Fig. P3.44 is...Ch. 3 - Prob. 45PCh. 3 - You have been told that the dc voltage of a power...Ch. 3 - Prob. 47PCh. 3 - Design a d'Arsonval voltmeter that will have the...Ch. 3 - Prob. 49PCh. 3 - Prob. 50PCh. 3 - The bridge circuit shown in Fig. 3.28 is energized...Ch. 3 - Find the detector current id in the unbalanced...Ch. 3 - Find the power dissipated in the 18Ω resistor in...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Find the current and power supplied by the 40 V...Ch. 3 - Use a Δ-to-Y transformation to find the voltages...Ch. 3 - Prob. 59PCh. 3 - Find io and the power dissipated in the 140Ω...Ch. 3 - Find the equivalent resistance Rab in the circuit...Ch. 3 - Find the resistance seen by the ideal voltage...Ch. 3 - Show that the expressions for Δ conductances as...Ch. 3 - Prob. 65PCh. 3 - Prob. 66PCh. 3 - Prob. 67PCh. 3 - The design equations for the bridged-tee...Ch. 3 - Prob. 69PCh. 3 - Prob. 70PCh. 3 - Prob. 71PCh. 3 - Prob. 72PCh. 3 - Prob. 73PCh. 3 - Prob. 74PCh. 3 - Prob. 75P
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