The total charge entering a terminal is given by q = 5t sin 4 7t mC.Calculate the current at t = 0.5 s.Solution:dqidtd(5t sin 4 t) mC/s = (5 sin 4 7t + 20 t cos 4 t) mAdtAt t = 0.5,%3Di = 5 sin 27 + 10 cos 2 T0 + 107 31.42 mA

Answered: The total charge entering a terminal is…

Engineering

Electrical Engineering

The total charge entering a terminal is given by q = 5t sin 4mt mC. Calculate the current at t = 0.5 s. Solution:

Delmar's Standard Textbook Of Electricity

7th Edition

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Stephen L. Herman

Chapter20: Capacitance In Ac Circuits

Section: Chapter Questions

Problem 5PP: Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 -...

See similar textbooks

Related questions

Q: A 1,000 – ft length of copper wire (ρ = 10.37 Ω − CM⁄ft) has a resistance of 40.8 ohms. What would…

A: A network problem on finding resistance. Look below the explaination..

Q: A resistance of 2/(t + 20) Q and inductance of 4 H are connected in series to a battery of unknown…

A: Given that R= 2/(t+20) ohm L= 4 H i1= 0 A , t1= 0sec i2= 50A , t2= 2 sec

Q: Total charge entering a terminal is given as q=5tsin40t mC. Calculate the current at t=0.5 s.

A: Given; q=5tsin40t mCt=0.5 s

Q: Q1:a) Three coils each having resistance (6)2 and inductance (L)H are connecte d in star to 415V ,…

Q: For the network shown in Figure Q2(a), calculate the following i. the total charge; ii. the charge…

Q: if the rate of decreasing volume charge density equals to, 4*10^6 C/m^3*s, what is the total current…

A: In this question, we need to determine the current ? If rate of decrease volume charge 4×106 C/m3…

Q: 0.99 and z2 0.97 and where the 2. Consider a two-cell series-connected battery pack where cell…

A: Given data,Z1=0.99Z2=0.97Q1=31AhQ2=32AhZmin.=0.1OCV=3.3Present charge capacity in…

Q: 1.11 How much energy is imparted to an electron as it flows through a 6 V battery from the positive…

A: Given: Battery voltage, V=6 V Charge on electron, q=1.6×10-19 C

Q: For a Darsnival device with a moving coil prepared to read the electrical resistance, calculate the…

A: The device resistance Rm and the shunt resistance Rshare in parallel. The reading in the meter is in…

Q: A coil, of resistance 35 Ohm's and inductance 0.02 H, carries a current of 326.5 mA, when connected…

Q: total charge entering = 5tsin(4t) mC. Calculate the current at t = 0.5s. The terminal is given by: q…

Q: US 2. Determine the equivalent resistance between the terminals a and b

Q: The temperature coefficient of a wire of conducting materials is 0.004/°C at 20°C. The resistance of…

A: We need to find temperature at given resistance .

Q: How much energy is imparted to an electron as it flows through a 25 V battery from the positive to…

A: This question belongs to basic electrical. It is based on the concept of energy produced by the…

Q: An aluminum wire 7.5 m long is connected in parallel with a copper wire 6 m long. When a current of…

A: It is Given that: Length of alminium wire LA=7.5mLength of copper wire LC=6mTotal current=5ACurrent…

Q: A non- inductive resistor of 10 ohms requires a current of 8A and is to be feed from 1 200V 50Hz…

Q: An uncharged condenser in series with a 120-volt voltmeter of 10,000 ohms resistance is suddenly…

A: Given The resistance of voltmeter, R=10,000 The emf of battery, E =100V At t=1 second, the potential…

Q: A wire has a circular cross-section of radius r= 3.53 mm. The conductivity of the wire is 1x10^5…

Q: The formula for AC resistance is 1.6 times DC resistance. Select one: True False

A: We have to find out whether the given statement is TRUE or not

Q: Find the equivalent resistance seen by the independent source 2i, 3Ω 52 10V

A: Equivalent resistance seen from the independent source

Q: A constant inductance of 1 henry and variable resistance R = 1/(5 + t) ohms are connected in series…

Q: . A 0.1-m long nichrome wire has a cross-sectional area of 0.1 mm2. A 1.0-V potential difference is…

