A resistor and a capacitor are connected in series across a supply of 250V. When the supply frequency is 50HZ, the current in the circuit is 5A. When the supply frequency is 60HZ, the current is 5.5A. Find the value of the capacitance.

A resistor and a capacitor are connected in series across a supply of 250V. When the supply frequency is 50HZ, the current in the circuit is 5A. When the supply frequency is 60HZ, the current is 5.5A. Find the value of the capacitance.

Electricity for Refrigeration, Heating, and Air Conditioning (MindTap Course List)

10th Edition

ISBN:9781337399128

Author:Russell E. Smith

Publisher:Russell E. Smith

Chapter8: Basic Electric Motors

Section: Chapter Questions

Problem 34RQ: Which of the following is the capacitance of an 88-microfarad and a 108-microfarad starting...

See similar textbooks

Related questions

Q: A 20? resistor is connected in parallel with a 5 mH inductor. This parallel combination is connected…

A: Note: As per our honor code, we are authorized to answer only 3 sub-parts, we’ll answer the first…

Q: How does the current through the inductor relate to the voltage across the inductor when the input…

A: As per barltbey guidelines for more than one question asked only first is to be answered please…

Q: omponent is an inductor with 200mH inductance and the third component has a capacitance of 80…

Q: s that capacitor and tors have capacitancw pacitors uncharged, position A at a tim itor? What is the…

A: Since you posted a question with multiple sub-parts. We will solve the first three sub-parts for…

Q: 2. An RC circuit with a 1-0 resistor and a 0.000001-F capacitor is driven by a voltage E(t) sin100t…

Q: Find the voltage v0 across the inductor as shown in figure below by using the superposition theorem.

Q: The figure shows voltage and current graphs for a capacitor. Part A Choose the graph that represents…

Q: A capacitor with capacitance C=14 microfarad is charged with a 10 kilo-ohm resistor. The relaxation…

A: In this question we need to find a relaxation time of the given circuit.

Q: An RC circuit has an emf of 10 sin t volts, a resistance of 120 ohms, a capacitance of 0.5 farad,…

Q: Determine the capacitance and voltages (Vrms) across the resistor and capacitor and prove that the…

Q: I have a series circuit with a source of 50V, resistor 400 ohms, capacitor Xc=120 ohms, and a 60 Hz.…

A: If f is the frequency of the input AC signal, then the reactance of the capacitor of capacitance C…

Q: A 10.0-μF capacitor and a 2.00-H inductor are connected in series with a 60.0-Hz source whose rms…

A: Given, Capacitance, C = 10 μF Inductance, L = 2.00 H Frequency, f = 60 Hz Voltage, V = 100 V (rms)

Q: Given a series RL circuit that has a resistance of 10Ω and an inductance of 470mH, and has been…

A: Given a series RL circuit that has a resistance of 10Ω and an inductance of 470mH, and has been…

Q: An RC circuit has an emf of 10 sin t volts, a resistance of 100 ohms, a capacitance of 0.005 farads,…

A: Based on the basic electrical circuit

Q: Write the circuit current equation, the capacitor voltage equation and the voltage equation at the…

A: We need to write current and voltage equation for a series RC circuit .

Q: c) Calculate the required capacitor value for a frequency of 550k H z and find its time period. The…

A: Given:

Q: Given a series RC circuit that has a resistance of 12MΩ and a capacitance of 47µF, and attached to a…

A: Given : a series RC circuit what will the voltage drop across the capacitor be when 5 time…

Q: mine the value of the capacitor C to be connected in parallel with the total load to he PF to unity.…

Q: Suppose that at t=0, we connect an uncharged 10{μF capacitor to a charging circuitconsisting of a…

A: Given values are = Initially, We connect an uncharged 10μF capacitor to a charging circuit…

Q: 147. For the circuit shown in figure, the voltage across the capacitor during steady state condition…

A: In this question , we will find voltage across capacitor in steady state...

