Questions and Answers of Schaum S Outline Of Electric Circuits

Find the power absorbed by the generalized circuit element in Fig. 2-17, for(a) v = 50 V, (b) v = −50 V. i=8.5 A
Find the power delivered by the sources in the circuit of Fig. 2-18. i= 20 - 50 3 = -10 A
Find the current i in the circuit shown in Fig. 2-22, if the control v2 of the dependent voltage source has the value(a) 4 V, (b) 5 V,(c) 10 V. 5Ω w 5.12 * ) 25 V
In the circuit shown in Fig. 2-23, find the current, i, given (a) i1 = 2 A, i2 = 0; (b) i1 = − 1A, i2 = 4 A;(c) i1 = i2 = 1 A. 412 t ↓² R ↑ Si,
A 25.0-Ω resistance has a voltage v = 150.0 sin 377t (V). Find the power p and the average power pavg over one cycle.
Find the voltage across the 10.0-Ω resistor in Fig. 2-19 if the control current ix in the dependent source is(a) 2 A and (b) −1 A. 4ix ↑ i + SI V 10.092 4.0 A
A 1-μF capacitor with an initial charge of 10−4 C is connected to a resistor R at t = 0. Assume discharge current during 0 < t < 1 ms is constant. Approximate the capacitor voltage drop at t = 1
The actual discharge current in Problem 2.25 is i = (100/R)e-106 t/R A. Find the capacitor voltage drop at 1 ms after connection to the resistor for(a) R = 1 MΩ;(b) R = 100 kΩ;(c) R = 10 kΩ.Data
A 10-μF capacitor discharges in an element such that its voltage is v = 2e−1000t. Find the current and power delivered by the capacitor as functions of time.
The current delivered by a current source is increased linearly from zero to 10 A in 1 ms time and then is decreased linearly back to zero in 2 ms. The source feeds a 3-kΩ resistor in series with a
Find voltage v, current i, and energy W in the capacitor of Problem 2.27 at time t = 0, 1, 3, 5, and 10 ms. By integrating the power delivered by the capacitor, show that the energy dissipated in the
The voltage of a 5-μF capacitor is increased linearly from zero to 10 V in 1 ms time and is then kept at that level. Find the current. Find the total energy delivered to the capacitor and verify
A 10-μF capacitor is charged to 2 V. A path is established between its terminals which draws a constant current of I0. (a) For I0 = 1 mA, how long does it take to reduce the capacitor voltage to 5
Energy gained (or lost) by an electric charge q traveling in an electric field is qv, where v is the electric potential gained (or lost). In a capacitor with charge Q and terminal voltage V, let all
The time profile of the discharge current in a typical cloud-to-ground lightning strike is modeled by a triangle. The surge takes 1 μs to reach the peak value of 100 kA and then is reduced to zero
The semiconductor diode of Example 2.4 is placed in the circuit of Fig. 2-25. Find the current for(a) Vs = 1 V, (b) Vs = −1 V.Data from Example 2.4The current and voltage characteristic of a
Find the cloud-to-ground capacitance in Problem 2.33 just before the lightning strike.Data from problem 2.33The time profile of the discharge current in a typical cloud-to-ground lightning strike is
The current in a cloud-to-ground lightning strike starts at 200 kA and diminishes linearly to zero in 100 μs. Find the energy released W and the capacitance of the cloud to ground C if the voltage
The diode in the circuit of Fig. 2-26 is ideal. The inductor draws 100 mA from the voltage source. A 2-μF capacitor with zero initial charge is also connected in parallel with the inductor through
Compute the static and dynamic resistances of the diode of Example 2.4 at the operating point v = 0.66 V.Data from Example 2.4The current and voltage characteristic of a semiconductor diode in the
The diode of Example 2.4 operates within the range 10 mA Data from Example 2.4The current and voltage characteristic of a semiconductor diode in the forward direction is measured and recorded in the
The diode of Example 2.4 operates within the range of 20 mA Data from Example 2.4The current and voltage characteristic of a semiconductor diode in the forward direction is measured and recorded in
Within the operating range of 20 mA Data from Example 2.4The current and voltage characteristic of a semiconductor diode in the forward direction is measured and recorded in the following table: v
Write the KVL equation for the circuit shown in Fig. 3-1. Va R₁ + 0₁ V3 R3 Vb +- + 21/2 R₂
Find V3 and its polarity if the current I in the circuit of Fig. 3-7 is 0.40 A. 50.0 V 5.0 Ω Μ ( V₂ 10.0 V +- 20.0 Ω
Find the source voltage V and its polarity in the circuit shown in Fig. 3-15 if(a) I = 2.0 A and (b) I = −2.0 A. 20.0 V 1052 www I ww 50 a b V
Write the KCL equation for the principal node shown in Fig. 3-2. із ܕܐ DE
Obtain the currents I1 and I2 for the network shown in Fig. 3-8. 3.0 A 2.0 A a b 7.0 A С d 1.0 A 4.0 A
Find Req for the circuit of Fig. 3-16 for(a) Rx = ∞,(b) Rx = 0, and(c) Rx = 5 Ω. 16 Ω ww 20 Ω Ω Rx
Find the current I for the circuit shown in Fig. 3-9. 2.0 A www -3.0 A www ww I 4.0 A
The equivalent resistance of three resistors in series is 750.0 Ω. Two of the resistors are 40.0 and 410.0 Ω. What must be the ohmic resistance of the third resistor?
