Principles Of Electric Circuits
10th Edition
ISBN: 9780134879482
Author: Floyd, Thomas L.
Publisher: Pearson,
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Textbook Question
Chapter 3, Problem 14P
Does the graph in Problem 13 indicate a linear relationship between voltage and current? Explain.
13. Plot a graph of current versus voltage for voltage values ranging from 10 V to 100 V in 10 V steps for each of the following resistance values:
- a. 1.0 Ω
- b. 5.0 Ω
- c. 20 Ω
- d. 100 Ω
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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
10.2 For each of the following groups of sources, determineif the three sources constitute a balanced source, and if it is,determine if it has a positive or negative phase sequence.(a) va(t) = 169.7cos(377t +15◦) Vvb(t) = 169.7cos(377t −105◦) Vvc(t) = 169.7sin(377t −135◦) V(b) va(t) = 311cos(wt −12◦) Vvb(t) = 311cos(wt +108◦) Vvc(t) = 311cos(wt +228◦) V(c) V1 = 140 −140◦ VV2 = 114 −20◦ VV3 = 124 100◦ V
Apply single-phase equivalency to determine the linecurrents in the Y-D network shown in Fig. P10.13. The loadimpedances are Zab = Zbc = Zca = (25+ j5) W
Chapter 3 Solutions
Principles Of Electric Circuits
Ch. 3 - If the current drops to 10 mA under the same...Ch. 3 - If the sense resistor develops 0.8 V across it,...Ch. 3 - Calculate the current in Figure 3-71 if R is...Ch. 3 - What is the current in mA produced by 1 kV across...Ch. 3 - How much current is there through a 6.8 M resistor...Ch. 3 - In Figure 3-10, how much voltage is required to...Ch. 3 - lf there are 3.2 A through a 47 resistor, what is...Ch. 3 - If there are 450 A through a 3.9 M resistor, what...Ch. 3 - In the circuit of Figure 3-13, how much resistance...Ch. 3 - If one of the grid wires opens, the current drops...
Ch. 3 - If the resistor is changed in Figure 3-14 so that...Ch. 3 - If the total resistance of a circuit increases and...Ch. 3 - Ohms law for finding resistance is R = I/V.Ch. 3 - When milliamps and kilohms are multiplied...Ch. 3 - If a 10 k resistor is connected to a 10 V source,...Ch. 3 - The current in a fixed resistor is directly...Ch. 3 - Ohms law for finding current is I = V/R.Ch. 3 - When microamps and megohms are multiplied, the...Ch. 3 - When voltage is constant, current is inversely...Ch. 3 - Ohms law for finding voltage is V = I/R.Ch. 3 - When I is plotted as a function of V for a fixed...Ch. 3 - Ohms law states that 1. current equals voltage...Ch. 3 - When the voltage across a resistor is doubled, the...Ch. 3 - When 10 V are applied across a 20 resistor, the...Ch. 3 - When there are 10 mA of current through 1.0 k...Ch. 3 - If 20 V are applied across a resistor and there...Ch. 3 - A current of 250 A through a 4.7 k resistor...Ch. 3 - A resistance of 2.2 M is connected across a 1 kV...Ch. 3 - How much resistance is required to limit the...Ch. 3 - An electric heater draws 2.5 A from a 110 V...Ch. 3 - The current through a flashlight bulb is 20 mA and...Ch. 3 - If the current through a fixed resistor goes from...Ch. 3 - If the voltage across a fixed resistor goes from...Ch. 3 - A variable resistor has 5 V across it. If you...Ch. 3 - If the voltage across a resistor increases from 5...Ch. 3 - If larger voltages are applied and results are...Ch. 3 - If the IV curve for a larger value resistor is...Ch. 3 - If the voltmeter reading changes to 175 V, the...Ch. 3 - If is changed to a larger value and the voltmeter...Ch. 3 - If the resistor is removed from the circuit...Ch. 3 - If the resistor is removed from the circuit...Ch. 3 - If the rheostat is adjusted to increase the...Ch. 3 - If the rheostat is adjusted to increase the...Ch. 3 - If the fuse opens, the voltage across the heating...Ch. 3 - If the source voltage increases, the voltage...Ch. 3 - If the fuse is changed to one with a higher...Ch. 3 - If the lamp burns out (opens), the current a....Ch. 3 - If the lamp burns out, the voltage across it a....Ch. 3 - In a circuit consisting of a voltage source and a...Ch. 3 - State the formula used to find I when the values...Ch. 3 - State the formula used to find V when the values...Ch. 3 - State the formula used to find R when the values...Ch. 3 - A variable voltage source is connected to the...Ch. 3 - In a certain circuit, I = 5 mA when V = 1 V....Ch. 3 - Figure 322 is a graph of current versus voltage...Ch. 3 - Plot the currentvoltage relationship for a...Ch. 3 - Plot the currentvoltage relationship for a...Ch. 3 - Determine the current in each circuit in Figure...Ch. 3 - You are measuring the current in a circuit that is...Ch. 3 - (a) If you wish to increase the amount of current...Ch. 3 - Plot a graph of current versus voltage for voltage...Ch. 3 - Does the graph in Problem 13 indicate a linear...Ch. 3 - Figure 3-24 shows an IV curve for a certain light...Ch. 3 - For the bulb graphed in Figure 3-24, what is the...Ch. 3 - Determine the current in each case: a. V = 5 V, R...Ch. 3 - Determine the current in each case: a. V = 9 V, R...Ch. 3 - Assume 200 mV is across a 330 m current sensing...Ch. 3 - A certain resistor has the following color code:...Ch. 3 - A 4-band resistor is connected across the...Ch. 3 - A 5-band resistor is connected across a 12 V...Ch. 3 - If the voltage in Problem 22 is doubled, will a...Ch. 3 - A certain rear window defroster has a resistance...Ch. 3 - If the voltage of the battery in problem 24 drops...Ch. 3 - The potentiometer connected as a rheostat in...Ch. 3 - A 270 current-limiting resistor has a voltage of...Ch. 3 - A small solar cell is connected to a 27 k...Ch. 3 - Calculate the voltage for each value of I and R:...Ch. 3 - Calculate the voltage for each value of I and R:...Ch. 3 - Three amperes of current are measured through a 27...Ch. 3 - Assign a voltage value to each source in the...Ch. 3 - A 6 V source is connected to a 100 resistor by...Ch. 3 - Calculate the resistance of a rheostat for each...Ch. 3 - Calculate the resistance of a rheostat for each...Ch. 3 - Six volts is applied across a resistor. A current...Ch. 3 - The filament of a lamp in the circuit of Figure...Ch. 3 - A certain electrical device has an unknown...Ch. 3 - By varying the rheostat (variable resistor) in the...Ch. 3 - In the light circuit of Figure 329, identify the...Ch. 3 - Assume you have a 32-light string and one of the...
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