Q: A series RLC circuit contains a 4-kΩ resistor, an inductor with an inductive reactance of 3.5 kΩ,…

Q: Consider an inductor that is connected to a voltage source that has the waveform given in (a), and…

A: Energy stored in inductor given by E = (1/2) Li^2 Now from energy curve E at t=0.5sec is approx 38nJ…

Q: H.W 3: The current through a 100-mF capacitor is given. Find the sinusoidal expression for the…

A: Given:

Q: An RC circuit has an emf of 10 sin t volts, a resistance of 120 ohms, a capacitance of 0.5 farad,…

A: The solution is given below

Q: If the current through an inductor L=5-mH is given by the following figure. Give the respected…

Q: Given the following image of a practical inductor, what is true? Practical HEFF inductor Rpc RAC L…

Q: To measure the capacitance C of a capacitor, you attach the capacitor to a battery and wait until it…

A: We need to find the value of an unknown capacitor after performing several experiments using…

Q: Capacitances of 10 μF and 20 μF are connected in parallel, and this pair is then connected in series…

Q: Obtain the equivalent capacitance of the circuit below

A: In this question we will find equivalent capacitance....

Q: Assuming the initial current through the inductor is zero and the capacitor is uncharged in the…

Q: A 500-2 resistor, an uncharged 1.50-µF capacitor, and a 6.16-V emf are connected in series. (a) What…

Q: A 20-µF capacitor is connected in parallel to the series connection of a variable resistor R and a…

A: This question belongs to circuit theory . It is based on the concept of equivalent impedance of the…

Q: A series circuit contains a 20-Ω resistor and a capacitor with a capacitance of 110.5 µF. If the…

A: It is given that, In a series circuit, The value of resistor is, The value of capacitor is, The…

Q: Suppose the voltage across the inductor is ΔvR = ΔVmax= RVmax sin wt Find the current through this…

A: As we have given: R=4 △VR=RVmaxsinωt Step 1: Calculate current through inductor…

Q: 3 Inductors are difficult to use as components of integrated circuits due to the need for large…

A: Given circuit is =

Q: A capacitor has been connected in series with a resistor to a DC source at t=0. If the capacitor has…

A: Vc(t)=V(∞)+((V(0)-V(∞))e-tτ V(0)=2 Convert current source to voltage source V=IsR

Q: An RLC circuit consists of a 150-Ω resistor, a 21.0-μF capacitor, and a 460-mH inductor connected in…

A: Inductive reactance, Capacitive reactance Therefore, the impendence

Q: Given a 10V AC source at 100HZ in an RC circuit with capacitance of 220NF and resistance of 510…

Q: Find the equivalent circuit of the given circuit. Voltage across inductor at t=39micro second.…

A: Calculate the Thevenin resistance across the inductor.

Q: A 2-mH inductor is placed in parallel with a 2-k resistor. Determine the cutoff frequency q.(in…

Q: 50. The equivalent circuit of a capacitor in a steady-state condition. a. Open b. Short

A: Given: Steady State Condition To Find: Equivalent circuit of capacitor in…

Q: What will happen to the current in the PURE CAPACITOR if the frequency is adjusted higher? and What…

Q: An ideal inductor of 50 mH is connected in series with a 175 microfarad capacitor. The combination…

A: Current is leading when capacitive reactance is more than inductive reactance. From given values…

Q: . Suppose the voltage across the inductor is ΔvL = ΔVmax= RVmax sin wt Find the current through this…

A: Given in the question: Voltage across the inductor, ∆Vmax=RVmaxsinωtAnd, R = 4ΩSo,∆Vmax=4Vmaxsinωt…

Q: Given a series RC circuit that has a resistance of 12MΩ and a capacitance of 47µF, how long will it…

A: Capacitor

Question

Show complete and step by step solution.