Find the equivalent resistance for the circuit shown in Fig. 3-10. ww 20 Ω www την 20 Ω Ω • 20 Ω w 10Ω
An inductance of 8.0 mH is in series with two inductances in parallel, one of 3.0 mH and the other 6.0 mH. Find Leq.
Two capacitors, C1 = 2.0 μF and C2 = 10.0 μF, are connected in series. Find the equivalent capacitance. Repeat if C2 is 10.0 pF.
Show that for the three capacitances of equal value shown in Fig. 3-17, Ceq = 1.5 C. I C с
Determine the equivalent inductance of the three parallel inductances shown in Fig. 3-11. L₁ 10 mH 42 20 mH L3 20 mH
Obtain the equivalent resistance of(a) Two 60.0-Ω resistors in parallel and (b) Three 60.0-Ω resistors in parallel.
Find RH and RO for the voltage divider in Fig. 3-18 so that the current I is limited to 0.5 A when VO = 100 V. 1 MV RH www Ro Vo
Express the total capacitance of the three capacitors in Fig. 3-12. C₁ C₂ C3
Two inductances L1 = 3.0 mH and L2 = 6.0 mH are connected in parallel. Find Leq.
Using voltage division, calculate V1 and V2 in the network shown in Fig. 3-19. 36.0 Ո Հ 12.0 2 74.0 2 16.4 Ո 105.0 V 103.2 Ոչv, 28.7 2 w
The circuit shown in Fig. 3-13 is a voltage divider, also called an attenuator. When it is a single resistor with an adjustable tap, it is called a potentiometer, or pot. To discover the effect of
A voltage divider circuit consists of two resistors in series and with a total resistance of 50.0 Ω. If the output voltage is 10 percent of the input voltage, obtain the values of the two resistors
Obtain the source current I and the total power delivered to the circuit in Fig. 3-20. ΣΩ 4 Ω 2 Ω ΠΑΡΑ 4.0 A
Find all branch currents in the network shown in Fig. 3-14(a). ↓ 12 Ո L 8 Ո 5 Ո HL- 2 Ե 2 Ո 13.7 A 6 0 .. 3.
Show that for four resistors in parallel the current in one branch, for example the branch of R4, is related to the total current by 11 R₁² 1₁ = 1T R' R₁ + R where R' = R₁ R₂ R₂ R₁
A current of 30.0 mA is to be divided into two branch currents of 20.0 mA and 10.0 mA by a network with an equivalent resistance equal to or greater than 10.0 Ω. Obtain the branch resistances.
A power transmission line carries current from a 6000-V generator to three loads, A, B, and C. The loads are located at 4, 7, and 10 km from the generator and draw 50, 30, and 100 A, respectively.
In the circuit of Fig. 3-22, R = 0 and i1 and i2 are unknown. Find i and vAC. 10 A i₁ A D 492 R www B с 352 4 A
In the circuit of Fig. 3-22, R = 1 Ω and i1 = 2 A. Find, i, i2, and vAC. 10 A A D 492 R B с 352 4A N
In the circuit of Fig. 3-23, is1 = vs2 = 0, vs1 = 9 V, is2 = 12 A. For the four cases of(a) R = 0, (b) R = 6 Ω, (c) R = 9 Ω, and (d) R = 10 000 Ω, draw the simplified circuit and find iBA and
In the circuit of Fig. 3-23, vs1 = vs2 = 0, is1 = 6 A, is2 = 12 A. For the four cases of(a) R = 0,(b) R = 6 Ω,(c) R = 9 Ω, and(d) R = 10 000 Ω, draw the simplified circuit and find iBA and vAC.