Q: The total current passing the terminal between ( t=1 sec and t= 1.5 sec ) equal 6A „if the charge…

A: Current is the the derivative of charge with respect to time Or Current is the rate of change of…

Q: %23 %23 C Capacitor Capacitance, C. pF Charge, Q. uC Voltage, V. Volts 40 60 Co 24 48 Cr 20

A: Given :C1=40 μFC2=60 μFC3=24 μFC4=48 μFVEF=20 V

Q: R=4.4 ohm a) calculate the time constant T of the circuit? d) calculate how much charge will be…

A: In the question If the R=4.4 ohm a) calculate the time constant T of the circuit? B) calculate how…

Q: A 100V, 80 W lamp is to be operated on a 240 V, 50 Hz supply. Calculate the value of (i)…

Q: A circuit takes a current of 8 A at 100 V, the current lagging by 30° behind the applied voltage.…

Q: A battery has an open circuit emf of 2.0V and an internal resistance of 0.94 Ohms. A resistance of…

A: Given, battery emf, E = 2 volts Internal resistance of battery, Rint = 0.94 ohm

Q: 3. Compute the voltage drop along a 25m length of household no. 14 copper wire. The wire has…

A: In this question, We need to determine the voltage across the resistance R If length of copper…

Q: A lead acid battery fitted in a truck develops 29V and has an internal resistance of 0.04 ohm.. It…

A: We have an Lead acid battery fitted in a truck witn, Generated Voltage (Eg) = 29 V Internal…

Q: The manufacturer of a 6 V dry-cell flashlight battery says that thebattery will deliver 15 mA for 60…

A: Given data, The value voltage of the dry cell is V = 6 V. The value of current is I = 15 mA = 0.015…

Q: 8.2 A flooded 12 V lead-acid battery is charged at a current of 10 A. The terminal voltage is…

A: Given data:

Q: The dark saturation current of a solar cell is 1.6E-8 A/m2, the cell temperature is 335 K, the…

Q: Using conventional current notation, we say that electric current flows from the positive battery…

Q: A No. 12 copper wire common to house wiring installations has a cross- sectional area of 0.00513…

A: Given Cross-sectional area = 0.00513 sq.in Current I = 15 Amp

Q: Match the following Instruments given in column 1 with respective quantities they read in column…

A: Given table,

Q: 4.) A voltage v = 220 sin (110t + TT/2) is applied to an inductor rated 40 mH. Find the r.m.s. value…

Q: A single energy meter has a meter constant of 200rev/kwh. When supplying a non-inductive load of 4.4…

Q: Consider the circuit of Figure 1, ɛ = 5V, R = 20, R1 = 10, L = 4.2 H, C = 6.1 F. Šuppose that switch…

Q: The circuit below has been energized for a long time, if E1=43 Volts, E2=50 Volts, calculate for the…

Q: a) Find the mathematical expression for current İ2(t)

A: Find the mathematical expression for current İ2(t) as per our guidelines we are supposed to…

Q: A) Consider solar PV system with following details: Radiation power input=980 W/m^2 Efficiency =30 %…

A: Given : Efficiency = 80 % Im = 9 A Voc = 36 V FF = 80% FF = 0.8 Pin = 980 W / m²…

Q: 5. The total charge entering a terminal is given by q = 5t sin 4πt mC. Calculate the current at t =…

A: Given, Total charge entering a terminal is given by q=5tsin4πt mC Time, t=0.5 s

Q: PRACTICE EXERCISE 4.10 If point charge 3 µC is located at the origin in addition to the two charges…

Q: An aluminum wire 7.5 m long is connected in parallel with a copper wire 6 m long. When a current of…

A: Given Length of alminium wire LA=7.5mLength of copper wire LC=6mTotal current=5ACurrent through…

Q: A charge of 0.20 uC is 30cm from a point charge of 3.0 uC in vacuum. What work is required to bring…

A: In this question, 0.20uC charge is placed 30cm to 3uC. Find the work to bring the charge 0.2uC to…

Q: 4.) An electric kettle is marked 500W, 230 V, and is found to take 15 min to raise the temperature…

Concept explainers

Capacitor

The capacitor is an element used to store electrical energy in the electrical field. A capacitor is a form of passive energy.