A resistor and a capacitor are
connected in series across a supply of
250V. When the supply frequency is
50HZ, the current in the circuit is 5A.
When the supply frequency is 60HZ,
the current is 5.5A. Find the value of
the capacitance.
96.436 microfarad
O 43.966 microfarad
34.696 microfarad
63.943 microfarad
O 69.436 microfarad
36.496 microfarad

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

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 postage stamp capacitor has the following color marks starting at the upper-left dot: black, orange, orange, black, silver, and white. What are the capacitance value and tolerance of this capacitor?
List the five capacitor replacement rules.
Which of the following is the capacitance of an 88-microfarad and a 108-microfarad starting capacitor connected in series? 196 microfarad 96 microfarad 48 microfarad 40 microfarad
An RLC series circuit has an impedance of 60 Ω and a power factor of 0.50, with the voltage lagging the current. (a) Should a capacitor or an inductor be placed in series with the elements to raise the power factor of the circuit?(b) What is the value of the capacitance or self-inductance that will raise the power factor to unity?
Answer the following with illustration and solution. 1.) A circuit consisting of a resistor of 5kohms in series with a capacitor of 10 nanofarad is connected across a 16v sinusoidal supply. Calculate the output voltage at a frequency of 60Hz and again at frequency of 120Hz. This is the example/guide that might help.
An inductive coil of resistance 15 ohms and inductance 0.2 is commented in parallel with a 100 microfarad capacitor to a variable frequency supply.Find the frequency at which the total current taken is in phase with the supply voltage. What is the value of this current if the voltage is 200V.Draw a phasor diagram
Shown in the figure below is an "RLC" circuit driven by an AC power source. The AC power source has an RMS voltage of Vps(RMS) = 11.80 Volts and is running at a frequency of f = 147000 Hz. The resistor has a resistance of R = 3910 Ω, the capacitor has a capacitance of C = 4.01e-10 Farads, and the inductor has an inductance of L = 5.97e-03 Henries.Write the FORMULA for the total impedance of the circuit Ztot = Write the FORMULA for the phase of the total impedance of the circuit ?Ztot = Determine the numerical value of Ztot = ΩDetermine the numerical value of ?Ztot = degreesDetermine the current through the circuit: I(PEAK) = Amps I(RMS) = Amps Determine the voltage across the inductor: VL(PEAK) = Volts VL(RMS) = Volts Determine the voltage across the capacitor: VC(PEAK) = Volts VC(RMS) = Volts If a second circuit were connected in parallel with the resistor, this circuit would be considered as: a high-pass filtera flux capacitor a radio tunera phase…
A RESISTOR OF 28 ohms AND A CAPACITOR OF 66 Mf ARE IN SERIES. THE CAPACITOR VOLTAGE IS 50 sin 1000t. FIND THE TOTAL VOLTAGE, THE ANGLE BY WHICH THE CURRENT LEAD THE VOLTAGE, AND THE MAGNITUDE OF THE IMPEDANCE.
An inductor L1 is connected in series with a parallel combination of inductor L2 and capacitor C. The impedance of the circuit with ω = 400 rad/s is j100 Ω. The circuit is to yield infinite impedance at ω = 1000 rad/s and zero impedance at ω = 2000 rad/s. Determine the value of capacitance of the capacitor C.4.
You are given the below RLC circuit, answer the following questions and show the steps in details The voltage developed across the inductor (VL) The voltage dropped across the capacitor (VC) The voltage dropped across the resistor (VR) The impedance of the circuit The supply Current (I) The phase angle
Which of the following is the capacitance of two 20-microfarad running capacitors connected in parallel? Select one: A. 20 MICROFARAD B. 40 MICROFARAD C. 10 MICROFARAD D. 30 MICROFARAD
An inductive coil of resistance 15 ohms and inductance 0.2H is connected in parallel with a 100 micro farad capacitor to a variable frequency supply. Find the frequency at which the total current taken is in phase with the supply voltage. What is this value of this current if the voltage is 200v. Draw a phase diagram