In the circuit of Fig. 3-24,(a) Find the resistance seen by the voltage source, Rin = v/i, as a function of a, and (b) Evaluate Rin for a = 0, 1, 2. w ww R +1
In the circuit of Fig. 3-24,(a) Find power P delivered by the voltage source as a function of a, and (b) Evaluate P for a = 0, 1, 2. +1 R ww ai
In the circuit of Fig. 3-24, let a = 2. Connect a resistor Rx in parallel with the voltage source and adjust it within the range 0 ≤ Rx ≤ 0.99 R such that the voltage source delivers minimum
In the circuit of Fig. 3-25, R1 = 0 and b = 100. Draw the simplified circuit and find v for R = 1 kΩ and 10 kΩ. 10 mV (+ | ww 1 ΚΩ Μ R₁ bi t R
In the circuit of Fig. 3-25, R1 = 0 and R = 1 kΩ. Draw the simplified circuit and find v for b = 50, 100, 200. Note that v changes proportionally with b. Θ 10 mV (+ www 1 ΚΩ Μ R₁ bi t R Τ
In the circuit of Fig. 3-25, R1 = 100 Ω and R = 11 kΩ. Draw the simplified circuit and find v for b = 50, 100, 200. Compare with corresponding values obtained in Problem 3.27 and note that in the
Place a 1-Ω linear resistor between the nonlinear element of Problem 3.29 and the voltage source. See Fig. 3-26(b). Find the element’s current if the voltage source is(a) v = 1 + sin t and(b) v =
A nonlinear element is modeled by the following terminal characteristic.Find the element’s current if it is connected to a voltage source with(a) v = 1 + sin t and(b) v = −1 + sin t.See Fig. 3-26
Apply the mesh current method to the network of Fig. 4-33 and write the matrix equations by inspection. Obtain current I1 by expanding the numerator determinant about the column containing the
Use branch currents in the network shown in Fig. 4-17 to find the current supplied by the 60-V source. 60 V ΤΩ 12 12 Ω 1₁ ΦΩ 12 Ω
Obtain the current in each branch of the network shown in Fig. 4-1 using the branch current method. 20 v ( ν +1 I 5 Ω www b 15 10 Ω 2 Ω 12 +1 8 V
Solve Problem 4.1 by the mesh current method.Data from Problem 4.1Use branch currents in the network shown in Fig. 4-17 to find the current supplied by the 60-V source. 60 V (+ 70 www 四 120 60 h 12
Loop currents are shown in the network of Fig. 4-34. Write the matrix equation and solve for the three currents. 10 v (t US m 22 Ω 1 www ΖΩ υε 3 Ω ww ww 4 Ω +) 20 v | V
Solve the network of Problems 4.1 and 4.2 by the node voltage method. See Fig. 4-19.Data from Problem 4.1Use branch currents in the network shown in Fig. 4-17 to find the current supplied by the 60-V
Obtain the current in each branch of the network shown in Fig. 4-2 (same as Fig. 4-1) using the mesh current method. 1+ 20 V (+ R 50 -m 252 10 Ω 1₂ B +8 V
When KVL is applied to the three-mesh network of Fig. 4-3, the following three equations are obtained: V₂ V. (+ RA I₁ Ra Rc 12 RD RE 13
Solve matrix equation (6) of Example 4.3 by the method of determinants.Data from matrix Equation 6Data from Example 4.3When KVL is applied to the three-mesh network of Fig. 4-3, the following three
In Problem 4.2, obtain Rinput,1 and use it to calculate I1.Data from Problem 4.2Solve Problem 4.1 by the mesh current method. 60 V (+ 70 www 四 120 60 h 12 0
In the network shown in Fig. 4-36, I0 = 7.5 mA. Use mesh currents to find the required source voltage Vs. Մ 8 www m 12 2 17 Ո 0 UP Ո Հ6 Ո 9 ºf 09:
Solve the circuit of Example 4.2 using the node voltage method.Data from Example 4.2Obtain the current in each branch of the network shown in Fig. 4-2 (same as Fig. 4-1) using the mesh current
Use appropriate determinants of Problem 4.20 to obtain the input resistance as seen by the source voltage Vs. Check the result by network reduction.Data from Problem 4.20In the network shown in Fig.