Question

The total charge entering a terminal is given by q = 5t sin 4 7t mC.
Calculate the current at t = 0.5 s.
Solution:
dq
i
dt
d
(5t sin 4 t) mC/s = (5 sin 4 7t + 20 t cos 4 t) mA
dt
At t = 0.5,
%3D
i = 5 sin 27 + 10 cos 2 T
0 + 107 31.42 mA

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A capacitor uses air as a dielectric and has a capacitance of 3 F. A dielectric material is inserted between the plates without changing the spacing, and the capacitance becomes 15 F. What is the dielectric constant of this material?
Three capacitors having capacitance values of 20F,40F, and 50F are connected in parallel to a 60 - Hz power line. An ammeter indicates a circuit current of 8.6 amperes. How much current is flowing through the 40F capacitor?
Consider the circuit shown below. b) a) What is the current through 220 22 when the 2N4441 is conducting? What is the capacitor voltage that will turn on the 2N4441? What is the minimum voltage that can turn-off the 2N4441? c) 0.2 μF 2.2 1 kQ 1N752 VB = 10 V 9+25 V 220 2N4441 V₁ = 1 V IT = 7 mA IH= 5 mA
Q1 (a) For the circuit in Figure Q1(a), the total charge, Q. is 0.0018 C. (i) Find the value of capacitance, C2 (ii) Calculate the voltage, Vi across capacitor C. (iii) Determine the charge, Qa stored in capacitor C4 C1 Qt +V- 40μF C3 C2 10F 10uF C4 90 V Figure Q1(a)
Solve the following values in figure 1.0. Total Capacitance, Ct. Total Charge, Qt. Individual Charge of C1 Individual Charge of C2 Individual Charge of C3
Q1 (a) For the circuit in Figure Q1(a), the total charge, Q. is 0.0018 C. (i) Find the value of capacitance, C2 (ii) Calculate the voltage, Vị across capacitor Cj. (iii) Determine the charge, Q4 stored in capacitor C4 C1 Qt +V- 40µF C3 CA 90 V C2 10F 10uF Figure Q1(a)
Consider the diagram of the following figure: Determine the charge voltage and energy of each of the capacitors. Make and complete your data table, if the voltage is 300 V C UF C₁= 30 C₂=60 C₁=22 C=74 Cs=32 Co=45 q μC V V W E 300 60μF 22HF C2 C3 30MF C1 CA 74 MF C5 32AF :C6 45MF
For a given reaction, AH = -27.7 kJ/mol and AS = -55.5 J/K-mol. The reaction will have at Assume that AH and AS do not vary with temperature. 0.499 2004 2.00 298 499
O 3G l. 3:09 moodle.najah.edu a МOODLE Recent - P Flag question The capacitors in figure, are initially uncharged. The capacitances are C1 = 4 µF, C2 = 8 µF, and C3 = 12 µF, and the battery's potential difference is V = 12 V. When switch S is closed, how many electrons travel throght point c S а C2 C1 C3 d Select one: a. 3 x 1014 b. 3 x 10-14 O c. 1.5 x 1014 O d. 48 O e. 13 x 1014 Next page
Find the current through the inductor shown in Figure lb. (i/p is AC, consider results upto one decimal place). 1. 100 V 100 Hz 500 L=60H Figure lb
The network Nc shown below in Figure 1.99(a) contains a combination of scaled capaci- tors in series and parallel connections. Using the vahues as shown, you are asked to do the following. (a) Calculate the value of the terminal capacitance Cab at terminals a-b. (b) To obtain an equivalent capacitance Ceq of 1.5F, Nc is to be placed either in series with a capacitance Cz as shown in Figure 1.99(b) or in parallel with Cx as shown in Figure 1.99(c). Determine which connection is correct and calculate the value of C; that will produce the value of 1.5F for Ceg- 4F 2F 3F 1F C OF (a) N. N. 2. (b) (c) Figure 1.99 (a) Capacitor combo Nc (b) Nc in series with C, (c) Ne in parallel with C,
A 20-ohm resistor and a capacitor are connected in series with a battery of 60 volts. At t = 0, there is no charge on the capacitor. Find the capacitance if the current at t = 5 seconds is 3/e^s amperes. Ans. 0.05 Farads