Obtain Rtransfer,12 and Rtransfer,13 for the network of Problem 4.2 and use them to calculate I2 and I3.The cofactor of the 1,2-element in ΔR must include a negative sign:Data from Problem 4.2Solve
Obtain the total power supplied by the 60-V source and the power absorbed in each resistor in the network of Fig. 4-6. 60 V g 7Ω 12 Ω e 1 C d 6Ω a ΖΩ 5 Ω
For the network shown in Fig. 4-36, obtain the transfer resistance which relates the current I0 to the source voltage Vs. V, U8 ww 12 0 :70 40 62 Io U9
Solve Problem 4.1 by use of the loop currents indicated in Fig. 4-20. 60 v ( + V 7 Ո ww 12 0 I: 6 2 I, 12 0
Find the input resistance seen by the voltage source in the circuit of Fig. 4-6. 60 V 8 Uι 12 Ω e Ι C d 6Ω ΖΩ US b
For the network shown in Fig. 4-37, obtain the mesh currents. 50 60 18 0 I2 OOO US 4n 40
Write the mesh current matrix equation for the network of Fig. 4-21 by inspection, and solve for the currents. 2 Ո I ՏՈ 10 2 +) 25 v Է 4 Ո 2 2 I 50 V
Using the matrices from Problem 4.23 calculate Rinput,1, Rtransfer,12, and Rtransfer,13.Data from Problem 4.23For the network shown in Fig. 4-37, obtain the mesh currents. 50 60 18 0 I2 OOO US 4n 40
Solve Problem 4.7 by the node voltage method.Data from Problem 4.7Write the mesh current matrix equation for the network of Fig. 4-21 by inspection, and solve for the currents. 2 Ո I ՏՈ 10 2 +) 25
In the network shown in Fig. 4-38, obtain the four mesh currents. 5 Ω 5 Ω I 20 V +- 13 5 Ω 4 Ω ΖΩ w 12 10 V 3 Ω I ww 4 Ω
For the network shown in Fig. 4-23, find Vs which makes I0 = 7.5 mA. 8 2 V₁ 12 Ո Ut .7 2 ref. 2 9 Io 6 Ո Հ Մ 9
For the circuit shown in Fig. 4-39, obtain Vo.c., Is.c., and R′ at the terminals ab using mesh current or node voltage methods. Consider terminal a positive with respect to b. 20 v (+ +1 52 8
In the network shown in Fig. 4-24, find the current in the 10-Ω resistor. 2 A 10 (2 50 20 X 2 ref. 4 A
Obtain the Thévenin and Norton equivalent circuits for the active network in Fig. 4-13(a). With terminals ab open, the two sources drive a clockwise current through the 3-Ω and 6-Ω resistors [Fig.
Use the node voltage method to obtain Vo.c. and Is.c. at the terminals ab of the network shown in Fig. 4-40. Consider a positive with respect to b. 50 V + 452 M 20 5 Ω 252 O a + 20 V -Ob
Find the voltage Vab in the network shown in Fig. 4-25. 24 Ο 2 Α a US 1, m US X 10 Ω sv b ΦΩ 4ΩΙ των 30 V
Use network reduction to obtain the current in each of the resistors in the circuit shown in Fig. 4-41. 18 V ( † 2.45 Ո 10.0 2 6.7 2 12.0 2 17.47 2 6.30 Դ
A two-terminal circuit characterized by v1 − 4i1 − 1 = 0 is connected to another two-terminal circuit characterized by i2 − 2v2 + 4 = 0 as shown in Fig. 4-58. Find the terminal current and
For the ladder network of Fig. 4-26, obtain the transfer resistance as expressed by the ratio of Vin to I4. 10 Ω 10 (2 10 Ω ww COCO b RL
Both ammeters in the circuit shown in Fig. 4-42 indicate 1.70 A. If the source supplies 300 W to the circuit, find R1 and R2. A 2802 R₁ ww A Source 1 95 Ո R₂ 154.3
(a) Find the terminal characteristics of the series combination of two circuits characterized by v1 − 4i1 − 1 = 0 and i2 − 2v2 + 4 = 0, as shown in Fig. 4-60(a). (b) Repeat if the two circuits
In the network shown in Fig. 4-43 the two current sources provide I′ and I″ where I′ + I′′ = I. Use superposition to obtain these currents. 5 A 12 Ω 8 Ω 30 Ω 25 A
Obtain a Thévenin equivalent for the circuit of Fig. 4-26 to the left of terminals ab. 10 2 Տ Ո 10 2 h₂ ՏՈ 10 2 Is.c. 5 Ո b
Use superposition to find the current I from each voltage source in the circuit shown in Fig. 4-30. 460 V 27 Ω 47 Ω 200 V 27 Ω
Obtain the current in each resistor in Fig. 4-31(a), using network reduction methods. 25 V (+ IA w U9 18-> w UE 10↓ Ic 402 402 Ut 202 IF LE '4 Ω
Obtain the current I in the network shown in Fig. 4.44. 30 2 A 1+ 4 V + VR 20 5 Ω w 1 + 3VR
Find the value of the adjustable resistance R which results in maximum power transfer across the terminals ab of the circuit shown in Fig. 4-32. 100 v ( www 10 Ո 52 15 Ո 2 b R

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